接着对分布约简的可辨识矩阵中等价类的区分关系进行改进，提出一种新的近似约简算法。
Secondly, it introduces an improved algorithm which revises the discernibility relation of similarity sets on the basis of the Discernibility Matrix of distribution reduction.
定义了决策表在优势关系下的相容约简和下近似约简，优势关系下的相容约简是优势关系下一致决策表约简的推广。
Much valuable but hidden information can be discovered from decision tables associated with compatible reduction and lower approximation reduction based on dominance relation.
对于决策表，人们从不同的角度出发，提出了正域约简、熵约简、分布约简、分配约简、近似约简等约简理论与方法。
As to decision table, positive domain reduction, entropy reduction, distributive reduction, distribution reduction, approximate reduction and so on are introduced from different views.
算法具有多边形约简算法相同的优良的近似质量，并可在固定数据缓冲区空间内在线运算。
The quality of approximation is as good as polygonal boundary reduction, and it can process the data online in a constant buffer.
在粗糙集理论及粗糙模糊集理论中，上下近似及边界的求解与决策表属性约简是它们的核心内容。
In the rough set theory and rough-fuzzy set theory, computation of approximations and edge and attributes reduction of decision table is import part of them.
重新定义了近似空间内的一些概念，给出了加权粗糙集模型的约简概念，指出了加权系数的两种方法。
Some Approximate Space concepts were re-defined. The Reduction of Weighing Rough Set Model was stated, two methods for calculating weight were was given, too.
其主要内容包括近似集、决策系统、数据预处理以及属性约简等等，是一种处理不完整，不精确数据的有效方法。
The main contents include the approximation set, decision systems, data preprocessing and attribute reduction and so on. It is a effective method of dealing with incomplete, inaccurate data.
目前，人们对广义粗糙集的研究主要集中在集合的近似计算上，而真正利用广义粗糙集进行属性约简的研究还很少见。
The existing researches on generalized rough sets are mainly concentrated on set approximations; less effort has been made for attribute reduction.
本文研究模糊近似空间与模糊拓扑空间之间的关系、基于模糊覆盖的粗糙集模型与约简等问题。
This paper discusses the relationships between a fuzzy approximation space and a fuzzy topology space. The approximations and reduction in fuzzy covering-based rough sets are also studied.
为了获得简明的规则集，通常希望能找出最小的属性约简集，而求解最小约简是NP难问题，解决此类难题通常采用启发式算法以求得近似最优解。
The minimum attributes reduction set is expected to acquire the brief regulated set. This is taken as NP-hard Problem, which can be figured out through the heuristic algorithm.
提出约简质量的定义，从属性约简率和近似质量两方面来衡量约简效果。
The attribute reduction quality, which includes reduction ratio and approximate quality, is defined to scale the reduction effectiveness.
从拓扑的包含关系这一全新的视角进一步认识协调近似表示空间的属性约简理论。
The inclusion relation of topologies is used to recognize the theory of reduction in consistent approximate representation space.
从拓扑的包含关系这一全新的视角进一步认识协调近似表示空间的属性约简理论。
The inclusion relation of topologies is used to recognize the theory of reduction in consistent approximate representation space.
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