SIMILARITY MEASURES BETWEEN TYPE-2 FUZZY SETS

Wen‐Liang Hung · Miin‐Shen Yang

84 citations0/0 files storedInternational Journal of Uncertainty Fuzziness and Knowledge-Based Systems

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Fuzzy Logic and Control Systems

Abstract

In this paper, we give similarity measures between type-2 fuzzy sets and provide the axiom definition and properties of these measures. For practical use, we show how to compute the similarities between Gaussian type-2 fuzzy sets. Yang and Shih's [22] algorithm, a clustering method based on fuzzy relations by beginning with a similarity matrix, is applied to these Gaussian type-2 fuzzy sets by beginning with these similarities. The clustering results are reasonable consisting of a hierarchical tree according to different levels.

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1980Fuzzy Sets and Systems - Theory and Applications 1992Entropy, distance measure and similarity measure of fuzzy sets and their relations

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