融合关联性准则模糊测度的改进型VIKOR方法研究

Research on Improved VIKOR Method Based on Fuzzy Measure of Association Criterion

多准则决策环境下,厘清准则关联性对决策结果影响机理将有助于提高决策结果的可靠性。首先,详细阐述了关联性准则的模糊测度表征的shapley值和交互系数;其次,以VIKOR方法为基础,深入分析了关联性准则对群体效用值和方差以及个体遗憾值的影响规律,提炼并总结了3条重要性质;再次,提出了包含准则交互系数的改进型VIKOR方法;最后,通过实例的对比研究凸显了本方法的优越性。

Under the multi-criteria decision making environment,it is helpful to clarify the influence mechanism of criterion relevance on decision making results,so as to improve the reliability of decision making results.Firstly,the shapley value and interaction coefficient of the fuzzy measure representation of the association criterion are elaborated.Secondly,based on the VIKOR method,the influence law of the association criterion on the group utility value and the variance and the individual regret value is analyzed deeply,and three important properties are presented and an improved VIKOR method with criterion interaction coefficients is proposed.Finally,a comparative study of the examples highlights the superiority of the method.