Forewords · Our special gratitude to the Rector of Brawijaya University, Prof. Dr. Ir. Nuhfil Hanani, AR, MS for the valuable support to this conference. I also would like to take

Forewords

We welcome you to the The 15th International Symposium on Geometric Function Theory andApplications (GFTA 2019) held November 4–6, 2019 in Santika Premier Hotel Malang.

As continuation of the series of the annual international “GFTA” symposia, the aim of thesymposium is to bring together leading experts as well as researchers working on topics, mainlyrelated to Univalent and Geometric Function Theory. This year, with the topic of “RecentDevelopment of Geometric Function Theory”, the conference provides a forum for reporting therecent developments & represent current important work in the research and application ofGeometric Function Theory. In general, with the participation of distinguished world-classresearchers and practitioners, we have only selected 27 papers out of 55 submitted papers.

The program for this conference required the dedicated effort of many people. We We want toexpress our gratitude to the members of the Program Committee and the Scientific Committee, fortheir hard work in reviewing submissions. We also thank all Keynote & Invited Speakers; Prof.Daniel Breaz (Minister of Culture, Romania), Prof. Shigeyoshi Owa (Kinki University Higashi-Osaka,Japan), Prof. Marcus Wono Setyobudi, Ph.D (ITB, Indonesia), Prof. Maslina Darus (UKM, Malaysia),Prof. Ch. Rini Indrawati (UGM, Indonesia), Prof. Dr. Zhi-Gang Wang (Hunan First Normal University,China), Associate Prof. Melike Aydogan (Istanbul Technical University, Turkey), Dr. Abdussakir, M.Pd(UIN Maulana Malik Ibrahim, Indonesia), and Dr. Miswanto, M.Si (Airlangga University, Indonesia).

Finally, we are grateful for the support by the Department of Mathematics, Faculty of Mathematicsand Natural Sciences, Brawijaya University. We also extend our thanks to all members ofKomunitas Analisis Matematika Indonesia (KAMINDO) for their continuous supports andparticipations in this conference. Finally, the conference would not be possible without the excellentpapers contributed by authors. We thank all the authors for their contributions and theirparticipation in GFTA 2019.

Prof. Dr. Marjono, M.PhilChairman, Organizing Committee of GFTA 2019

Forewords

It is with great pleasure to warmly welcome all the distinguished guests, eminent Keynote andInvited Speakers, as well as all participants who participate to The 15th International Symposiumon Geometric Function Theory and Applications (GFTA 2019) at Santika Premier Hotel in the city ofMalang. We, at the Mathematics Department of Brawijaya University, were very pleased anddelighted when we were chosen to host this event and have put a lot of effort into making it amemorable experience.

This international conference provides opportunity to the mathematicians, practitioners, andresearchers, to discuss and address the challenges, especially in the field of Geometric FunctionTheory.

Our special gratitude to the Rector of Brawijaya University, Prof. Dr. Ir. Nuhfil Hanani, AR, MS for thevaluable support to this conference. I also would like to take the pleasure to thank Prof. Dr.Marjono for the great collaboration and coordination.

Moreover, on behalf of all the members of Komunitas Analisis Matematika Indonesia (KAMINDO) orIndonesian Mathematical Analysis Community, we would like to congratulate to all Keynote andInvited Speakers, as well as participants with their contributions. Our sincere appreciation alsogoes to the members of the Organizing and Scientific Committees for their diligence and dedicationtowards making a successful symposium. It is indeed a great honor for KAMINDO to have had theopportunity of co-organizing this conference. We are looking forward to greater academic andresearch collaboration in the future.

Finally, we do hope that all participants will find the GFTA 2019 Conference both enjoyable andvaluable.

Ratno Bagus Edy Wibowo, M.Si, Ph.DHead of Mathematics Department, Brawijaya UniversityPresident of KAMINDO

Committee Members

ORGANIZING COMMITTEE

Rector of Brawijaya University (BU)Vice Rector of Academic Affairs BUVice Rector of Planning and Cooperation BUDean of Faculty of Mathematics and Natural Sciences BUMarjono (Chairperson)Ratno Bagus Edy WibowoSyaiful AnamAbdul Rouf AlghofariMoh. MuslikhMoh. Aruman ImronCorina KarimSa’adatul FitriWuri Fitriati UtamiRiesky Ovta Hidayat

SCIENTIFIC COMMITTEE

Head of Scientific CommitteeMarjono (Indonesia)

• Ratno Bagus Edy Wibowo (Indonesia)• Jalina Widjaja (Indonesia)• Marcus Wono Setyobudi (Indonesia)• Ch. Rini Indrawati (Indonesia)• Maslina Darus (Malaysia)• Ishak Hashim (Malaysia)• Abdul Ghafur Ahmad (Malaysia)• Daniel Breaz (Romania)• Mugur Acu (Romania)• Nicoleta Breaz (Romania)• Teodor Bulboaca (Romania)• Gabriela Kohr (Romania)• Grigore Stefan Salagean (Romania)

• Melike Aydogan (Turkey)• Emel Yavuz Duman (Turkey)• Yasar Polatoglu (Turkey)• H. Özlem GÜNEY (Turkey)• F. Müge Sakar (Turkey)• Firas Ghanim (UAE)• Khalifa Al-Shaqsi (Oman)• Virginia Kiryakova (Bulgaria)• Sanford S. Miller (USA)• Milutin Obradovic (Serbia)• Shigeyoshi Owa (Japan)• Hari M. Srivastava (Canada)• Nikola Tuneski (R. Macedonia)

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Table of Contents

KEYNOTE SPEAKERS 1 ......................................................................................................

