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In the Name of God

IRANIAN JOURNAL OF FUZZY SYSTEMS

HONORARY CHAIRMAN L. A. Zadeh, University of California, Berkeley, USA EDITOR-IN-CHIEF M. Mashinchi, Shahid Bahonar University of Kerman, Kerman, Iran MANAGING EDITOR R. A. Borzooei, University of Sistan and Baluchistan, Zahedan, Iran EDITORIAL BOARD

N. R. Arghami, Mashhad, Iran J. Mordeson, Omaha, USA A. Daneshgar, Tehran, Iran M. K. Sen, Calcutta, India E. Eslami, Kerman, Iran A. Vahidian Kamyad, Mashhad, Iran S. Katebi, Shiraz, Iran J. L. Verdegay, Granada, Spain C. Lucas, Tehran, Iran R. Viertl, Wien, Austria R. Langari, Doha, Qatar M. M. Zahedi, Kerman, Iran A. Memariani, Hamedan, Iran

ADVISORY BOARD R. Aliev (Baku, Azerbaijan) Y. B. Jun (Chinju, South Korea) A. Ralescu (Cincinnati, USA)

M. Anvari (Berkeley, USA) L. Koczy (Budapest, Hungary) D. Ralescu (Cincinnati, USA) J. Buckley (Birmingham, USA) Y. -M. Liu (Chengdu, China) N. Sadati (Tehran, Iran) P. Corsini (Udine, Italy) M. Mukaidono (Kawasaki, Japan) E. Sanchez (Marseille, France) P. Diamond (Brisbane, Australia) N. R. Pal (Calcutta, India) A. Sostak (Riga, Latvia) D. Dubois (Toulouse, France) Z. Pawlak (Warsaw, Poland) M. Sugeno (Kyoto, Japan) S. -C. Fang (Raleigh, USA) I. Perfilieva (Ostrava, Czech) I. B. Turksen (Toronto, Canada) M. Jamshidi (Albuquerque, USA) H. Prade (Toulouse, France)

SUBSCRIPTION RATE 2006 Iranian Journal of Fuzzy Systems (IJFS) is published six-monthly by the University of Sistan and Baluchistan. Annual subscription rates 2006 (including packing and postage) are as follows: for university departments, libraries, industrial and other multiple-reader institutions in Iran 80,000 Rials, in other countries 30 EURO; for individuals in Iran 40,000 Rials, in other countries 20 EURO. Reprints of papers are available for 1500 Rials per copy in Iran and 2 EURO per copy elsewhere (Including packing and postage). For more information, please visit the website of the journal.

26/1/83مورخ 62/2910/3طي نامه شماره Iranian Journal of Fuzzy Systems (IJFS) مجله دريافت نمود. علمي ـ پژوهشيكميسيون نشريات علمي كشور درجه

Journal Address Iranian Journal of Fuzzy Systems University of Sistan and Baluchistan, P.O. Box 98135-987 Zahedan, Iran. Tel & Fax: +98-541-2431060 E-mail: [email protected] Homepage: http://www.usb.ac.ir/ijfs/

Volume 3 Number 2 October 2006

University of Sistan and Baluchistan, Zahedan, Iran.

CONTENTS A. Daneshgar and A. Hashemi 1 Fuzzy Sets from a Meta-system-theoretic Point of View V. Natarajan, P. Kanagasabapathy, N. Selvaganesan and R. Natarajan 21 Fuzzy Observer Design with n-shift Multiple Key for Cryptography Based on 3D Hyperchaotic Oscillator M. -R. Akbarzadeh-T. and R. Shahnazi 33 Direct Adaptive Fuzzy PI Sliding Mode Control of Systems with Unknown but Bounded Disturbances I. M. Hanafy, A. M. Abd El-Aziz and T. M. Salman 53 Semi θ - compactness in Intuitionistic Fuzzy Topological Spaces A. Borumand Saeid 63 Interval-valued Fuzzy B-algebras A. Jain 75 Fuzzy Subgroups and Certain Equivalence Relations

Iranian Journal of Fuzzy Systems Vol. 3, No. 2 (2006) 101

ACKNOWLEGMENT

It is obvious that the success of any journal lies heavily with the work done by the peer referees of submitted papers for publication. Such is certainly the case with the Iranian Journal of Fuzzy Systems. At this time, we would like to acknowledge these many referees by listing their names. We would like to thank these experts for the valuable time they have so generously devoted to IJFS.

