考虑群体一致性的区间犹豫模糊TOPSIS决策方法

Interval-Valued Hesitant Fuzzy TOPSIS Decision Making Method with Group Consistency

在区间犹豫模糊多属性决策问题中,针对区间犹豫模糊元中人为添加元素从而影响最终决策结果客观性的问题,文章提出一种基于群体一致性的区间犹豫模糊多属性决策方法.首先,根据区间犹豫模糊元中的元素个数以及元素间的差异定义区间犹豫度,并基于犹豫度定义了区间群体一致性;然后,基于群体一致性构建属性权重确定模型,并确定各属性的权重.最后,计算各备选方案到理想点的距离,运用TOPSIS方法对备选方案进行排序,并通过一个算例证明文章方法的可行性和有效性.

In the interval-valued hesitant fuzzy multiple attribute decision making problems,this paper proposed an interval-valued hesitant fuzzy multiple attribute decision making method based on group consistency to solve the problem of artificially adding values into interval-valued hesitant fuzzy element which would affect the objectivity of final decision-making results.First of all,the interval-valued hesitant degree is defined according to the number of interval-valued hesitant fuzzy elements and the differences between interval-valued hesitant fuzzy elements,and the interval-valued group consistency is defined based on the hesitant degree.Then,the weight determination model based on group consistency is constructed to determine the weights vector.Finally,the distance between each alternative and the ideal point is calculated,and use TOPSIS method to rank all the alternatives.An example is given to demonstrate the feasibility and effectiveness of the proposed method in this paper.