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

• Published in: Scientia Iranica. Transaction E, Industrial engineering Vol. 28; no. 2; pp. 1014 - 1029
• Main Authors: Guleria, A, Bajaj, RK
• Format: Journal Article
• Language: English
• Published: Tehran Sharif University of Technology 01.03.2021
• Subjects: Agglomeration; Algorithms; Decision making; Fuzzy sets; Information theory; Mathematical functions; Motivation; Operators (mathematics)
• DOI: 10.24200/sci.2019.53027.3018

In the present manuscript, a novel concept of T-spherical fuzzy soft set is introduced with various important operations and properties. In the field 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 defined 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.