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Volume 59 >>> № 3 MAY — JUNE 2023

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UDC 519.8

S.O. Mashchenko¹

¹ Taras Shevchenko National University of Kyiv, Kyiv, Ukraine

s.o.mashchenko@gmail.com

NON-DOMINATED ALTERNATIVES OF FUZZY SET OF EXPERTS

Abstract. The author analyzes a set of non-dominated alternatives in the problem of group decision-making by a fuzzy set of experts and shows that it is a type-2 fuzzy set (T2FS). The corresponding type-2 membership function is generated. The decomposition approach is used to analyze the T2FS of non-dominated alternatives. It is shown that the T2FS of non-dominated alternatives can be decomposed according to secondary membership grades into a finite collection of type-1 fuzzy sets, each being the set of non-dominated alternatives for a crisp set of experts, which is the corresponding α-cut of the original fuzzy set. Examples are given.

Keywords: decision making; fuzzy preference relation; type-2 fuzzy set.

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