知识格

The Knowledge Lattice

定义了知识集、知识等价关系集、知识分类集,研究了其上的并交格和精细格的性质和相互关系。定义了与知识精细关系相容的格算子,并给出了其算法和知识精细关系的充要条件。证明了知识等价关系并交格与知识分类精细格同构,得出了知识并交格中粗糙集知识横向变化的性质。

Knowledge set, knowledge equivalent relation set and knowledge classification set are defined. The properties and interrelationships of union-intersection lattice and the fine lattice of these sets, are studied. The lattice operators, which correspond with the knowledge fine relation, are defined, and the algorithms of them and sufficient and necessary conditions for the knowledge fine relation are given. Isomorphism of, union-intersection lattice of knowledge equivalent relation set and fine lattice of knowledge classification set, is proved. The properties of the transverse change of knowledge of union-intersection lattice of knowledge set are derived.