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A novel similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers with applications to pattern recognition and medical diagnosis

  • J DhivyaEmail author
  • B Sridevi
Article

Abstract

Similarity measure is an essential tool to compare and determine the degree of similarity between intuitionistic fuzzy sets (IFSs). In this paper, a new similarity measure between intuitionistic fuzzy sets based on the mid points of transformed triangular fuzzy numbers is proposed. The proposed similarity measure provides reasonable results not only for the sets available in the literature but also gives very reasonable results, especially for fuzzy sets as well as for most intuitionistic fuzzy sets. To provide supportive evidence, the proposed similarity measure is tested on certain sets available in literature and is also applied to pattern recognition and medical diagnosis problems. It is observed that the proposed similarity measure provides a very intuitive quantification.

Keywords

Fuzzy sets (FSs) Intuitionistic fuzzy sets (IFSs) Most intuitionistic fuzzy sets (MIFSs) Similarity measure (SM) Transformed triangular fuzzy numbers (TTFNs) 

MR Subject Classification

35B35 65L15 60G40 

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Copyright information

© Editorial Committee of Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of MathematicsKumaraguru College of TechnologyCoimbatoreIndia
  2. 2.Department of MathematicsPSG College of TechnologyCoimbatoreIndia

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