New similarity measures between intuitionistic fuzzy sets and between elements

Authors:
Hua-Wen Liu
Affiliations:
-
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2005

Citing 10
Cited 7

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Vague sets are intuitionistic fuzzy sets

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New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions

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A note on similarity measures between vague sets and between elements

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Abstract

Li and Cheng ^[^1^] and Hong and Kim ^[^2^] proposed several similarity measures between intuitionistic fuzzy sets and between vague sets, respectively. In this paper, by analyzing these similarity measures, we show that they are not reasonable in some cases. Some new methods for measuring the degree of similarity between intuitionistic fuzzy sets and between elements are proposed and their properties are discussed. These new methods turned out to be more reasonable by comparison. Finally, we use the same examples given by Li and Cheng ^[^1^] to show the application of the new measure methods in pattern recognition.