New similarity measures between interval-valued fuzzy sets

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.

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