1 On the Coefficients of quasi-convex Functions 3 .................................................................................

2 Survey on Real and Complex Morrey and Campanato Function Spaces 4 ..............................................

3 Recent Developments on Convolutions of Univalent Harmonic Mappings 5 ...........................................

4 Some Functional Analytic Properties of The Kunugi Integral 6 ..............................................................

5 Flashback Work on Univalent Functions and New Work on q-derivatives 7 .............................................

6 The Higher Coefficients for Bazilevic Functions $B1(\alpha)$ 8 ...........................................................

INVITED SPEAKER 9 .........................................................................................................

1 On the Topological Indices of Graphs Associated With a Commutative Ring 11 .....................................

PARTICIPANTS 1 ...............................................................................................................

1 The Fekete-Szego Problem for Subclasses of Analytic Functions Associated with Touchard Polynomials3 .................................................................................................................................................

2 The Fifth Coefficient of Strongly Convex Functions 4 ...........................................................................

3 Coefficient Estimates and Fekete-Szego Problem for New Classes of Bi-univalent Functions Defined bySalagean Integro-Differential Operator 5 .........................................................................................

4 Classes of Analytic Functions Involving a Generalization by The Srivastava-Attiya Operator 6 ..................

5 Coefficient Bounds Problem for Functions Associated with Universally Prestarlike Functions 7 ...............

6 On A New Subclass of Analytic Functions with Negative Coefficients Defined by Using The q-derivative8 .................................................................................................................................................

7 Existence of Global Weak Solutions for Singular Parabolic System of p–Laplacian Type 9 ......................

8 Description of Projective Transvection of Projective Special Linear Group 10 .........................................

9 Innovative Method to Evaluate Halal Assurance System (HAS 23000) Audit Results Using Single ValueNeutroshopic Number 11 ..............................................................................................................

10 Analysis of Grouping ABC – VED and Predicting The Number of Requests (Case Study TB. Bina UsahaTemanggung Indonesia) 12 ...........................................................................................................

11 Application Artificial Neural Network from Database Predicted Normalized Temperature and Humidity inRoom 13 .....................................................................................................................................

12 Classification A Suitable Contraception Tool Using Naive Bayes Classifier Method 14 .........................

13 Estimation of Matrix Variance-Covariance on Nonparametric Regression Spline Truncated forLongitudinal Data 15 ....................................................................................................................

14 Modelling of SDG\'s Achievement in East Java Using Biresponse Non Parametric Regression withMixed Estimator Spline Truncated and Kernel 16 ............................................................................

15 Factor that Influence The HDI and GDI in East Java using Spline Truncated Estimation of BiresponseNonparametric Regression 17 .......................................................................................................

16 Confidence Interval for Parameter of Biresponse Semiparametric Regression Model Based on SplineTruncated Approach 18 .................................................................................................................

17 Optimal Control of HIV/AIDS Epidemic Model with Two Latent Stages and Treatment 19 .....................

18 Dynamical Analysis of a Rotavirus Infection Model with Vaccination and Saturation Incidence Rate20 ...............................................................................................................................................

19 Dynamical Analysis of Two Prey – One Predator System with Competition Between Preys 21 ...............

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20 Segmentation of Leaf Spots in Apple Plants Using Particle Swarm Optimization and K-means Algorithm22 ...............................................................................................................................................

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KEYNOTE SPEAKERS

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On the Coefficients of quasi-convex Functions

O. ALTINTAS1, M. AYDOGAN2

1Department of Mathematics education, Baskent University, Ankara, Turkey2Department of Mathematics ,Istanbul Technical University, Istanbul, Turkey

Email: [email protected], [email protected]

ABSTRACTS

In this paper we introduce and investigate the class of that we call the class of

quasi-starlike and quasi-convex functions with respect to the values of the parameter . Also we

define the class which is satisfy non-homogeneous Cauchy-Euler differential

equation. We obtain coefficient bounds for the functions belonging the above classes.

[1] Altıntaş O, Ozkan O and Srivastava H.M. Neighbourhoods of a certain family of multivalent

functions with negative coefficients, Computers and Mathematics with Applications 47 (2004),

1667-1672.

[2] Altıntaş O 2010 Certain Applications of subordination associated with neighbourhoods.

Hacettepe Journal of Mathematics and Statistics. Vol 30(4) (2010), 527-534.

[3] Altıntaş O. An application on Differential Subordination. International Conference on

Mathematical Sciences AIP Conference Proceeding 1309 (2010), pp. 939-945.

