中文摘要：

针对属性权重未知的三角模糊数型不确定多属性决策问题,提出一种新的规范三角模糊数与决策方案的相对相似度定义和三角模糊数相对相似度关系理论;借鉴合作博弈中可能度最大化算法提出一种基于三角模糊数相对相似度关系的属性权重确定方法;利用备选方案对象在方案集中的总体相对相似度值大小选取最优对象并排序,以此给出三角模糊数型不确定多属性决策的相对相似度关系算法,最后通过算例分析表明了所提出算法的可行性和有效性.

英文摘要：

In view of the triangular fuzzy number-based uncertain multi-attribute decision making problem with unknown attribute weights, the new relative similarity degree of the triangular fuzzy number and decision-making alternatives are defined, and the relative similarity degree relation theory of the triangular fuzzy number is presented. Learning the idea of maximizing possibility degree algorithm rules in the cooperative game theory, an approach of determining the attribute weight based on the triangular fuzzy number relative similarity degree relation is proposed. Then the overall relative similarity degree value of the alternative objects in the alternative set is utilized to select the optimal object and sort, therefore an algorithm of relative similarity degree relation for triangular fuzzy number-based uncertain multiple attribute decision making is presented.Finally, a numerical example is given to illustrate the feasibility and effectiveness of the proposed algorithm.