New similarity measures between interval-valued fuzzy sets

Authors:
Chao-Ming Hwanga;Miin-Shen Yang
Affiliations:
Department of Applied Mathematics, Chinese Culture University, Taipei, Taiwan;Department of Applied Mathematics, Chung Yung Christian University, Chung-Li, Taiwan
Venue:
Proceedings of the 15th WSEAS international conference on Systems
Year:
2011

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Abstract

Interval-valued fuzzy set (IVFS) is an extension of fuzzy set in which it presents a fuzzy set with an interval-valued membership. A similarity measure is a useful tool for determining the similarity degree between two objects. It is also an important measure for fuzzy concepts. In this paper, we propose a new similarity measure between IVFSs. Some properties of this similarity measure are also made. We make numerical comparisons of the proposed similarity measure with some existing measures. These comparison results show the superiority of our proposed similarity measure.