[4] Altıntaş O. and Ozkan K O. Coefficient estimates for a class containing quasi-convex functions.

Turk J. Math. 2019;42: 2819-2925.

[5] Diziubinski I. Quasi-starlike functions, Ann. Polon. Math. 26 (1972) p. 175-197.

[6] Goodman AW. Univalent Functions Vol I, Vol II. Mariner Publishing, Tampa, Florida, 1983.

[7] Kaplan W. Close-to-convex Schlicht Functions. Mich. Math. J. (1952),168-185.

[8] Khalida Inayat Noor, On quasi-convex functions and related topics. Internat. J. Math. Sci. Vol.10

No.2,(1997), 241-258.

[9] Khalida Inayat Noor and Sarfraz Nawaz Malik. On a subclass of quasi-convex univalent functions,

World Applied Sciences Journal 12 (12), (2011), 2202-2219.

[10] Pommerenke Ch. Univalent Functions, Vandenhoeck and Ruprecht. Göttingen, 1975.

[11] Read, M.O. On close-to-convex functions Michigan Math. J. 3. (1955), 59-62.

KEYWORDS: Starlike functions, Convex functions, coefficient bounds, quasi-starlike functions,quasi-convex functions


4/12

Survey on Real and Complex Morrey and CampanatoFunction Spaces

MARCUS WONO SETYA BUDHI

Institut Teknologi Bandung, Indonesia

Email: [email protected]

ABSTRACTS

In the study of partial differential equations, we try solve the problem about existence and regularity

theory. Usually we do that in the Lebesque space to find its weak solutions, which cannot be

related to the pointwise properties.

Then, using the Sobolev Embedding Theorem, we get the pointwise solution. But in the Lebesgue

space, its parameters are fixed and only depend to the dimensions of the domain of functions,

regardless of the partial differential equation.

The question then, is there any better function space than the Lebesgue spaces. The answer to this

question is positive, there are function spaces known as Morrey spaces and Campanato spaces.

This space has two parameters. One parameter is related to the parameters of the Lebesgue

space, and another parameter that can be played for the purpose of working on certain differential

equations.

In this talk, we will first look at the definitions of the Morrey and Campanato spaces for real value

functions. A few properties of new function spaces. We will also talk about the boundedness of

fractional integrals operator and fractional integral operator with rough kernels. Finally, we list the

definition of Morrey and Campanato space for complex valued functions that emerges recently.

KEYWORDS: partial differential equation, Morrey spaces, Campanato spaced

0


Recent Developments on Convolutions of UnivalentHarmonic Mappings

ZHI-GANG WANG

Hunan First Normal University, China


ABSTRACTS

In this report, we prove that convolutions of harmonic right half-plane mappings with harmonic

vertical strip mappings are univalent and convex in the horizontal direction. The proofs of these

results make use the Gauss-Lucas Theorem. Our results show that two recent conjectures, the one

by Kumar, Gupta, Singh and Dorff, and the one of Liu, Jiang and Li, are true. Moreover, several

examples of univalent harmonic mappings related to the above-mentioned results are presented,

suggesting that the bounds given by our results may be sharp.

KEYWORDS: harmonic mappings, univalent harmonic mappings, Gauss-Lucas Theorem


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Some Functional Analytic Properties of The KunugiIntegral

CRISTIANA RINI INDRATI

Department of Mathematics, FMNS, Universitas Gadjah Mada, Indonesia


ABSTRACTS

The Kunugi integral on is an integral which is more general than the Lebesgue integral on

. The Kunugi integral is equivalent with the A-integral which has many applications to Fourier

series.

Based on the fact that the class of all Kunugi integrable functions on is a linear space, it will

be discussed some functional analytic properties of the Kunugi integral.

KEYWORDS: Kunugi integral, Lebesgue integral, A-integral, linear space, and functional analyticproperties

0


Flashback Work on Univalent Functions and New Workon q-derivatives

MASLINA DARUS

Centre for Modelling and Data Science, Faculty of Science and Technology, Universiti KebangsaanMalaysia


ABSTRACTS

The main purpose here is to recall some works that have been done for the past 20 years in the

area of univalent functions. Koebe function defined in 1907 [1] by P. Koebe was

the main game played by most mathematicians during that time. These types of functions are

denoted by S. The celebrated Bieberbach conjecture of 1916 [2] stated as: Let , then

for all raised based on Koebe function and was left open for more than 60 years

or so. It was then solved in 1985 by Louis de Branges and named as de Branges Theorem. Here,

my focus will be on coefficient problems related to Fekete-Szego problems and many other results

for various subclasses of that have been my main interests since 1996. Only, recently, we look

into q-derivatives and related problems [see eg. 3-6]. We shall discuss on some solved and open

problems related to q-derivatives.

References

[1] P. Koebe, Über die Uniformisierung beliebiger analytischer Kurven, Göttinger Nachrichten. Ges.

Wiss. (1907), 191- 210.

[2] L. Bieberbach, Über einige extremal probleme im Gebiete der konformen abbdildung.

