T -spherical fuzzy soft sets and its aggregation operators with application in decision-making

Abstract

In the present manuscript, a novel concept of T-spherical fuzzy soft set is introduced with various important operations and properties. In the eld of information theory, an aggregation operator is a structured mathematical function that aggregates all the information received as input and provides a single output entity, found to be applicable for various important decision-making cases. Some averaging aggregation operators and geometric aggregation operators (weighted, ordered, and hybrid) for T-spherical fuzzy soft numbers have been proposed with their various properties. Further, utilizing the proposed aggregation operators of various types along with the properly de ned score function/accuracy function, an algorithm for solving a decision-making problem has been provided. The proposed methodology has also been well illustrated through a numerical example. Some comparative remarks and advantages of the introduced notion of Tspherical fuzzy soft set and the proposed methodology have been listed to ensure better motivation and readability.