Compatibility Analysis of Intuitionistic Fuzzy Preference Relations in Group Decision Making
Group Decision and NegotiationPublished 24 November 2011
Zeshui Xu
Citations44
SJR quartileQ1
SJR score0.64
SNIP0.90
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TL;DR
A compatibility measure between intuitionistic preference values and a compatibility measure for comparing intuitionistic fuzzy values are given, respectively, and it is shown that each individual intuitionists preference relation and the collective intuitionism preference relation is perfectly compatible.
Abstract
Abstract Compatibility analysis is an efficient and important tool used to measure the consensus of opinions within a given group of individuals. In this paper, we give a compatibility measure between intuitionistic preference values and a compatibility measure between intuitionistic preference relations, respectively, and study their properties. It is shown that each individual intuitionistic preference relation and the collective intuitionistic preference relation is perfectly compatible if and only if all the individual intuitionistic preference relations are perfectly compatible. Based on the compatibility measures, a consensus reaching procedure in group decision making with intuitionistic preference relations is developed, and a method for comparing intuitionistic fuzzy values is pointed out, by which the considered objects are ranked and selected. In addition, we extend the developed measures, procedure and method to accommodate group decision making situations with interval-valued intuitionistic preference relations. Numerical analysis on our results through an illustrative example is also carried out.
Keywords
Computer ScienceDecision Sciences
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