New Similarity Measure of Fuzzy Sets based on Relative Sigma Count

Hassan Rezaei; Masao Mukaidono

doi:10.14864/softscis.2006.0.303.0

SCIS & ISIS 2006

Session ID : TH-C3-3

DOI https://doi.org/10.14864/softscis.2006.0.303.0

Conference information

Host: Japan SOciety for Fuzzy Theory and intelligent informatics

Co-host: The Korea Fuzzy Logic and Intelligent Systems Society, IEEE Computational Intelligence Society, The International Fuzzy Systems Association, 21th Century COE Program "Creation of Agent-Based Social Systems Sciences"

TH-C3 Mathematics and Theory (1)

New Similarity Measure of Fuzzy Sets based on Relative Sigma Count

*Hassan Rezaei, Masao Mukaidono

Author information

Keywords: Fuzzy sets, Similarity measure, Relative sigma count

CONFERENCE PROCEEDINGS FREE ACCESS

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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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