S. Abbasbandy Islamic Azad University of Tehran, Tehran, Iran

S. C. Cheng Creighton University Omaha, USA

M. H. Fazel Zarandi Amirkabir University of Thechnology, Tehran, Iran

N. Ajmal Delhi University, New Delhi, India

Y. J. Cho Gyeongsang National University,Chinju, Korea

T. Funiokova Technical University of Ostrava, Ostrava, Czech Republic

M. -R. Akbarzadeh -T Ferdowsi University of Mashhad, Mashhad, Iran

G. Ciocca Università degli Studi di Milano-Bicocca, Milano, Italy

H. Gunawan Bandung Institute of Technology,Bandung, Indonesia

T. Allahviranloo Islamic Azad University of Tehran, Tehran, Iran

S. Coumaressane Annamalai University, Annamalainagar, India

I. M. Hanafy Suez Canal University, El-Arish, Egypt

R. Ameri Mazandaran University, Babolsar, Iran

A. Daneshgar Sharif University of Technology, Tehran, Iran

H. Harizavi University of Sistan and Baluchistan, Zahedan, Iran

S. -Z. Bai Wuyi University, Guangdong P. R. China

B. Davvaz Yazd University, Yazd, Iran

A. Hasankhani Shahid Bahonar University of Kerman, Kerman, Iran

A. Borumand Saeid Islamic Azad University of Kerman, Kerman, Iran

W. Dudek Technical University of Wrocław,Poland

F. Hernandes Universidade Estadual do Centro- Oeste,Campinas-SP, Brazil

R. A. Borzooei University of Sistan and Baluchistan, Zahedan, Iran

H. Eghbali Shiraz University, Shiraz, Iran

S. N. Hoseini Shahid Bahonar University of Kerman, Kerman, Iran

J. Buckley University of Alabama at Birmingham, USA

E. Eslami Shahid Bahonar University of Kerman, Kerman, Iran

H. Ishibuchi Osaka Prefecture University, Sakai, Osaka, Japan

J. M. Cadenas Figueredo Universidad de Murcia,Murcia, Spain

J. -X. Fang Nanjing Normal University, Nanjing, P. R. China

K. Iwamura Josai University, Sakado, Saitama, Japan

102 Iranian Journal of Fuzzy Systems Vol. 3, No. 2 (2006)

A. Jain Shivaji College, University of Delhi, New Delhi, India.

F. -T. Lin Chinese Culture University, Taipei, Taiwan

F. Nemat Shahid Bahonar University of Kerman, Kerman, Iran

K. Jamshidi Sharif University of Technology, Tehran, Iran

N. Mahdavi Amiri Sharif University of Technology, Tehran, Iran

A. Ohsato Nagaoka University of Technology, Nagaoka, Niigata, Japan

Y. B. Jun Gyeongsang National University,Chinju, South Korea

M. Mahmoudi Shahid Beheshti University, Tehran, Iran

W. Pedrycz University of Alberta, Edmonton, Canada

E. Kabir Tarbiat Modarres University, Tehran, Iran

H. R. Maleki Shiraz University of Technology, Shiraz, Iran

I. Perfilieva University of Ostrava, Ostrava, Czech Republic

O. Kaleva Tampere University of Technology, Tampere, Finland

D. S. Malik Creighton University, Omaha,USA

A. B. Rad Hong Kong Polytechnic University, Kowloon, Hong Kong

S. Kasaei Sharif University of Technology, Tehran, Iran

M. Mashinchi Shahid Bahonar University of Kerman, Kerman, Iran

S. Ramezanzadeh Police University, Tehran, Iran.

A. K. Katsaras University of Ioannina, Ioannina, Greece

H. Mishmast Nehi University of Sistan and Baluchistan, Zahedan,Iran

M. Rashidinejad Shahid Bahonar University of Kerman, Kerman, Iran

F. C. Kennedy Stella Maris College, Chennai, India

H. Mohebi Shahid Bahonar University of Kerman, Kerman, Iran

H. Ravanbod Sharif University of Technology, Tehran, Iran

K. H. Kim Chungju National University, Chungju, Korea

M. Mohseni Moghadam Shahid Bahonar University of Kerman, Kerman, Iran

R. Saadati Institute for Studies in Applied Mathematics, Amol, Iran

A. Koç Istanbul Kultur University, Istanbul, Turkey

J. Mordeson Creighton University, Omaha,USA

M. R. Safi Shahid Bahonar University of Kerman, Kerman, Iran

R. Langari Texas A&M University at Qatar, Doha, Qatar

V. Murali Rhodes University, Grahamstown, South Africa

A. Salemi Parizi Shahid Bahonar University of Kerman, Kerman, Iran

V. Leoreanu Al. I. Cuza University, Iasi, Romania

J. Neggers The University of Alabama, Tuscaloosa, Alabama

S. Sharma Vikram University, Ujjain, India


F. -G. Shi Beijing Institute of Technology, Beijing, P. R. China

M. Teshnehlab K.N. Toosi University of Technology, Tehran, Iran

Y. -K. Wong Hong Kong Polytechnic University, Kowloon,Hong Kong

A. Sostak University of Latvia, Riga, Latvia

J. L. Verdegay Universidad de Granada, Granada, Spain

