基于FVIKOR的三角模糊数型多准则决策方法

针对准则值和准则权重均为三角模糊数的多准则决策问题, 提出一种三角模糊数型VIKOR(FVIKOR) 方法. 首先, 分析FVIKOR方法中直接运用三角模糊数运算规则计算群体效用值、个体遗憾值和妥协解可能违反三角模糊数左中右端点值逐渐增加的基本特性, 提出实施三角模糊数去模糊化的解决策略; 然后, 设计去模糊化参数优化模型, 并给出FVIKOR应用的具体步骤; 最后, 通过具体算例表明了所提出方法的实施过程和有效性.

Multi-criteria decision method with triangular fuzzy numbers based on FVIKOR

According to the multi-criteria decision making problems in which the criteria and their weights take forms of the triangular fuzzy numbers, a triangular valued fuzzy VIKOR(FVIKOR) method is proposed. Firstly, the group utility, the individual regret and the compromise solutions calculated by the arithmetic regulation directly in the FVIKOR method may violate the arithmetic regulations of triangular fuzzy numbers, i.e., the left value is less than the medium value, which is in turn less than the right value, therefore, a feasible solution of defuzzifying the triangular fuzzy numbers is proposed. Then, the optimal models to designed set the parameters of defuzzifying the triangular fuzzy numbers, and the specific steps of the FVIKOR method are presented. Finally, an example illustrates the procedures and effectiveness of the proposed method.