基于动态三角模糊数与改进TOPSIS法的冲突型群决策方法研究

doi:10.11896/jsjkx.241000119

摘要/Abstract

摘要： 当前采用三角模糊数与TOPSIS法进行群体决策的方法往往仅考虑由专家组共同给出专家评价信息,未考虑不同专家对同一事物的看法不尽相同,以及出于其他未知因素考虑,可能对同一事物存在有不同的偏好,同时不同专家有不同的个人权重。因此,在对动态三角模糊数与改进TOPSIS法进行充分调查和研究的基础上,将专家组共同给出评价信息的群体决策方法扩展为由不同专家分别给出评价信息后进行群体决策,并提出了专家个人评价信息与群体决策信息冲突的判断方法和冲突消解方法,且采用实际案例验证了所提出方法的科学性和有效性。邀请若干名专家分别对不同候选方案做出评价,分别计算获得各位专家对不同候选方案的正、负理想方案的欧氏距离、灰色关联度和相对贴近度;然后,结合各位专家的个人权重,计算获得各方案的群体相对贴近度;接着,计算获得进行冲突检测的阈值和冲突测度值,如果存在决策冲突的情况,则由相应专家修改评价信息并对相应专家采取降低个人权重的惩戒措施;最后,重新计算获得各位专家对不同候选方案的相对贴近度和最终的群体相对贴近度,以用于确定最佳方案。

关键词: 动态, 三角模糊数, TOPSIS, 冲突, 群决策, 消解

Abstract: Currently,methods utilizing triangular fuzzy numbers and TOPSIS for group decision-making often solely consider the expert evaluation information collectively provided by the expert group,neglecting the fact that different experts may have va-rying preferences for the same matter,as well as differing personal weights among experts.Therefore,based on dynamic triangular fuzzy numbers and the refined TOPSIS method,this study extends the collective evaluation information provided by the expert group to individual evaluations from different experts.It proposes methods for judging and resolving conflicts between individual expert evaluations and group decision information.Furthermore,it employs practical cases to validate the scientific validity and effectiveness of the proposed methods.In this study,several experts are invited to evaluate various candidate schemes.The study calculates the Euclidean distance,grey correlation degree,and relative closeness of each expert to the positive and negative ideal schemes for different candidate schemes.Subsequently,by incorporating the individual weights of each expert,it computes the group relative closeness of each scheme.Additionally,it determines the threshold and conflict measure values for conflict detection.If a decision conflict arises,the respective experts revise their evaluation information and implement disciplinary measures by reducing the individual weights of the concerned experts.The study then recalculates the relative closeness of each expert to different candidate schemes and the final group relative closeness.Decisions are made based on the final group relative closeness,leading to the selection of the optimal scheme.

Key words: Dynamic, Triangular fuzzy numbers, TOPSIS, Conflict, Group decision, Resolving conflicts

中图分类号:

TP182

王克克, 艾伟, 殷艳艳, 钱钱. 基于动态三角模糊数与改进TOPSIS法的冲突型群决策方法研究[J]. 计算机科学, 2025, 52(11A): 241000119-8. https://doi.org/10.11896/jsjkx.241000119

WANG Keke, AI Wei, YIN Yanyan, QIAN Qian. Research on Conflict-type Group Decision-making Method Based on Dynamic Triangular FuzzyNumbers and Improved TOPSIS Method[J]. Computer Science, 2025, 52(11A): 241000119-8. https://doi.org/10.11896/jsjkx.241000119

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