基于权重为区间数的区间直觉模糊多属性决策

Interval-valued Intuitionistic Fuzzy Multiple Attribute Decision Making Based on Interval Number Weight

针对属性权重为区间数和属性值为区间值直觉模糊集的多属性决策问题,提出了一种新的基于理想解的决策方法。首先,定义了两个区间直觉模糊集的距离、属性权重与属性值之间的运算及正负理想方案;其次计算各个备选方案到理想方案的距离,通过评价指数公式判断方案的优劣;最后,通过一个具体的实例说明该方法的可行性。

Aiming at multiple attribute decision making problems of interval-valued intuitionistic fuzzy set,where the attribute weights are interval numbers and the attribute values are interval values,this paper proposes a new decision method based on the ideal solution.Firstly,the distance of two interval intuitionistic fuzzy sets,the operation between attribute weights and attribute values and the positive and negative ideal alternative are defined. Then,the distance of every alternative to the positive ideal alternative and the negative ideal alternative are calculated. The alternatives can be evaluated through the judgment index formula. Finally,this paper illustrates the feasibility of this method with a concrete example.