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Spherical Fuzzy Soft Topology and Its Application in Group Decision-Making Problems

Author

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  • Harish Garg
  • Fathima Perveen P A
  • Sunil Jacob John
  • Luis Perez-Dominguez
  • Adiel T. de Almeida-Filho

Abstract

The spherical fuzzy soft set is a generalized soft set model, which is more realistic, practical, and accurate. It is an extended version of existing fuzzy soft set models that can be used to describe imprecise data in real-world scenarios. The paper seeks to introduce the new concept of spherical fuzzy soft topology defined on spherical fuzzy soft sets. In this work, we define some basic concepts including spherical fuzzy soft basis, spherical fuzzy soft subspace, spherical fuzzy soft interior, spherical fuzzy soft closure, and spherical fuzzy soft boundary. The properties of these defined set are also discussed and explained with an appropriate examples. Also, we establish certain important results and introduce spherical fuzzy soft separation axioms, spherical fuzzy soft regular space, and spherical fuzzy soft normal space. Furthermore, as an application, a group decision-making algorithm is presented based on the TOPSIS (Technique of Order Preference by Similarity to an Ideal Solution) method for solving the decision-making problems. The applicability of the proposed method is demonstrated through a numerical example. The comprehensive advantages of the proposed work have been stated over the existing methods.

Suggested Citation

  • Harish Garg & Fathima Perveen P A & Sunil Jacob John & Luis Perez-Dominguez & Adiel T. de Almeida-Filho, 2022. "Spherical Fuzzy Soft Topology and Its Application in Group Decision-Making Problems," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-19, April.
    • Handle: RePEc:hin:jnlmpe:1007133
    DOI: 10.1155/2022/1007133
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    Cited by:

    1. Ibtesam Alshammari & Mani Parimala & Cenap Ozel & Muhammad Riaz & Rania Kammoun, 2022. "New MCDM Algorithms with Linear Diophantine Fuzzy Soft TOPSIS, VIKOR and Aggregation Operators," Mathematics, MDPI, vol. 10(17), pages 1-22, August.

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