基于依赖空间的不协调决策信息系统的分配约简  

Assignment Reduction in Inconsistent Decision Information Systems Based on Dependence-space

作　　者：余承依[1] 李进金[1] 

机构地区：[1]漳州师范学院数学与信息科学系,福建漳州363000

出　　处：《模糊系统与数学》2011年第5期129-135,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(1097118611061004)

摘　　要：从属性集角度研究不协调决策信息系统的分配约简问题。定义了一种决策分配二元关系,并利用这种关系建立了属性集幂集上的等价关系,由此产生依赖空间。同时利用决策分配二元关系和依赖空间给出了不协调决策信息系统分配协调集的判定定理,进而得到了一种保持不协调决策信息系统分配不变的属性约简方法。同时通过实例验证方法的有效性。From the view of attribute sets,the assignment reduction in inconsistent decision information systems is researched.A new decision assignment binary relation is defined,based on the relation the equivalence relation is constructed on attribute sets and its power sets,and a dependence space is also produced.By applying decision assignment binary relation and dependence space,the judgement theorems for judging assignment consistent sets are obtained,from which we provide a new attribute reduction algorithm,it can preserve all assignment decision classes in inconsistent decision information systems.Finally,a practical example illustrates the validity of the method.

关 键 词：粗糙集 决策分配二元关系 分配约简 依赖空间 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]