摘要： 犹豫模糊语言决策方法中的权重需要人为给出,具有较大主观性,导致决策结果不稳定。针对该问题,提出一种组合权重,用于解决犹豫模糊语言多属性决策中权重未知的问题,并克服因主观权重带来的不确定性。通过最大偏差方法分别获得犹豫模糊语言集中的犹豫模糊集与语言集的客观权重,对这2种客观权重进行组合并归一化,从而得到组合权重,并给出基于组合权重的逼近理想解排序法的决策方法与犹豫模糊语言组合加权几何算子决策方法。实例结果表明,2种方法的决策结果相同,验证了组合权重的可行性。

关键词: 犹豫模糊语言集, 组合权重, 最大偏差, 客观权重, 几何算子

Abstract: In view of hesitant fuzzy linguistic decision methods are given by people which have great subjectivity and lead to the instability of the decision making results.The combination weight is proposed which is used to solve the problem of unbeknown weight in hesitant fuzzy linguistic multiple attribute decision making and overcomes the uncertainty caused by the subjective weight.By means of the maximizing deviation method,the objective weights of hesitant fuzzy set and linguistic set in hesitant fuzzy linguistic set can be obtained respectively.This paper aggregates two kinds of the objective weights,and normalizes them to obtain the combination weight.The Technique for Order Preference by Similarity to an Ideal Solution(TOPSIS)method based on combination weight and the method based on hesitant fuzzy linguistic combination weight geometric operator are explored.Example results show that the decision results of the two methods are the same,so as to verify the feasibility of combination weight.

Key words: hesitant fuzzy linguistic set, combination weight, maximizing deviation, objective weight, geometric operator

中图分类号: 

• TP391