Cosine Similarity Measure Of Interval Valued Neutrosophic Sets

Said Broumi · Florentín Smarandache

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Fuzzy and Soft Set Theory Multi-Criteria Decision Making Advanced Mathematical Theories

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.

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References

1996Fuzzy sets 1986Intuitionistic fuzzy sets 2019Interval-Valued Intuitionistic Fuzzy Sets 1993Vague sets 2010Cosine similarity measures for intuitionistic fuzzy sets and their applications 2013Multicriteria decision-making method using the correlation coefficient under single-valued neutrosophic environment 2005Interval Neutrosophic Sets and Logic: Theory and Applications in Computing 2014Similarity measures between interval neutrosophic sets and their applications in multicriteria decision-making

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2014Neutrosophic Refined Similarity Measure Based On Cosine Function

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