论文标题
代数方法的指示粗略套件
Algebraic Approach to Directed Rough Sets
论文作者
论文摘要
在对一般粗糙集合的关系方法中，在本研究论文中，有指导关系的思想补充了多种代数方法的其他条件。该关系还专门针对上指导，反射性和反对称性的一般性的代表，对于第一作者而言，在大致相等的对象上，表现更好的群体体面语义。她在这项研究中还发明了另一个近似近似的代数语义，以及新的知识解释。由于对关系施加的最小条件，因此在构建所有近似值（颗粒状和指尖）的构造中使用了邻里颗粒。第二作者证明了局部上部近似晶格的必要条件。这些结果与形式概念分析有关。还概述了以学生为中心的学习和决策的申请。
In relational approach to general rough sets, ideas of directed relations are supplemented with additional conditions for multiple algebraic approaches in this research paper. The relations are also specialized to representations of general parthood that are upper-directed, reflexive and antisymmetric for a better behaved groupoidal semantics over the set of roughly equivalent objects by the first author. Another distinct algebraic semantics over the set of approximations, and a new knowledge interpretation are also invented in this research by her. Because of minimal conditions imposed on the relations, neighborhood granulations are used in the construction of all approximations (granular and pointwise). Necessary and sufficient conditions for the lattice of local upper approximations to be completely distributive are proved by the second author. These results are related to formal concept analysis. Applications to student centered learning and decision making are also outlined.
