Several Similarity Measures of Neutrosophic Sets | Zendy

Said Broumi | Zendy; Florentín Smarandache | Zendy

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Several 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

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