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

IF 2.7 3区经济学 Q2 ECONOMICS

Managerial and Decision Economics Pub Date : 2025-06-25 DOI:10.1002/mde.70000

Wenkun Zhou, Mei Hong

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引用次数: 0

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.

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基于区间值球面模糊密度算子的三阶段多属性群决策方法

模糊环境下的信息聚合算子有效地减少了信息错误，提高了决策的准确性。本文考虑决策者对评价信息密集分布的偏好，引入密度中间算子，提出区间值球形模糊密度中间算子，包括区间值球形模糊密度加权算术平均算子（IVSFDWAA）和区间值球形模糊密度加权几何平均算子（IVSFDWGA）。实现信息的有效聚合，并研究其相关属性。此外，扩展了区间值球形模糊环境中的距离度量和熵理论，利用综合模糊信息熵确定属性的权重。在此基础上，提出了一种结合TOPSIS的三阶段多属性群体决策方法。最后，通过算例验证了该方法的有效性，并对其进行了灵敏度分析和对比分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Managerial and Decision Economics Multiple-

CiteScore

1.40

自引率

18.20%

发文量

242

期刊介绍： Managerial and Decision Economics will publish articles applying economic reasoning to managerial decision-making and management strategy.Management strategy concerns practical decisions that managers face about how to compete, how to succeed, and how to organize to achieve their goals. Economic thinking and analysis provides a critical foundation for strategic decision-making across a variety of dimensions. For example, economic insights may help in determining which activities to outsource and which to perfom internally. They can help unravel questions regarding what drives performance differences among firms and what allows these differences to persist. They can contribute to an appreciation of how industries, organizations, and capabilities evolve.