Cosine Similarity Measure Of Interval Valued Neutrosophic Sets

A new cosine similari- ty between two interval valued neutrosophic sets based on Bhattacharya's distance is defined and it is found that the proposed similarity measure is better and more robust.

Abstract

In this paper, we define a new cosine similarity between two interval valued neutrosophic sets based on Bhattacharya’s distance [19]. The notions of interval valued neutrosophic sets (IVNS, for short) will be used as vector representations in 3D-vector space. Based on the comparative analysis of the existing similarity measures for IVNS, we find that our proposed similarity measure is better and more robust. An illustrative example of the pattern recognition shows that the proposed method is simple and effective.