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Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations

✍ Scribed by Wenyi Zeng; Hongxing Li

Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
130 KB
Volume
21
Category
Article
ISSN
0884-8173

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The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusion measures, similarity measures, and the fuzziness of fuzzy sets, prove eight theorems that inclusion measures,

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In this paper, we first review several popular similarity measures between fuzzy sets and then extend those similarity measures to intuitionistic fuzzy sets. We also propose two new similarity measures between intuitionistic fuzzy sets. These similarity measures have been found to satisfy some simil

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The concept of entropy of interval-valued intuitionistic fuzzy set (IvIFS) is Þrst introduced. The close relationships between entropy and the similarity measure of interval-valued intuitionistic fuzzy sets are discussed in detail. We also obtain some important theorems by which entropy and similari

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