Yager Index and Ranking for Interval Type-2 Fuzzy Numbers

Juan Carlos Figueroa–García, Yurilev Chalco-Cano, H. Román-Flores · IEEE Transactions on Fuzzy Systems · 2018

This paper presents a ranking method, two distances, and some definitions for ordering interval type-2 fuzzy numbers based on the Yager index for type-1 fuzzy numbers. The proposed Yager index provides closed equations for the central tendency of well-defined interval type-2 fuzzy numbers. Some numerical examples are given, a comparison to the centroid of an interval type-2 fuzzy number is performed, and some interpretation issues are discussed.

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