江西科学2024,Vol.42Issue(5) :917-923.DOI:10.13990/j.issn1001-3679.2024.05.001

球型模糊环境下基于前景理论和VIKOR的多属性群决策方法研究

Research on MAGDM Method Based on Prospect Theory and VIKOR in Spherical Fuzzy Environment

王海茵 周宏安
江西科学2024,Vol.42Issue(5) :917-923.DOI:10.13990/j.issn1001-3679.2024.05.001

球型模糊环境下基于前景理论和VIKOR的多属性群决策方法研究

Research on MAGDM Method Based on Prospect Theory and VIKOR in Spherical Fuzzy Environment

王海茵 1周宏安1
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作者信息

  • 1. 西安工业大学基础学院,710021,西安
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摘要

研究了模糊多属性群决策问题.首先,在属性权重已知的情况下,通过建立评价属性,专家打分构建球型模糊评价矩阵.其次,考虑专家的有限理性行为,基于前景理论构建了前景值决策矩阵,并运用VIKOR方法,在可接受优势和决策过程稳定的条件下对方案进行择优.最后,通过算例与 3 种方法对比,说明了方法的有效性和可行性.

Abstract

This study investigates the problem of the multi-attribute group decision-making(MAG-DM)in a fuzzy environment.Firstly,a spherical fuzzy evaluation matrix is constructed by establis-hing evaluation attributes and expert scoring.Secondly,a prospect value decision matrix is construc-ted based on prospect theory,considering the limited rationality of experts.Subsequently,the VIKOR method is applied to select the optimal solution under conditions of acceptable advantages and a stable decision-making process.Finally,the effectiveness and feasibility of the method are demonstrated through a numerical example and its comparison with three other methods.

关键词

多属性群决策/球型模糊集/前景理论/VIKOR方法

Key words

multiple-attribute group decision-making(MAGDM)/spherical fuzzy sets/prospect theory/VIKOR

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出版年

2024
江西科学
江西省科学院

江西科学

影响因子:0.286
ISSN:1001-3679
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