摘要
针对概率区间犹豫模糊集中运算不满足封闭性的问题,定义新的概率运算公式,使其满足封闭性,研究改进后的运算性质,提出概率区间犹豫模糊集的加权平均算子和加权几何算子,并得出集成算子法和均值法两种集成算法.研究结果表明:改进后运算具有交换律、乘法分配律、指数分配律、德摩根对偶律等良好性质.提出的两种算法有助于完善模糊决策理论,在现实生活中的决策问题都具有可行性和有效性.
In order to overcome the shortcomings existing in the closing operation for probabilistic interval-valued hesitant fuzzy sets,a new probability operation is defined.The improved operation properties are further studied.The probabilistic interval-valued hesitant fuzzy weight averaging operator and the probabilistic interval-valued hesitant fuzzy weight geometric operator are proposed.Then the aggregation operator method and the mean value method are obtained.The results show that the improved operations are satisfied with commutative law,multiplication allocating law,exponential distribution law and De Morgan’s law of duality.The two proposed methods are helpful to perfect the fuzzy decision theory and have the feasibility and effectiveness in decision-making problems in the real world.
作者
陈惠琴
黄韩亮
CHEN Huiqin;HUANG Hanliang(School of Mathematics and Statistics,Minnan Normal University,Zhangzhou 363000,China)
出处
《辽宁工程技术大学学报（自然科学版）》
CAS
北大核心
2020年第6期550-557,共8页
Journal of Liaoning Technical University (Natural Science)
基金
国家自然科学基金(11701089
11871259)
福建省自然科学基金(2018J01422)
关键词
概率区间犹豫模糊集
信息集成
多属性群决策
加权平均算子
加权几何算子
probabilistic interval-valued hesitant fuzzy sets
information aggregation
multi-attribute group decision making
weighted averaging operator
weighted geometric operator
作者简介
陈惠琴(1999-),女,福建漳州人,主要从事模糊集理论及其应用方面的研究;通讯作者:黄韩亮(1980-),男,福建漳州人,博士,教授,主要从事模糊集理论及其应用方面的研究.