Math. Ann. 77 (1916), 153-172.

[3] R. Ibrahim and M. Darus, New symmetric differential and integral operators defined in the

complex domain, Symmetry. 2019,11. 906, 12pp. doi:10.3390/sym11070906.

[4] S. Khan, S. Hussain, M. A. Zaighum and M. Darus, A subclass of uniformly convex functions

and a corresponding subclass of starlike function with fixed coefficient associated with q-analoque

of Ruscheweyh operator , Math. S lovaca, 69 (2019), No. 4, 825–832, DOI :

10.1515/ms-2017-0271.

[5] H. Aldweby and M. Darus, A Note On q-Integral Operators, Electronic Notes in Discrete

Mathematics, 67(2018), 25-30.

[6] H. Aldweby and M. Darus, Coefficient estimates of classes of Q-starlike and Q-convex functions,

Advanced Studies in Contemporary Mathematics (Kyungshang), 26(1)(2016), 21-26.

KEYWORDS: univalent functions, q-derivatives, Koebe function


8/12

The Higher Coefficients for Bazilevic Functions

MARJONO

Deparment of Mathematics, University of Brawijaya, Indonesia


ABSTRACTS

Let be analytic in with , and normalized by the

conditions . We give sharp estimates for the seventh and eighth coefficients

for the class of Bazi levic functions with logarithmic growth, , defined by

for

KEYWORDS: univalent, bazilevic functions, coefficients, inverse coefficients.

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INVITED SPEAKER

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On the Topological Indices of Graphs Associated Witha Commutative Ring

ABDUSSAKIR

Department of Mathematics Education, Universitas Islam Negeri Maulana Malik Ibrahim, Malang,Indonesia


ABSTRACTS

Research on topological indices that were originally only related to graphs derived from biological

activities or chemical structures and reactivities has now evolved to graphs related to algebraic

structures, such as groups, rings or modules. This paper will present various topological index

concepts, various graph concepts obtained from a commutative ring and some previous studies

that are relevant to these two concepts. Based on the various concepts presented, research topics

related to topological indices of a graph associated with a commutative ring can be found and

carried out.

KEYWORDS: topological index, graph, commutative ring

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A B S T R A C T S

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0


The Fekete-Szego Problem for Subclasses of AnalyticFunctions Associated with Touchard Polynomials

KHALIFA ALSHAQSI

Nizwa College of Technology, Oman


ABSTRACTS

Using the integral operator introduced by the author new subclasses of analytic functions are

introduced. For these classes, several Fekete–Szego type coefficient inequalities are obtained.

KEYWORDS: analytic functions, Starlike functions, subordination, Fekete–Szego inequality, Touchardpolynomials

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The Fifth Coefficient of Strongly Convex Functions

KRISNA ADILIA DANISWARA, S.SI1, PROF. DR. MARJONO, M.PHIL2, RATNO BAGUS EDYWIBOWO, S.SI, M.SI, PH.D3

1, 2, 3Brawijaya University, Indonesia

Email: [email protected], [email protected], [email protected]

ABSTRACTS

Let the function be analytic in and be given by For

, l e t be t he c l ass o f s t r ong l y convex f unc t i ons de f i ned b y

We give bounds for when

KEYWORDS: strongly convex, univalent functions, fifth coefficient

0


Coefficient Estimates and Fekete-Szego Problem forNew Classes of Bi-univalent Functions Defined bySalagean Integro-Differential Operator

AGNES ORSOLYA, PALL-SZABO

Babes-Bolyai University, Cluj-Napoca, Romania


ABSTRACTS

In this paper we introduce and investigate three new general classes of bi-univalent functions

defined by Salagean integro-differential operator. Bounds of the first three coefficients ,

and are given.

We obtain Fekete-Szego functional for these classes.

KEYWORDS: bi-univalent functions, Salagean integral and differential operator, coefficient bounds,Fekete-Szego problem

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Classes of Analytic Functions Involving aGeneralization by The Srivastava-Attiya Operator

FIRAS GHANIM AHMED

University of Sharjah, United Arab Emirates


ABSTRACTS

In this research article, we present a class defined by a new generalization operator one

that is studied and investigated recently by many authors. We present several important properties

for the function which belongs to the class in the unit disc.

KEYWORDS: analytic functions, Srivastava-Attiya operator, convolution

0


Coefficient Bounds Problem for Functions Associatedwith Universally Prestarlike Functions

T N SHANMUGAM1, J. LOURTHU MARY2

1Anna University, Chennai2Yuvabharathi International School, Singapore


ABSTRACTS

Universally prestarlike functions of order in the slit domain \ have been

recently introduced by . Ruscheweyh. This notion generalizes the corresponding one for functions

in the unit disk (and other circular domains in ). In this paper, we obtain coefficient bounds for

certain class of analytic functions associated with universally prestarlike function.

