多属性群决策中基于指标重要性差异的专家权重分配模型OA
An expert weight distribution model based on importance difference of criteria in MAGDM
本文提出了一种考虑指标重要性差异的权重分配模型,用于确定多属性群决策问题中的专家权重.该模型基于决策者权重与评价指标相关的思想,以最大化决策者对不同指标的评价一致性为目标,通过SLSQP算法求解其最优解,最终获得最优的专家权重.本文通过算例验证了模型的可行性以及将指标差异性纳入模型的合理性.最后,本文将模型应用于一个建筑安全决策案例,进一步验证了模型的灵活性.
In this paper,a distribution model based on the importance difference of criteria is proposed to de-termine the expert weights in multi-attribute group decision-making(MAGDM).The model aims to maxi-mize the consistency of evaluations provided by a decision-maker across different criteria with its optimal solu-tion serving as the ideal expert weights.To solve the optimization problem,the Sequential Least Squares Pro-gramming(SLSQP)algorithm is employed.Numerical examples verify the feasibility and the rationality of the model in considering the impact of different criteria on the decision-makers(DMs).Finally,the model is applied to an architectural programming case for demonstrating its flexibility.
刘岳彤;徐友才;张世全;胡朝浪
四川大学数学学院,成都 610065四川大学数学学院,成都 610065四川大学数学学院,成都 610065四川大学数学学院,成都 610065
数理科学
多属性群决策专家权重分配优化模型
MAGDMexpert weight distributionoptimization model
《四川大学学报（自然科学版）》 2026 (1)
65-71,7
科技部重点研发项目(2022YFC3801300)
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