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<p>The spherical fuzzy set is a generalization of various fuzzy structures, including fuzzy sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, and picture fuzzy sets. The notion of the spherical fuzzy chi-square divergence measure was defined by the intuitionistic fuzzy chi-square divergence measure. In this paper, the concept of the chi-square divergence measure for spherical fuzzy sets is defined and some operational properties related to the definition are proposed. In addition, comparative analysis is conducted through simulation experiments and numerical examples with common distance measures and similarity measures. Based on this, a multiple-attribute group decision-making (MAGDM) method based on the TOPSIS method is proposed. Finally, the feasibility and reliability of the method are verified through an example of evaluating a food distribution center.</p>

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Divergence measure of spherical fuzzy sets and their applications in MAGDM based on TOPSIS method

  • 期刊论文

  • 发表日期：

    2025年6月10日

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  • Changlin Xu,
  • Rong Yang,
  • Juhong Shen

摘要

The spherical fuzzy set is a generalization of various fuzzy structures, including fuzzy sets, intuitionistic fuzzy sets, Pythagorean fuzzy sets, and picture fuzzy sets. The notion of the spherical fuzzy chi-square divergence measure was defined by the intuitionistic fuzzy chi-square divergence measure. In this paper, the concept of the chi-square divergence measure for spherical fuzzy sets is defined and some operational properties related to the definition are proposed. In addition, comparative analysis is conducted through simulation experiments and numerical examples with common distance measures and similarity measures. Based on this, a multiple-attribute group decision-making (MAGDM) method based on the TOPSIS method is proposed. Finally, the feasibility and reliability of the method are verified through an example of evaluating a food distribution center.