M. A. Yaghoobi Shahid Bahonar University of Kerman, Kerman, Iran

S. M. Taheri Isfahan University of Technology, Isfahan, Iran

R. Viertl Technische Universitaet Wien, Wien, Austria

D. Zhang Sichuan University, Chengdu, China

104 Iranian Journal of Fuzzy Systems Vol. 3, No. 2 (2006)

EXCHANGE AGREEMENTS

Archivum Mathematicum Masaryk University, Brno, Czech Republic

Balkan Journal of Geometry and its Applications Balkan Society of Geometers, Bucharest, Romania

Bulletin of the Iranain Mathematical Society University of Tehran, Tehran, Iran

Bulletin of the Korean Mathematical Society The Korean Mathematical Society, Seoul, Korea

Bulletin of the Malaysian Mathematical Sciences Society Universiti Sains Malaysia,Penang, Malaysia

Czechoslovak Mathematical Journal Mathematical Institute, AS CR, Czech Republic

Demonstratio Mathematica Warsawa University of Technology, Warsawa, Poland

Glasnik Matematicki University of Zagreb, Zagreb, Croatia

Houston Journal of Mathematics University of Houston, Houston, Texas

International Journal of Applied Mathematics and Computer Science University of Zielona Góra, Zielona Góra, Poland

Iranian Polymer Journal Iran Polymer and Petrochemical Institute, Tehran, Iran

Italian Journal of Pure and Applied Mathematica Via delle Scienze,Udine,Italy

Journal of Applied Mathematics and Computing Sunmoon University, Asan, South Korea

Journal of Mathematics of Kyoto University Kyoto University, Kyoto, Japan

Journal of the Egyptian Mathematical Society Egyptian Mathematical Society, Cairo, Egypt

Journal of the Korean Mathematical Society The Korean Mathematical Society , Seoul, Korea

Nihonkal Mathematical Journal Niigata University, Niigata, Japan


Mathematica Bohemica Mathematical Institute, Academy of Sciences of the Czech Republic

Mathematica Slovaca Slovak Academy of Sciences, Bratislava, Slovakia

Note di Matematica Universita' Via per Arnesano, Lecce, Italy

Novi Sad Journal of Mathematics Institute of Mathematics, Novi Sad, Yugoslavia

Quasigroups and Related Systems Institute of Mathematics, Technical University, Wroclaw, Poland

Saitama Mathematical Journal Saitama University, Saitama, Japan

Soochow Journal of Mathematics Soochow University, Taipei, Taiwan

Southeast Asian Bulletin of Mathematics University of Hong Kong, Hong Kong, China

Yokohama Mathematical Journal Yokohama City University &Yokohama National University, Yokohama, Japan

IRANIAN JOURNAL OF FUZZY SYSTEMS

Aims and Scope

The six-monthly Iranian Journal of Fuzzy Systems (IJFS) aims to provide an international forum for refereed original research works in the theory and applications of fuzzy sets and systems in the areas of foundations, pure mathematics, artificial intelligence, control, robotics, data analysis, data mining, decision making, finance and management, information systems, operations research, pattern recognition and image processing, soft computing and uncertainty modeling. Manuscripts submitted to the IJFS must be original unpublished work and should not be in consideration for publication elsewhere.

Instructions to Authors The language of the journal is English. Manuscripts should be typed according to the style given in the journal homepage: http://www.usb.ac.ir/ijfs/ Submission of Manuscripts Manuscripts submitted for publication should be sent electronically to [email protected] in .pdf or .doc format. Proofs and Reprints Page proofs will be sent to the corresponding author to be checked for type setting and editing. There are no page charges and authors will receive 15 complimentary copies. Proposing Special Issue If you are interested in proposing a special issue, please contact the editor-in-chief at:

[email protected] or [email protected] The journal is indexed and abstracted in:

Mathematical Reviews Zentralblatt MATH

Journal Address Iranian Journal of Fuzzy Systems University of Sistan and Baluchistan, P.O. Box 98135-987 Zahedan, Iran. Tel & Fax: +98-541-2431060 E-mail: [email protected] Homepage: http://www.usb.ac.ir/ijfs/ ISSN: 1735-0654

Published by the University of Sistan and Baluchistan and approved by the Ministry of Science, Research and Technology of Iran and the Iranian Fuzzy Systems Society.

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