An analytical formula for similarity measure between interval type-2 fuzzy sets with Gaussian Primary membership function and uncertain standard deviation

摘要

Different similarity measures for type-2 fuzzy sets have been proposed in the literature. However, there are not analytical formulas for them. In this paper, an extension of Jaccard's similarity measure for type-2 fuzzy sets is considered and the generalized formula in analytical form for the similarity measure of two interval fuzzy sets with Gaussian Primary membership function is derived.