基于直觉正态模糊集结算子的多准则决策方法

定义了直觉正态模糊数及其运算法则、Euclidean距离、直觉正态模糊加权算术平均算子和直觉正态模糊加权几何平均算子. 针对准则值为直觉正态模糊数而权重信息不完全的多准则决策问题, 提出了一种基于直觉正态模糊集结算子的决策方法. 该方法首先利用各方案之间的距离和最小化思想建立优化模型求得最优权重, 然后利用集结算子对各准则进行集结, 从而得到各方案的综合评价值, 最后通过比较它们跟正负理想方案间的相对贴近度的大小, 得到方案集的排序. 实例表明该方法的有效性和可行性.

Multi-criteria decision-making method based on intuitionistic normal fuzzy aggregation operators

Intuitionistic normal fuzzy numbers as well as their operational laws and Euclidean distance are defined, and some intuitionistic normal fuzzy aggregation operators including weighted arithmetic averaging operator and weighted geometric averaging operator are also defined. For multiple criteria decision making problems, in which the criteria values are intuitionistic normal fuzzy numbers and the criteria weight information is incomplete, an approach based on intuitionistic normal fuzzy aggregation operators is proposed. The optimal criteria weights are obtained by an optimal model based on the minimum of the sum of the distance between every two alternatives. And after aggregating criteria values by using intuitionistic normal fuzzy aggregation operators, the comprehensive evaluation values of all alternatives can be gotten. Then, the ranking of the whole alternatives set can be obtained by comparing the relative closeness of alternatives to the ideal and anti-ideal solutions. An example is given to show the feasibility and availability of the method.