A dissimilarity measure based on Jensen Shannon divergence measure. Issue 3 (3rd April 2019)

• Record Type: Journal Article
• Authors: Joshi, Rajesh; Kumar, Satish
• Is Part Of: International journal of general systems. Volume 48:Issue 3(2019)
• Page Start: 280
• Page End: 301
• Publication Date: 2019-04-03
• Subjects: Intuitionistic fuzzy set -- divergence measure -- intuitionistic fuzzy dissimilarity measure -- MADM -- pattern recognition; 94A15 -- 94A24 -- 26D15; System theory -- Periodicals; 003
• DOI: 10.1080/03081079.2018.1552685
• Languages: English
• ISSNs: 0308-1079

Abstract

ABSTRACT: The need of suitable measures to find the distance between two probability distributions arises as they play an eminent role in problems based on discrimination and inferences. In this communication, we have introduced one such divergence measure based on well-known Shannon entropy and established its existence. In addition to this, a new dissimilarity measure for intuitionistic fuzzy sets corresponding to proposed divergence measure is also introduced and validated. Some major properties of the proposed dissimilarity measure are also discussed. Further, a new multiple attribute decision-making (MADM) method based on the proposed dissimilarity measure is introduced by using the concept of TOPSIS and is thoroughly explained with the help of an illustrated example on supplier selection problem. Finally, the application of proposed dissimilarity measure is given in pattern recognition and the performance is compared with some existing divergence measures in the literature.