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3 30 5
AHP
TOPSIS VIKOR
TOPSIS for Junior High School Math
Textbooks Selection Ranking
Chung Hua University
Hsing Wu University
Abstract
TOPSIS and VIKOR were used to make a multi-criteria decision
on selecting math textbooks in a junior high school. After
reviewing
literature and interviewing experts, four dimensions and
eleven
criteria were set. There were thirty senior math teachers in junior
high
schools were asked expert questionnaires. In addition, five
popular
math textbooks were selected be evaluated. The ranking results
from
the TOPSIS and VIKOR were compared and analyzed.
Keywords: Math Textbook, AHP, TOPSIS, VIKOR.
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VIKOR VlseKriterijumska Optimizacija I Kompromisno
Resenje 1998 Opricovic TOPSIS (Technique for Order Preference
by
Similarity to Ideal Solution) VIKOR
TOPSISMCDM (Compromise)
(Positive Ideal Solution) (Negative Ideal
Solution)
2005
TOPSIS
(Individual Regret)
2011)
TOPSIS VIKOR
11 2
A2.
EXCELSPSSSAS
R R
R pmr
11
3
(0.1805)
(1)
()
A x x x
A x x x
1C 2C
(2)
ijr 1,2, ,i m 1,2, ,j n
() A A
(3)
(4)
{ 1,2,....., |j j n j } ' { 1,2,....., |j j n j
}
A r r r
A r r r
1 1max | min | ' | 1,2,....., ( , ,..., ,..., )ij ij j n ii
A v j J v j J i m v v v v
1 1min | max | ' | 1,2,....., ( , ,..., ,..., )ij ij j n i i
A v j J v j J i m v v v v
2
1
VIKOR
2
1
ij
*
F c F
* F c
c Δ F
I1 I2
fi *fi
-
-
-
- - - -
(12)
Qj j
Qj (Qj )
1. 1
7-18
13135-168
(Agriculture and Economics)3469-90
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2014
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11. 1989
79-103
14. 1989()
27(6)5-27
313-11
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