摘要
深入研究了犹豫模糊二元语义多属性决策问题。首先利用幂均算子给出了犹豫模糊二元语义集的均值函数,并基于均匀分布概率准则和二元语义的距离测度提出了犹豫模糊二元语义集两两比较的可能度公式,进一步给出了可能度排序公式的性质。针对属性值为犹豫模糊二元语义集的多属性决策问题,提出了一种基于熵权的多属性决策方法。最后结合实际问题,验证了该方法的有效性和可行性。
The hesitant fuzzy 2-tuple linguistic multiple attribute decision making problem is studied intensively in this paper. First of all, the mean function of the hesitant fuzzy 2-tuple linguistic set is given based on the power average operator, and the pairwise comparing possibility degree formula of hesitant fuzzy 2-tuple linguistic set of is proposed based on uniform distribution probability criterion and the distance measure of 2-tuple linguistic, and we give the properties of possibility degree ranking formulao Aiming at the multiple attribute decision making problems with hesitant fuzzy 2-tuple linguistic set, a method based on entropy weight is proposed. Finally, combined with practical problems, the effectiveness and feasibility of the method are verified.
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2018年第1期17-22,共6页
Operations Research and Management Science
基金
国家自然科学基金资助项目(71371107)
江苏省高校自然科学研究项目(16KJB110015)
江苏省高校哲学研究项目(2016SJD630014)
关键词
犹豫模糊语言集
二元语义
可能度
熵权
hesitant fuzzy linguistic set
2-tuple linguistic
possibility degree
entropy weight