Paper:
Language: English:

New Similarity Measure Between Two Fuzzy Sets

Hassan Rezaei, Masashi Emoto, and Masao Mukaidono

Department of Computer Science, Meiji University, 1-1-1 Higashi-Mita, Tama-ku, Kawasaki-shi 214-8571, Japan

Received: January 18, 2006

Accepted: April 2, 2006

Keywords: fuzzy sets, similarity measure, relative sigma count, proximity relation

Journal ref: Journal of Advanced Computational Intelligence and Intelligent Informatics, Vol.10, No.6 pp. 946-953, 2006

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].

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