三角模糊数型不确定多指标决策的可能度关系法

针对指标权重未知的三角模糊数型不确定多指标决策问题, 提出4 种新的三角模糊数比较可能度的等价定义, 并得到一些优良性质关系. 借鉴合作博弈中极大极小算法, 提出一种基于三角模糊数比较可能度关系的指标权重确定方法; 集结所有决策方案比较的可能度, 并对决策方案集进行最优判定和排序, 即可得到三角模糊数型不确定多指标决策的比较可能度关系法. 最后通过算例表明所提出算法的可行性和有效性.

Possibility degree relation method for triangular fuzzy number-based uncertain multi-attribute decision making

In view of the unsure attribute weights problem of triangular fuzzy number-based uncertain multi-attribute decision making, four new equivalent definitions of triangular fuzzy numbers comparison possibility degree are proposed, and some good nature results are obtained. Learning the idea of min-max algorithm rules in the cooperative game theory, a method of determining the attribute weight based on the possibility degree of triangular fuzzy number comparison relation is proposed. Then the overall measured values of comparison possibility degree of the various alternatives are utilized to determine the best and sort the decision-making alternatives set, and an algorithm of comparison possibility degree relation for triangular fuzzy number-based uncertain multiple attribute decision making is presented. Finally, a numerical example illustrates the feasibility and effectiveness of the proposed algorithm.