Similarity measures for Fermatean fuzzy sets and its applications in group decision-making

Autor: Laxminarayan Sahoo
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Decision Science Letters, Vol 11, Iss 2, Pp 167-180 (2022)
Druh dokumentu: article
ISSN: 1929-5804
1929-5812
DOI: 10.5267/j.dsl.2021.11.003
Popis: The intention of this paper is to propose some similarity measures between Fermatean fuzzy sets (FFSs). Firstly, we propose some score based similarity measures for finding similarity measures of FFSs and also propose score based cosine similarity measures between FFSs. Furthermore, we introduce three newly scored functions for effective uses of Fermatean fuzzy sets and discuss some relevant properties of cosine similarity measure. Fermatean fuzzy sets introduced by Senapati and Yager can manipulate uncertain information more easily in the process of multi-criteria decision making (MCDM) and group decision making. Here, we investigate score based similarity measures of Fermatean fuzzy sets and scout the uses of FFSs in pattern recognition. Based on different types of similarity measures a pattern recognition problem viz. personnel appointment is presented to describe the use of FFSs and its similarity measure as well as scores. The counterfeit results show that the proposed method is more malleable than the existing method(s). Finally, concluding remarks and the scope of future research of the proposed approach are given.
Databáze: Directory of Open Access Journals