基于前景理论的直觉模糊三支决策模型
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摘要：
针对直觉模糊环境下的三支决策建模问题,综合考虑决策者的不同风险偏好所引起的阈值变化,提出了一种基于前景理论的直觉模糊三支决策模型.首先,给出了一种新的直觉模糊事件概率的计算方法,并对其性质进行证明.然后,在直觉模糊信息表中,利用直觉模糊可能性测度(Intuitionistic Fuzzy Probability Measure,IFPM)计算理想参照点,根据理想参照点前景均值和论域对象综合前景值的关系,给出三支决策划分规则.最后,为减少边界冗余信息,对边界域对象进行二次划分,给出相关算法,并用实例验证了该模型的有效性.
Aiming at the problems of the three-way decisions model construction in the intuitionistic fuzzy environment and considering the threshold changes caused by different risk preferences of decision makers,the prospect theory based intuitionistic fuzzy three-way decisions model is proposed.Firstly,a new method for calculating the probability of intuitionistic fuzzy events is given,and its related properties are proved.Then,Intuitionistic Fuzzy Probability Measure(IFPM)is used to calculate the ideal reference points,and according to relationships between the prospect mean value of ideal reference points and comprehensive prospect value of domain objects,the three-way decisions rules are given under the intuitionistic fuzzy information table.Finally,in order to reduce redundant information of the boundary,the object in the boundary domain is secondary divided.At the same time,the related algorithm is given,and the validity of the model is validated by an example.
作者：
薛占熬 庞文莉 姚守倩 范黎林
Xue Zhan'ao;Pang Wenli;Yao Shouqian;Fan Lilin(College of Computer and Information Engineering,Engneering Lab of Inelligence Business and Internet of Things,Henan Province,Henan Normal University,Xinxiang 453007,China)
机构地区：
Betway官方客服计算机与信息工程学院 Betway官方客服“智慧商务与物联网技术”河南省工程实验室
出处：
《Betway官方客服学报：自然科学版》 CAS 北大核心 2020年第5期31-36,79,F0002,共8页
基金：
国家自然科学基金(61772176) 河南省科技攻关项目(182102210078 182102210362).
关键词：
前景理论 IFPM 直觉模糊熵 直觉模糊三支决策
prospect theory IF PM intuitionistic fuzzy entropy intuitionistic fuzzy three way decisions
分类号：
TP191 [自动化与计算机技术—控制理论与控制工程]
