Paper Info
Title
On the extent analysis method for fuzzy AHP and its applications
Abstract
In a paper by Chang [D.Y. Chang, Applications of the extent analysis method on fuzzy AHP, European Journal of Operational Research 95 (1996) 649–655], an extent analysis method on fuzzy AHP was proposed to obtain a crisp priority vector from a triangular fuzzy comparison matrix. It is found that the extent analysis method cannot estimate the true weights from a fuzzy comparison matrix and has led to quite a number of misapplications in the literature. In this paper, we show by examples that the priority vectors determined by the extent analysis method do not represent the relative importance of decision criteria or alternatives and that the misapplication of the extent analysis method to fuzzy AHP problems may lead to a wrong decision to be made and some useful decision information such as decision criteria and fuzzy comparison matrices not to be considered. We show these problems to avoid any possible misapplications in the future.
Year
DOI
Venue
2008
10.1016/j.ejor.2007.01.050
European Journal of Operational Research
Keywords
Field
DocType
Analytic hierarchy process,Multiple criteria decision analysis,Fuzzy comparison matrix,Extent analysis
Data mining,Mathematical optimization,Multiple-criteria decision analysis,Defuzzification,Matrix (mathematics),Fuzzy set operations,Fuzzy logic,Decision support system,Analytic hierarchy process,Mathematics,Group decision-making
Journal
Volume
Issue
ISSN
186
2
0377-2217
Citations 
PageRank 
References 
69
3.03
16
Authors
3
Name
Order
Citations
PageRank
Ying-Ming Wang13256166.96
Ying Luo246720.48
Zhongsheng Hua374055.13