T-Spherical Fuzzy Graphs: Operations and Applications in Various Selection Processes

Abstract

The notion of T -spherical fuzzy set is the most recent generalization of intuitionistic fuzzy set available in the literature having the capability to handle the uncertainty, fuzziness and vagueness found in human sense in terms of the four parameters: membership (yes), neutral (abstain), non-membership (no) and refusal (non-participation). In the present communication, the concept of T -spherical fuzzy graph has been introduced along with the operations of product, composition, union, join and complement. Further, two algorithms utilizing the notion of T -spherical fuzzy graphs have been presented for solving the decision-making problems in the field of supply chain management and evaluation problem of service centers. In order to illustrate the actual implementation of the proposed algorithms, numerical examples have also been provided. For the sake of the novelty of the proposed approach, comparison and advantages in contrast with the methodologies of intuitionistic fuzzy set and Pythagorean fuzzy set have also been discussed.