L水平相似关系下不完备区间值信息表的三支决策  

Three-way decision on incomplete interval-valuedinformation tables under L level similarity

作　　者：于倩倩 李小南 YU Qianqian;LI Xiaonan(School of Mathematics and Statistics,Xidian University,Xi'an 710071,Shaanxi,China)

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710071

出　　处：《陕西师范大学学报（自然科学版）》2023年第1期87-100,共14页Journal of Shaanxi Normal University：Natural Science Edition

基　　金：国家自然科学基金(61772019)。

摘　　要：推广了不完备信息表的三支决策模型。首先,根据决策者的风险偏好,定义一个L水平相似关系用以度量区间值信息表上不同对象间的相似程度。其次,从不完备信息表中存在的缺失值的两种语义出发,利用区间数获取损失函数进而通过贝叶斯最小风险决策理论求得三划分所需要的阈值。最后,将三支决策模型推广到由区间值不完备信息和损失函数矩阵组成的混合区间值信息表上,并且研究了模型的性质。The three-way decisions model based on incomplete interval-valued information tables is generalized and improved.Firstly,according to the risk preference of decision-makers,a L level similarity relation is defined to measure the similarity degree between different objects in the interval-valued information table.Secondly,based on the two semantics of missing values in incomplete information tables,the interval number is used to obtain the loss function,and then the threshold value required by the three-partition is obtained by Bayesian minimum risk decision theory.Finally,the three-way decision is extended to the mixed interval-valued information tables which is composed of incomplete interval-valued information and loss function matrix,and the key steps and model methods of constructing the three-way decision are studied in detail.

关 键 词：区间值模糊集 三支决策 不完备信息表 L水平相似关系 决策理论粗糙集 

分 类 号：O159[理学—数学]