Open AccessSeveral Similarity Measures of Neutrosophic Sets
Author(s) -
Said Broumi,
Florentín Smarandache
Publication year - 2013
Publication title -
zenodo (cern european organization for nuclear research)
Language(s) - English
DOI - 10.5281/zenodo.571755
Subject(s) - similarity (geometry) , artificial intelligence , mathematics , computer science , image (mathematics)
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