Algorithm to Solve Spherical Fuzzy Optimization Problems with Applications

Authors

  • Sudhir Kumar Dr. Shyama Prasad Mukherjee University Jharkhand, Ranchi, India
  • Anita Kumari Dr. Shyama Prasad Mukherjee University Jharkhand, Ranchi, India

DOI:

https://doi.org/10.24203/8me95f14

Keywords:

TORA, SFAP, SFTP

Abstract

In operation research, a specific area being analysed in great depth is the optimization problem. The primary objective of this issue is to determine the most economical costs for commodities in order to satisfy customer requirements at various destinations, while taking into account the resources available at their points of origin or deals with assigning tasks to locations. In this paper, the spherical fuzzy optimization problem (SFOP) determines the optimal cost of carrying items from origin to destination (or job to machine). While reliable data is frequently employed, these variables are actually ambiguous and inaccurate. Many generalizations and expansions of fuzzy sets have been proposed and investigated in the literature. The spherical fuzzy set (SFS) is one of the most recent developments in fuzzy sets. It is capable of identifying neutral degrees in addition to membership and non-membership degrees. In this study, a proposed approach is developed to find the solution for each of all three form of the SFOP. For a better understanding, the suggested article includes six solved situations together with screen grabs of the output summaries from the software used for the calculations. Additionally, the unique approach's advantages over the current work are mentioned. Finally, conclusion and future scope direction are also given.

 

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Published

2025-12-16

How to Cite

Algorithm to Solve Spherical Fuzzy Optimization Problems with Applications. (2025). Asian Journal of Fuzzy and Applied Mathematics, 13(2). https://doi.org/10.24203/8me95f14