Title: Application of a new entropy measure for Pythagorean intuitionistic fuzzy sets

Authors: Taruna; H.D. Arora; Pratiksha Tiwari

Addresses: Department of Mathematics, AIAS, Amity University Uttar Pradesh, Noida – 201313, UP, India ' Department of Mathematics, AIAS, Amity University Uttar Pradesh, Noida – 201313, UP, India ' Delhi Institute of Advanced Studies, Plot No. 6, Sector-25, Rohini, Delhi – 110085, India

Abstract: The Pythagorean fuzzy set (PFS) is an effective tool for depicting uncertainty in multi-criteria decision-making problems. In this paper, we explained the concept of probability for characterising the fuzzy entropy of PFSs as an extension of the fuzzy entropy of intuitionistic fuzzy sets (IFSs). When contrasted with some past measures, the new proposed measure is simple, closer to the factual significance and it reflects better fuzzy properties. New generalised parametric measures of exponential entropy on IFSs are characterised. Further, fundamental properties are demonstrated. Through dissecting the consequences of the model, it has been demonstrated that this technique is progressively dependable and increasingly effective in handy applications for introducing the level of fuzziness of an IFS. A numerical example is given to validate the method and compare its performance with the existing IFS entropy measures.

Keywords: fuzzy entropy; IFSs; intuitionistic fuzzy sets; PFSs; Pythagorean fuzzy sets; linguistic variables; multi-criteria decision making.

DOI: 10.1504/IJCSM.2022.127796

International Journal of Computing Science and Mathematics, 2022 Vol.16 No.2, pp.97 - 111

Received: 02 Jun 2020
Accepted: 06 Jul 2020
Published online: 19 Dec 2022 *

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