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Intuitionistic preference relations and their application in group decision making. (English) Zbl 1286.91043

Summary: Intuitionistic fuzzy set, characterized by a membership function and a non-membership function, was introduced by K. T. Atanassov [Fuzzy Sets Syst. 20, 87–96 (1986; Zbl 0631.03040)]. In this paper, we define the concepts of intuitionistic preference relation, consistent intuitionistic preference relation, incomplete intuitionistic preference relation and acceptable intuitionistic preference relation, and study their various properties. We develop an approach to group decision making based on intuitionistic preference relations and an approach to group decision making based on incomplete intuitionistic preference relations respectively, in which the intuitionistic fuzzy arithmetic averaging operator and intuitionistic fuzzy weighted arithmetic averaging operator are used to aggregate intuitionistic preference information, and the score function and accuracy function are applied to the ranking and selection of alternatives. Finally, a practical example is provided to illustrate the developed approaches.

MSC:

91B06 Decision theory
91B10 Group preferences
03E72 Theory of fuzzy sets, etc.

Citations:

Zbl 0631.03040
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References:

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