q阶三角犹豫模糊BM算子及其多属性决策应用

为解决更为广泛的模糊决策问题,同时使决策信息与人的认知思维更为贴近,结合q阶犹豫模糊集和三角模糊数,提出了q阶三角犹豫模糊集的概念并定义了q阶三角犹豫模糊集运算.为了刻画信息集成过程中评价信息之间存在的关联关系,将Bonferroni平均算子推广至q阶三角犹豫模糊集,提出了q阶三角犹豫模糊Bonferroni平均算子....

q-rung hesitant triangular fuzzy BM operator and its application in multiple criteria decision making

In order to solve a wider range of fuzzy decision-making problems, and at the same time make decision information closer to human cognitive thinking, combining q-rung hesitant fuzzy sets and triangular fuzzy numbers, the concept of q-rung hesitant triangular fuzzy sets is proposed and the operation of q-rung hesitant triangular fuzzy sets is defined. In order to describe the relationship between evaluation information in the process of information integration, the Bonferroni mean operator is extend to the q-rung hesitant triangular fuzzy set, and the q-rung hesitant triangular fuzzy Bonferroni mean operator is proposed. In order to describe more correlations, the generalized Bonferroni mean operator is extend to the q-rung hesitant triangular fuzzy set, and the q-rung hesitant triangular fuzzy generalized Bonferroni mean operator is proposed. Considering that the importance of different attributes of evaluation information is different, their weighted form is proposed. In the end, a multi-attribute decision-making method under q-rung hesitant triangular fuzzy environment is proposed and verified the experimental results by an example.