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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
【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。
【Abstract】 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.
【Key words】 Rough Sets; Decision Assignment Binary Relation; Assignment Reduction; Dependence Space;
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2011年05期
- 【分类号】TP18
- 【被引频次】3
- 【下载频次】94