摘要
在对偶犹豫模糊语言集、概率对偶犹豫模糊集和广义幂集结算子的基础上,研究了在概率对偶犹豫模糊语言环境下的广义幂集结算子问题。首先,给出了概率对偶犹豫模糊语言集的定义、运算规则、得分函数、精确函数、距离测度、熵。然后,定义了广义概率对偶犹豫模糊语言幂集结算子,并研究其具有的性质。其次,提出了一种决策方法来解决集结数据之间存在相互关系的概率对偶犹豫模糊语言多属性决策问题。最后,结合相关案例验证了该方法的有效性和可行性。
Based on the dual hesitant fuzzy linguistic set,the probabilistic dual hesitation fuzzy set and the generalized power aggregation operators,generalized probabilistic dual hesitant fuzzy linguistic power aggregation operators are studied.Firstly,the definition,the operational laws,score function,accuracy function,distance measure and entropy of the probabilistic dual hesitant fuzzy linguistic set are proposed.Then,the generalized probabilistic dual hesitant fuzzy linguistic power aggregation operators are defined and their properties are studied.Moreover,a decision-making method is proposed to solve the multi-attribute decision problem of probabilistic dual hesitant fuzzy linguistic with the relationship between the aggregated data.Finally,a practical example is given to illustrate the effectiveness of the proposed approaches.
作者
朱峰
徐济超
刘玉敏
王宁
ZHU Feng;XU Ji-chao;LIU Yu-min;WANG Ning(School of Management EngineeringZhengzhou University,Zhengzhou 450001,China;School of Business,Zhengzhou University,Zhengzhou 450001,China)
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2020年第10期59-67,共9页
Operations Research and Management Science
基金
国家自然科学基金资助项目(71672182,71711540309,U1504703,U1604262)
河南省教育厅人文社科重点项目(2016-ZD-054)
河南省教育科学“十三五”规划项目((2018)-JKGHYB-0009)。
关键词
概率对偶犹豫模糊语言集
多属性决策
广义幂集结算子
熵
probabilistic dual hesitant fuzzy linguistic set
multi-attribute decision making
generalized power aggregation operator
entropy
作者简介
朱峰(1994-),男,河南信阳,博士生,研究方向:多属性决策,复杂系统建模;徐济超(1958-),男,河南郑州,教授,博士,研究方向:模糊决策分析、质量工程;通讯作者:刘玉敏(1956-),女,河南郑州,教授,博士,研究方向:决策分析、质量智能监控;王宁(1983-),男,河南郑州,副教授,博士,研究方向:智能优化算法,质量管理。