KEYWORDS: Prestarlike functions, Universally Prestarlike functions, Coefficients, Fekete–Szegoinequality, fractional derivative

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On A New Subclass of Analytic Functions with NegativeCoefficients Defined by Using The q-derivative

BUCUR IULIA-ROBERTA1, BREAZ DANIEL2

1University of Pitesti, Romania2\"1 Decembrie 1918\" University of Alba Iulia, Romania


ABSTRACTS

In this paper we define a new class of analytic functions with negative coefficients involving the -

differential operator. Our main purpose is to give a systematic study of the functions belonging to

this class. Connections with previous results are pointed out.

KEYWORDS: analytic functions, Janowski functions, negative coefficients, q-calculus, q-differentialoperator

0


Existence of Global Weak Solutions for SingularParabolic System of p–Laplacian Type

PURNAMA RAYA AKBAR1, CORINA KARIM2, RATNO BAGUS EDY WIBOWO3

1, 2, 3Departement of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University,Veteran, Malang 65145, Indonesia


ABSTRACTS

The p-Laplace equation is one type of nonlinear partial differential equation. In this research,

Galerkin method and Moser iteration was applied to prove the existence of global weak solutions

for Cauchy–Dirichlet problem for p–Laplacian systems in the singular case . The initial data

in the Sobolev space .

KEYWORDS: Moser iteration, Galerkin method, p-Laplace operator, Sobolev space

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Description of Projective Transvection of ProjectiveSpecial Linear Group

SHAKIR MAHMOOD SABBAR

Brawijaya University, Indonesia


ABSTRACTS

The purpose of this paper is to introduce one of the most important element closely connected with

the classical linear group namely projective special linear groups of degree 2 over a

Oeld , where is the center of special linear group SL2(K) consists of all scalar matrices whose

determinants 1. This element called projective transvection which is an element of projective

special linear group that is, a coset where g is some element in . In the

present study, we try to extent our conception of projective transvection. So we say this element a

generation set of . For that reason, we interesting of study this tool for obtaining more

conception about so we can describe subgroups of .

KEYWORDS: transvection, elementary transvection, quadratic unipotent, projective transvection,projective special linear group

0


Innovative Method to Evaluate Halal Assurance System(HAS 23000) Audit Results Using Single ValueNeutroshopic Number

FERI EDY PURNOMO

Department of Tech. Management, Faculty Business and Tech. Management, Sepuluh NopemberInstitute of Technology, Surabaya


ABSTRACTS

The Halal food industry in Indonesia has becoming an alternative and trend in the global market.

The quality management system played a role in maintaining company consistency in implementing

a quality management system that continued to develop in the food industry such as the Halal

Assurance System (HAS 23000) LPPOM MUI. Internal audit is a part of the verification tools carried

out internally by the company required to meet the eleven criteria such as procedures, work

instructions and documentation has been implemented with consistency and integrity. However,

there are many problems in assessing consistency and integrity, among others, expertise auditor

factor and also the auditor‘s assessment as a human being tends to be doubtful related to

standard interpretation, using a general impression in his assessment, incorrectly determining the

classification/grading of findings, so the audit results has not produced a quantitative assessment.

The research aims to use of the Neutrosophic Quality Audit (NQA) model. The proposed model uses

Single Value Neutrosophic Numbers (SVNN). Simplified Neutrosophic Weighted Geometric Average

Operator (SNWGAO) and cosine similarity degree. The result an innovative model will be reliable

solution in improving the halal assurance system audit in the food industry. An illustrative example

is provided to validate the proposed model.

KEYWORDS: halal, internal audit, Single Value Neutrosophic Number

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Analysis of Grouping ABC – VED and Predicting TheNumber of Requests (Case Study TB. Bina UsahaTemanggung Indonesia)

KWARDINIYA ANDAWANINGTYAS

Universitas Brawijaya, Indonesia


ABSTRACTS

Market competition requires a company to be able to optimize the management of the company

that are appropriate, effective and efficient. It is considered very important because of the rapid

development of business in this millennium era, so it can compete with other companies to be able

to meet consumer demand. To plan management at TB. Bina Usaha Temanggung Indonesia is used

ABC analysis to sort items that dominate sales based on investment value. VED analysis aims to

classify goods based on the level of importance of store owner‘s sales needs into 3 categories,

namely Vital, Essential, and Desirable. Classification of the drug using ABC – VED analysis produce

a matrix that differentiates into three categories, namely category I is composed of AV, AE, AD, BV

and CV; category II consists of BE, CE, and BD; and the third category consists of CD. The results

of the ABC-VED analysis are then predicted the number of requests for goods with the Double

Exponential Smoothing method from Brown. This forecasting method is used when the data indicate

a trend. Trend is a smoothed estimate of average growth at the end of each period. Forecasting

results are expected to help plan inventory for the coming year at TB. Bina Usaha Temanggung

Indonesia to prioritize sales.

