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Three‐Stage Multi‐Attribute Group Decision‐Making Method Based on Interval‐Valued Spherical Fuzzy Density Operator

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  • Wenkun Zhou
  • Mei Hong

Abstract

The information aggregation operator in a fuzzy environment effectively reduces information errors and enhances the accuracy of decision‐making. In this paper, considering the preference of decision makers (DMs) for dense distribution of evaluation information, we introduce density intermediate operators and propose interval‐valued spherical fuzzy density intermediate operators, which include the interval‐valued spherical fuzzy density weighted arithmetic average (IVSFDWAA) operator and the interval‐valued spherical fuzzy density weighted geometric average (IVSFDWGA) operator, to achieve effective aggregation of information and study their related properties. In addition, the distance measure and entropy theory in the interval‐valued spherical fuzzy environment are extended, and the weight of attributes is determined by comprehensive fuzzy information entropy. On this basis, a three‐stage multi‐attribute group decision‐making method combining TOPSIS is proposed. Finally, an example is provided to illustrate the effectiveness of the proposed method, and its sensitivity and comparative analysis are carried out.

Suggested Citation

  • Wenkun Zhou & Mei Hong, 2025. "Three‐Stage Multi‐Attribute Group Decision‐Making Method Based on Interval‐Valued Spherical Fuzzy Density Operator," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 46(7), pages 4011-4031, October.
    • Handle: RePEc:wly:mgtdec:v:46:y:2025:i:7:p:4011-4031
    DOI: 10.1002/mde.70000
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    References listed on IDEAS

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    1. Zhen-Song Chen & Jia Zhou & Chen-Ye Zhu & Zhu-Jun Wang & Sheng-Hua Xiong & Rosa M. Rodríguez & Luis Martínez & Mirosław J. Skibniewski, 2023. "Prioritizing real estate enterprises based on credit risk assessment: an integrated multi-criteria group decision support framework," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-53, December.
    2. Peide Liu & Peng Wang, 2018. "Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(6), pages 1188-1211, April.
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