三角模糊数型不确定多指标决策的相似规划模型及其应用

Similarity programming model for triangular fuzzy number-based uncertain multi-attribute decision making and its application

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:首先,给出了一种新的规范三角模糊数相似度和决策方案相似度的定义,提出了三角模糊数相似度关系理论并得到了一些相关结果;其次,借鉴离差最大化思想提出了一种基于三角模糊数相似度关系确定指标权重的相似规划模型;再次,利用各决策方案与理想决策方案相似度的相对比值大小对各决策方案进行排序和择优,以此给出了三角模糊数型不确定多指标决策的相似度关系算法;最后,通过算例对该算法与离差最大化算法进行对比分析说明了该算法的可行性和有效性。

In view of the triangular fuzzy number-based uncertain multi-attribute decision making problem with unknown attribute weights, firstly, the new definitions of the similarity degree of the regular triangular fuzzy number and decision-making alternative are given, the similarity degree relation theory of the triangular fuzzy number is presented and some related results are obtained. Secondly, learning the idea of maximizing devi- ations algorithm rules, a similarity programming model is established to determine the attribute weight based on the similarity degree relation of the triangular fuzzy number. Thirdly, the relative ratio of the similarity degree value between decision-making alternative and the ideal standard is utilized to sort and pick over all decision- making alternatives, then the algorithm of the similarity degree relation for triangular fuzzy number-based un- certain multiple attribute decision making is presented. Finally, the characters between the maximizing devia- tion algorithm and the proposed algorithm are compared and analyzed by a numerical example, to illustrate the feasibility and effectiveness of the algorithm.