Title: Fermatean fuzzy similarity measure algorithm and its application in students' admission process

Authors: Paul Augustine Ejegwa; Idoko Charles Onyeke

Addresses: Department of Mathematics/Statistics/Computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria ' Department of Mathematics/Statistics/Computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

Abstract: Fermatean fuzzy set is a special extensional fuzzy set which generalises both intuitionistic fuzzy set and Pythagorean fuzzy set by expanding the spatial scope of Pythagorean fuzzy sets and intuitionistic fuzzy sets. Similarity measure is an integral aspect of utilising generalised fuzzy sets in soft computing. In this paper, a novel similarity measure between Fermatean fuzzy sets is introduced with a better and reliable output compare to the dual of the existing Fermatean fuzzy distance measure. Some properties of the new similarity measure are characterised. It is demonstrated that the new similarity measure between Fermatean fuzzy sets is more reliable than the dual of the existing Fermatean fuzzy distance measure. In terms of application, the new Fermatean fuzzy similarity measure is utilised in executing students' admission process using an algorithmic approach implemented by a programming language to enhance accuracy and ease of computations.

Keywords: student admission; similarity measure; intuitionistic fuzzy set; Pythagorean fuzzy set; Fermatean fuzzy set.

DOI: 10.1504/IJFCM.2022.124368

International Journal of Fuzzy Computation and Modelling, 2022 Vol.4 No.1, pp.34 - 50

Received: 25 Jan 2021
Accepted: 27 Mar 2021
Published online: 25 Jul 2022 *

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