Several Similarity Measures of Neutrosophic Sets

Abstract

Smarandache (1995) defined the notion of
neutrosophic sets, which is a generalization of Zadeh's
fuzzy set and Atanassov's intuitionistic fuzzy set. In this
paper, we first develop some similarity measures of
neutrosophic sets. We will present a method to calculate
the distance between neutrosophic sets (NS) on the basis
of the Hausdorff distance. Then we will use this distance
to generate a new similarity measure to calculate the
degree of similarity between NS. Finally we will prove
some properties of the proposed similarity measures.