4.5 Article

Covering-Based Spherical Fuzzy Rough Set Model Hybrid with TOPSIS for Multi-Attribute Decision-Making

Journal

SYMMETRY-BASEL
Volume 11, Issue 4, Pages -

Publisher

MDPI
DOI: 10.3390/sym11040547

Keywords

fuzzy sets; spherical fuzzy sets; spherical fuzzy -covering; spherical fuzzy -covering neighborhoods; covering based spherical fuzzy rough set; spherical fuzzy TOPSIS methodology

Funding

  1. Philosophy and Social Science Planning Projects of Zhejiang [16ZJQN022YB]
  2. Zhejiang Province Natural Science Foundation [LY18G010007]
  3. Zhejiang Public Technology Applied Research Projects [LGG18F020001]
  4. Major Humanities and Social Sciences Research Projects in Zhejiang Universities [2018QN058]
  5. K. C. Wong Magna Fund in Ningbo University

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In real life, human opinion cannot be limited to yes or no situations as shown in an ordinary fuzzy sets and intuitionistic fuzzy sets but it may be yes, abstain, no, and refusal as treated in Picture fuzzy sets or in Spherical fuzzy (SF) sets. In this article, we developed a comprehensive model to tackle decision-making problems, where strong points of view are in the favour; neutral; and against some projects, entities, or plans. Therefore, a new approach of covering-based spherical fuzzy rough set (CSFRS) models by means of spherical fuzzy neighborhoods (SF neighborhoods) is adopted to hybrid spherical fuzzy sets with notions of covering the rough set. Then, by using the principle of TOPSIS (Technique for Order Preference by Similarity to an Ideal Solution) to present the spherical fuzzy, the TOPSIS approach is presented through CSFRS models by means of SF

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