度量偏好直觉模糊序决策信息系统的分布约简  

Distribution Reduction in Intuitionistic Fuzzy Ordered Decision Information System with Preference Measure

作　　者：徐伟华 蒋宗颖 XU Weihua;JIANG Zongying(College of Artificial Intelligent,Southwest University,Chongqing 400715,China)

机构地区：[1]西南大学人工智能学院,重庆400715

出　　处：《昆明理工大学学报（自然科学版）》2022年第1期156-163,共8页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(61976245)。

摘　　要：在直觉模糊信息系统中引入了加权得分函数,在此基础上构造了基于度量偏好的直觉模糊序决策信息系统,进一步通过考虑度量偏好直觉模糊序决策信息系统下的优势关系,给出了一种条件准则集是分布约简或者最大分布约简的判断定理.然后,通过讨论分布和最大分布协调集的性质,在辨识矩阵的辅助下研究了具体度量偏好直觉模糊序决策信息系统下的分布约简方法.最后,通过分析具体的实例,验证了辨识矩阵获得分布约简的方法,并给出分布约简的实际意义.In this paper, a weighted score function was introduced into the data set with intuitionistic fuzzy numbers, and an intuitionistic fuzzy ordered decision information system with preference measure was constructed on the base of the partial order relation by the weighted score function. And the dominance relation was defined in this decision information system. Moreover, the judgment theorem was proposed in the system, by which the conditional criterion set can be considered a distribution reduction or a maximum distribution reduction. In order to obtain all distribution reductions, a method was put forward by the identification matrix by the properties of distribution and maximum distribution coordination set in the new decision information system. Finally, a specific case was analyzed to verify the method of the distribution reduction by the identification matrix, and the practical meaning of distribution reduction was given in real life.

关 键 词：偏序关系 分布约简 加权得分函数 直觉模糊集 粗糙集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]