变精度不协调决策信息系统的知识约简及决策方法  

Knowledge Reduction and Decision-making Methodfor Variable Precision Inconsistent Decision Information Systems

作　　者：王炜源 王倩[1] WANG Wei-yuan;WANG Qian(College of Mathematics and Computer Science,Northwest Minzu University,Lanzhou 730030,China)

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《兰州文理学院学报(自然科学版)》2025年第2期22-28,共7页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：西北民族大学创新团队项目(8108030133)。

摘　　要：属性约简是粗糙集理论的一个核心问题.根据变精度粗糙集理论与包含度理论,引入不协调决策信息系统β-上近似约简和β-下近似约简的概念,提出了一种新的知识约简算法,该算法以β-上近似辨识集和β-下近似辨识集为基础,先分别求解出β-上近似辨识集与β-下近似辨识集,再通过最小析取范式确定知识约简集,从而进一步推导出最优决策规则集.理论分析和实例结果表明,该属性约简算法具有有效性和实用性.Attribute reduction is a key problem in rough set theory.In this paper,the concepts ofβ-upper approximate reduction andβ-lower approximate reduction in inconsistent decision information system is proposed based on variable precision rough set theory and inclusion degree theory.And a new knowledge reduction algorithm is proposes based onβ-upper approximate identification set andβ-lower approximate identification set.By solving theβ-upper approximate identification set,theβ-lower approximate identification set and the minimum disjunctive norm,the knowledge reduction set and the optimal decision rule set is obtained.Theoretical analysis and experimental results show that the new attribute reduction algorithm is effective and practical.

关 键 词：不协调决策信息系统 β-上(下)近似辨识集 知识约简 决策方法 

分 类 号：O159[理学—数学]