Correlation coefficients for T-spherical fuzzy sets and their applications in pattern analysis and multi-attribute decision-making

Abstract

T-spherical fuzzy set is an effective tool to deal with vagueness and uncertainty in real-life problems, especially in a situation when there are more than two circumstances, like in casting a ballot. The correlation coefficient of T-spherical fuzzy sets is a tool to calculate the association of two T-spherical fuzzy sets. It has several applications in various disciplines like science, management, and engineering. The noticeable applications incorporate pattern analysis, decision-making, medical diagnosis, and clustering. The aim of this article is to introduce some correlation coefficients for T-spherical fuzzy sets with their applications in pattern recognition and decision-making. The under discussion correlation coefficients are far more advantageous than the existing and many other tools used for T-spherical fuzzy sets, because they are used completely and demonstrate the nature as well as the limit of association between two T-spherical fuzzy sets. Further, an application of proposed correlation coefficients in pattern analysis is discussed here. In addition to it, the proposed correlation coefficients are applied to a multi-attribute decision-making problem, in which the selection of a suitable COVID-19 mask is presented. A comparative analysis has also been made to check the effectiveness of the proposed work with the existing correlation coefficients.

Stepping Up: Education Department Installs Biometric System to Ensure Based on Complex T-Spherical Hesitant Fuzzy Aczel-Alsina Aggregation Operators

“…But in many cases the theory of PFS has been neglected because of their limitation, therefore, the theory of spherical fuzzy set (SFS) and T-spherical fuzzy set (TSFS) was invented by Mahmoud et al [7], which is a powerful concept with four membership functions i.e., membership, non-membership, refusal, and abstinence degree that can be deal with uncertain information as compared to existing FSs. Some applications of FS and their extensions are stated as follows, for instance, aggregation operators [8,9], similarity measures [10,11], decision-making techniques [12,13], and different types of techniques [14,15]. Complex FSs (CFSs) are generalized forms of classical fuzzy sets.…”

An efficient spherical fuzzy MEREC–CoCoSo approach based on novel score function and aggregation operators for group decision making

“…The proposed SFS theory provides an effective decision paradigm for solving complex uncertainty decision problems and receive multitude concerns by scholars and researchers. For instance, (Saad and Rafiq 2022 ) propounded some correlation coefficients for generalized SFS and used it to resolve the pattern analysis and decision problems. Qiyas et al ( 2022 ) presented several novel spherical fuzzy trigonometric operators and constructed a novel MAGDM strategy for the selection of an authentic COVID-19 laboratory.…”