Fuzzy entropy with order and degree for intuitionistic fuzzy set

Dass, Bhagwan; Tomar, Vijay Prakash; Kumar, Krishan

doi:10.1063/1.5122619

Cited by 2 publications

(1 citation statement)

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“…Therefore, more similarity measures can be derived from distance measures and vice versa. Furthermore, the numerous authors (Arora & Tomar, 2020;Dass et al, 2019;Tomar, 2019;Tomar & Ohlan, 2014) have developed the entropy and discrimination measures related to FSs and IFSs. Initially, IFSs distance measures were conceptualised by Szmidt & Kacprzyk (2000).…”

Section: Introductionmentioning

confidence: 99%

Intuitionistic Fuzzy Modulus Similarity Measure

Gora

Tomar

2022

International Journal of Decision Support System Technology

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The concept of intuitionistic fuzzy sets (IFSs) is an expected explanation for finding the appropriate information. It originated from concept of fuzzy set (FS) theory, which extends the classical conception of a fuzzy set. This paper examines a number of widely employed similarity measures then proposes an IFSs modulus similarity measure and a weight similarity measure. Initially, the authors have discussed numerous existing similarity measures, some of which are unable to justify the axioms of being a similarity measure. Furthermore, some numerical examples are presented to compare the existing similarity measures with the proposed similarity measure. The proposed similarity measure is a practical and effective method for determining the qualitative similarity between IFSs, which do not have any paradoxical nature. In addition, the proposed similarity measure has been demonstrated practically in pattern recognition and medical diagnosis problem. Suggestions for future research comprise the conclusions of the paper.

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