基于VIKOR和关联系数的犹豫三角模糊语言多属性决策方法

VIKOR and Correlation Coefficient Method-based Measure for Multi-attribute Decision Making with Hesitant Triangular Fuzzy Linguistic Set

针对属性评价值为犹豫三角模糊语言集的多属性决策问题,提出一种基于VIKOR方法的犹豫三角模糊语言多属性决策方法.首先定义了犹豫三角模糊语言集的相关概念.然后运用VIKOR和关联系数方法,在可接受优势和决策过程稳定的条件下对方案进行择优,在理论分析的基础上,提出了这种新方法的计算步骤.并构建了确定最优属性权重的非线性规划模型,研究了当专家权重和属性权重未知情况下的犹豫三角模糊语言多属性决策方法.最后通过实例说明了该方法的有效性和可行性.

For solving multiple attribute decision making(MADM) problems where the evaluation values are in the form of hesitant Trapezoid fuzzy sets(HTrFS),an approach based on VIKOR theory of hesitant triangular fuzzy linguistic multiple attribute decision making is proposed.First,the related concept of hesitant triangular fuzzy linguistic set is defined.Then the VIKOR and correlation coefficient method is used to optimize the alternatives under the condition that the acceptable advantages and the decision making process are stable.On the basis of the theoretical analysis,the calculation steps of this new method are put forward.And a nonlinear programming model is established to determine the optimal attribute weight.The multi attribute decision making method of hesitant triangular fuzzy linguistic set is studied when the expert and attribute weight is unknown.Finally,an example illustrates the feasibility and validity of this approach.