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Extension of extent analysis method in intuitionistic fuzzy environment. (English) Zbl 1400.91126

Summary: Analytic hierarchy process is one of the most important multiple criteria decision making methods. Extent analysis method was proposed for evaluating fuzzy pairwise comparison decision matrices resulting in crisp priority vectors. In this paper, the triangular intuitionistic fuzzy degree of possibility for comparing two or more triangular intuitionistic fuzzy numbers is defined and some related propositions are introduced resulting in intuitionistic fuzzy numbers as weights of criteria or performance scores of alternatives. A conversion scale for linguistic variables based on triangular intuitionistic fuzzy numbers is proposed and a new function is defined for ranking the intuitionistic fuzzy numbers. Finally, the extent analysis method is extended in intuitionistic fuzzy environment which is illustrated by an example.

MSC:

91B06 Decision theory
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