KEYWORDS: ABC – VED analysis, Double Exponential Smoothing, demand

0


Application Artificial Neural Network from DatabasePredicted Normalized Temperature and Humidity inRoom

SOFIAN RIZAL

Pusteksat LAPAN, Indonesia


ABSTRACTS

Artificial neural network is a mathematical model that tries to simulate the structure and

functionalities of biological neural networks. A neural network is a machine that is designed to

model the way in which the brain performs a particular task or function of interest. Basic building

block of every artificial neural network is neuron. Such a model has three simple sets of

multiplication, summation and activation. The purpose of this network is to examine neural network

and their emerging applications in the field of engineering focusing on control. The network is

implemented by using electronic components and is simulated in software on a digital computer. In

this work examined the application of neural network for predicted normalized temperature and

humidity in room and the learning process. A neural network derives its computing through its

massively parallel distributed structure and its ability to learn and generalize. Generalization refers

to the neural network’s production of reasonable outputs for inputs not encountered during training

or learning. The function of which is to modify the synaptic weights of the network in an orderly

fashion to attain a desired design objective. The needs for neural networks, training of neural

networks and important algorithms have been discussed. Artificial Neuron is sum function that

sums all weighted inputs and bias. At the exit of artificial neuron the sum of previously weighted

inputs and bias is passing trough activation function that is also called transfer function. It

concluded by identifying limitations, recent advances and promising future research directions.

KEYWORDS: network, temperature, humidity, learning, weight

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Classification A Suitable Contraception Tool UsingNaive Bayes Classifier Method

DRA. ENDANG WAHYU HANDAMARI

Mathematics Department, Brawijaya , Indonesia


ABSTRACTS

This paper concerns with a classification method applied to investigate which factors are used to

choose a suitable contraception tool. There are three factors, namely spouse, healthy, and

contraception method. These factors were described more detail into eleven factors. The

classification method used here is Naive Bayes Classifier Method. In this method, there are six

potential contraception tools which are considered as six classes, while the eleven factors are

considered as attributes. This methods is applied by assuming that every attribute was

independent. Moreover an algorithm based on the Naive Bayes Classifier method is constructed.

This algorithm then was implemented becomes a user friendly software, which is very helpful for

acceptors, with their eleven attribute, to determine a suitable contraception toolThis paper

concerns with a classification method applied to investigate which factors are used to choose a

suitable contraception tool. There are three factors, namely spouse, healthy, and contraception

method. These factors were described more detail into eleven factors. The classification method

used here is Naive Bayes Classifier Method. In this method, there are six potential contraception

tools which are considered as six classes, while the eleven factors are considered as attributes.

This methods is applied by assuming that every attribute was independent. Moreover an algorithm

based on the Naive Bayes Classifier method is constructed. This algorithm then was implemented

becomes a user friendly software, which is very helpful for acceptors, with their eleven attribute, to

determine a suitable contraception tool.

KEYWORDS: contraception tool, Naïve Bayes Classifier, class, independent attribute

0


Estimation of Matrix Variance-Covariance onNonparametric Regression Spline Truncated forLongitudinal Data

MUSTAIN RAMLI1, VITA RATNASARI2, I NYOMAN BUDIANTARA3

1, 2, 3Institut Teknologi Sepuluh Nopember, Indonesia


ABSTRACTS

Regression analysis is a statistical analysis used to determine the pattern of relationships between

predictor variables and response variables. There are two models estimation approaches in

regression analysis, namely parametric regression and nonparametric regression. The parametric

regression approach is used if the shape of the regression curve is known. In cases with unknown

relationship patterns, the development is done using nonparametric regression. Nonparametric

regression is a model estimation method which is based on an approach that is not bound by

certain assumptions of the regression curve shape. One of the most commonly used nonparametric

regression curve estimates is the spline approach. Spline is one of the nonparametric approaches

that is often used and has a very good ability to handle data characters that are smooth as well as

data whose behavior changes at certain sub-intervals. Theoretically, the spline approach is not only

able to estimate nonparametric regression curves for cross section data, but can also be developed

for longitudinal data. Longitudinal data is a combination of cross section data and time series data

where the longitudinal data between subjects are mutually independent, but between observations

are dependent. This study aims to find the estimation curves of spline truncated multivariable

nonparametric regression for longitudinal data using the Weighted Least Square (WLS) method and

to find the estimation of variance-covariance matrix using the Maximum Likelihood Estimate (MLE)

method. Based on the Weighted Least Square (WLS) method, the estimated curve of the spline

truncated multivariable nonparametric regression for longitudinal data where

After that, the variance-covariance matrix estimation is obtained based on the following Maximum

Likelihood Estimate (MLE) method.

