New Similarity Measure Between Two Fuzzy Sets-Reference-Cited by-同舟云学术

New Similarity Measure Between Two Fuzzy Sets

Published:2006-11-20 Issue:6 Volume:10 Page:946-953
ISSN:1883-8014
Container-title:Journal of Advanced Computational Intelligence and Intelligent Informatics
language:en
Short-container-title:JACIII

Author:

Rezaei Hassan, ,Emoto Masashi,Mukaidono Masao

Abstract

We propose a new similarity measure between two fuzzy sets based on their relative sigma count and extend it to define two other measures, one a similarity measure between elements in fuzzy sets and the second a similarity measure between fuzzy sets in which all elements in the universe of discourse are weighted. We compare our proposal to several previous measures proposed in [1-6].

Publisher

Fuji Technology Press Ltd.

Subject

Artificial Intelligence,Computer Vision and Pattern Recognition,Human-Computer Interaction

Reference12 articles.

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3. S. M. Chen, M. S. Yeh, and P. Y. Hsiao, “A Comparison of Similarity Measures of Fuzzy Values,” Fuzzy Sets and Systems 72, pp. 79-89, 1995.

4. W. J. Wang, “New Similarity Measures on Fuzzy Sets and on Elements,” Fuzzy Sets and Systems 85, pp. 305-309, 1997.

5. R. Zwick, E. Carlstein, and D. Budescu, “Measures of Similarity Among Fuzzy Sets: A Comparative Analysis,” Int. J. Approximate Reasoning 1, pp. 221-242, 1987.

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