Fuzzy multi-criteria decision making on combining fuzzy analytic hierarchy process with representative utility functions under fuzzy environment
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In 1980, Saaty proposed the analytic hierarchy process (AHP) to evaluate alternatives with multi-criteria being multi-criteria decision making. Then, numerous approaches engaged on extension of AHP under fuzzy environment named fuzzy analytic hierarchy process (FAHP) for evaluation of multi-criteria alternatives under fuzzy environment being fuzzy multi-criteria decision making (FMCDM). In the current approaches, the extent analysis method proposed by Chang in 1996 was a famous FAHP method for FMCDM. However, computing priorities in matrix by Chang’s method is difficult for comparing pairwise fuzzy numbers, and calculating possibility degrees has drawback for some special fuzzy numbers. To resolve above ties, we combine FAHP with representative utility functions under fuzzy environment. Through combination of FAHP and representative utility functions to FMCDM, our method easily and quickly solves FMCDM problems.
KeywordsFuzzy analytic hierarchy process (FAHP) Fuzzy numbers Pairwise comparison matrix Priorities Representative utility functions
This research work was partially supported by the National Science Council of the Republic of China under Grant No. NSC 101-2410-H-346-001-.
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The author declares that there is no conflict of interest.
This article does not contain any studies with human participants or animals performed by any of the authors.
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- Chen SH, Hsieh CH (1999) Graded mean integration representation of generalized fuzzy number. J Chin Fuzzy Syst Assoc 5:1–7Google Scholar
- Lee HS (2005) A fuzzy multi-criteria decision making model for the selection of the distribution center. Lect Notes Artif Intell 3612:1290–1299Google Scholar
- Saaty TL, Vargas LG (1982) Assessing attribute weights by ratios. Omega 11:9–13Google Scholar
- Wang YJ, Fang CL, Han TC, Chou MT (2015) Applying utility representative function for fuzzy analytic hierarchy process. In: The 11th international conference on fuzzy systems and knowledge discovery (FSKD’15), Zhangjiajie, China, pp 496–500Google Scholar