KEYWORDS: nonparametric regression, Spline truncated, Variance-Covariance matrix, longitudinaldata

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Modelling of SDG‘s Achievement in East Java UsingBiresponse Non Parametric Regression with MixedEstimator Spline Truncated and Kernel

PARAMITA DEWANTI1, I NYOMAN BUDIANTARA2, AGNES TUTI RUMIATI3

1, 2, 3Institut Teknologi Sepuluh November, Indonesia


ABSTRACTS

In the implementation of the goal of SDG‘s (Suistainable Development Goals), the Indonesian

government has grouped into 17 objectives of SDG‘s into 4 pillars, among others: social pillars,

economic pillars, the pillars of environmental development and the pillars of legal development and

Governance. Some strategic indicators are also able to be used to see the achievement of Merck‘S

especially achievement in social and economic pillars such as the Human Development Index (HDI)

and Gini Ratio. There are several variables allegedly affecting both strategic indicators. One method

used to model the effects of its variables is regression analysis. Regression analysis is a very

popular method of dependency analysis for research purposes and is useful to know the pattern of

the relationship between response variables and predictor variables. The results of the initial

exploration through the scatter plot shows a pattern that changes and disconnects at a certain

point for a variable IPM with a variable that is allegedly influencing it. With a scatter plot anyway, it

can be found that between the Gini ratio variables with some of its predictive variables, does not

have a specific pattern. Biresponse nonparametric regression is an analysis that appropriates with

that case. Biresponse nonparametric regression analysis is a regression analysis used when the

pattern between two response variables and some of the predictor variables is unknown or if there

is no prior information regarding the pattern of the variable. The appropriate estimator for the case

is a mixture of spline truncated and kernels. Both types of estimators have the advantage of being

able to handle the characteristics of smooth data/functions as well as data that has changed

behavior and achieves a relatively fast level of convergent. This research is expected to obtain the

best model to explain the influence of the indicator of SDG‘s achievement in East Java with variable

IPM and Gini Ratio to the educational, social and economic factors that affect it. The best model is

a model that has a minimum point knot and bandwidth using GCV (Generalized Cross-Validation)

KEYWORDS: biresponse nonparametric regression, Kernel, Spline truncated, SDG\‘s, HDI, Gini ratio

0


Factor that Influence The HDI and GDI in East Javausing Spline Truncated Estimation of BiresponseNonparametric Regression

LUTFIA SEPTININGRUM1, I NYOMAN BUDIANTARA2, JERRY DT PURNOMO3

1, 3Institut Teknologi Sepuluh Nopember, Indonesia2Institut Teknologi Sepuluh NopemberI, ndonesia


ABSTRACTS

Method in statistics that analyzes the pattern of relationships between response variables and

predictor variables that are unknown in the regression curve is nonparametric regression. In

general, nonparametric regression analysis involves one response, whereas in daily life problems it

often involves the relationship between two correlated response variables called bi-response

nonparametric regression. The aim of this research is to develop a model of bi-response

nonparametric regression using spline truncated. The estimation of regression function in bi-

response nonparametric regression is obtained by using Weighted Least Square (WLS) method. To

accommodate the correlation between two responses, can be overcome by using a variance-

covariance matrix. In this article, we estimate the variance-covariance matrix based on the spline

truncated on the bi-response nonparametric regression model. Spline truncated involves knot points

and controlling of the curve. Based on our simulation study to measures the achievement of human

basic capability development for the health, education and economic sectors within a region we

used HDI and GDI data in East Java, the estimated regression model of the spline truncated with a

variance-covariance matrix gives a smaller error value compared to the error of the model without

variance-covariance matrix.

KEYWORDS: biresponse nonparametric regression, GDI, HDI, Spline truncated, WLS, VarianceCovariance matrix

GFTA2019

18/24

Confidence Interval for Parameter of BiresponseSemiparametric Regression Model Based on SplineTruncated Approach

ANNISA RAMADHAN1, I NYOMAN BUDIANTARA2, VITA RATNASARI3

1, 2, 3Institut Teknologi Sepuluh Nopember, Indonesia


ABSTRACTS

Interval estimation or confidence interval is one of the statistical inferences. Interval estimation can

be used as a determination of the significant influence of predictor variables on the response

variable. In the context of social problems, the identification of factors that influence a particular

social variable is often the relationship between the variables partly known and partly unknown, so

the approach to semiparametric regression is better used. However, at confidence intervals for bi-

respond semiparametric regression, there has not been much work. So that in this study developed

interval estimates for model parameters using two response variables and five predictor variables

that have a pattern of relationships with different response variables. The semiparametric

regression approach of spline truncated bi-respond mixture was used to explain the pattern of the

relationship. The use of spline truncated regression due to its superiority is simplicity in

interpretation and good in its visual presentation. This study was applied to the percentage of

poverty data and Open Unemployment Rate (TPT) in Indonesia in 2017. The optimum knots and

bandwidth selection method uses the Generalized Cross-Validation (GCV) method. The results of

this study are expected to obtain the interval estimation formula for the semiparametric regression

spline truncated bi-respond model and is expected to be used as input for the government to take

strategy to reduce the overall poverty and unemployment in East Java.

KEYWORDS: semiparametric regression, bi-respond, interval estimasition, poverty, unemployment,spline truncated

0


Optimal Control of HIV/AIDS Epidemic Model with TwoLatent Stages and Treatment

NUR SHOFIANAH

Brawijaya University, Indonesia


ABSTRACTS

In this research, we discussed about optimal control of HIV/AIDS epidemic model with two latent

stages and treatment. In this model, the population is divided into 5 subpopulation, namely

susceptible subpopulation, slow latent subpopulation, fast latent subpopulation, symptomatic

subpopulation and AIDS subpopulation. The latent stage is divided into slow latent and fast latent

stage depend on the condition of immune system which is different for each individual. Treatment

(ART/antiretroviral) is given to infected individu in symptomatic stage. The rate of treatment from

symptomatic stage to slow latent stage and fast latent stage is set as and control variable,

respectively. Here, the objective of optimal control is to minimize the number of infected as well as

minimize the cost of controls. In order to get the optimal solution, optimal control is obtained by

applying Pontryagin Principle. In the end, we show some numerical simulations by using Forward-

Backward Sweep Method. Numerical simulation result show that the combination and control is

the most effective optimal control with minimum cost.

KEYWORDS: optimal control, HIV/AIDS model, Pontryagin principle, Forward-backward sweepmethod

GFTA2019

20/24

Dynamical Analysis of a Rotavirus Infection Model withVaccination and Saturation Incidence Rate

NORANIZA BAHROTUL ILMI1, ISNANI DARTI2

1, 2Department of Mathematics, Faculty of Mathematics and Natural Sciences, Brawijaya University,Indonesia


ABSTRACTS

In this paper, a mathematical model of rotavirus infection incorporating vaccination with saturated

incidence rate is developed and analyzed. Dynamical analysis of this model is done by determining

the equilibrium point and stability of the equibrilium point. The model exhibits two equilibrium

points, i.e. disease free and endemic equilibrium. The basic reproduction number and has

been obtained. The stability of the disease free and endemic equilibrium exists when the basic

reproduction number less or greater than unity, respectively. Analytical result shows that those

equilibrium points are locally asymptotically stable under certain condition. Based on simulation, it

has been shown that the disease free and endemic equilibrium are globally asymptotically stable if

the value of basic reproduction number and , respectively.

KEYWORDS: rotavirus, vaccination, basic reproduction number, saturation incidence rate, stability

0


Dynamical Analysis of Two Prey – One PredatorSystem with Competition Between Preys

DIAN SAVITRI1, AGUS SURYANTO2, WURYANSARI MUHARINI KUSUMAWINAHYU3, ABADI4

1, 2, 3Brawijaya University, Indonesia4Universitas Negeri Surabaya, Indonesia

Email: [email protected], [email protected], [email protected],[email protected]

ABSTRACTS

We study the dynamics of two preys – one predator interaction with competition between prey

populations. The proposed model is developed from the Lotka Volterra predator-prey model. First of

all, we discuss some fundamental issues such as equilibrium points and the stability of the

dynamics of equilibrium point. The analysis shows that there are seven equilibrium points and

some of them are conditionally locally asymptotically stable. We also analyze the effect of

competition between prey and the growth rate of predators on the proposed model numerically.

Some numerical results will be presented to illustrate the analytical findings. The result of

numerical continuity on one of the competition parameters β causes a change instability so that the

Hopf bifurcation occurs.

KEYWORDS: two prey-one predator model, competition between preys, local stability, Hopf-bifurcation

GFTA2019

22/24

Segmentation of Leaf Spots in Apple Plants UsingParticle Swarm Optimization and K-means Algorithm

SYAIFUL ANAM

Mathematics Department, Brawijaya University, Indonesia


ABSTRACTS

Leaf spot disease is one of the causes of a significant decrease in apple production. Early

detection of this disease will increase the quality and amount of apple production. Monitoring the

health of apple plants in larger area is traditionally a job that requires a lot of time and effort. The

use of drones to detect leaf spot disease is an alternative technology to monitor the health of apple

plants in large areas. The image of an apple leaf taken by a drone needs to be processed by

segmenting the apple leaves into the infected and the healthy leaves to detect apple leaf spot

disease. K-means clustering offers an algorithm that is simple, fast and works unsupervised to

segment images compared to level set algorithms. Random selection of cluster centers will cause

K-means to be trapped at the local optimum point and result in unsatisfactory image segmentation.

To solve this problem, Particle Swarm Optimization offers a good solution to optimization problems

to avoid convergence problems at the local optimum. Therefore, in this paper, we study how to

segment leaf spot disease on apple leaves by using the Particle Swarm Optimization and K-means

algorithm. The objective function of K-means algorithm optimized by Particle Swarm Optimization is

used for segmenting the leaf spot disease. The first step in this proposed method is to convert the

leaf image from RGB to CIE L * a * b format. The a component’s of L * a * b format are taken and

clustered using the Particle Swarm Optimization. The global best of the Particle Swarm Optimization

becomes an initial centroid of K-means algorithm. The experimental results show that the Particle

Swarm Optimization has a better performance than the K-means algorithm in segmenting leaf spot

disease.

KEYWORDS: segmentation, leaf spots, apple plants, Particle Swarm Optimization, K-meansalgorithm

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N O V E M B E R 4 - 6 , 2 0 1 9M A L A N G – I N D O N E S I A

GFTA2019

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Forewords · Our special gratitude to the Rector of Brawijaya University, Prof. Dr. Ir. Nuhfil Hanani, AR, MS for the valuable support to this conference. I also would like to take

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