基于相容关系的粗糙集理论的推广

A Generalized Model of Rough Set Theory Based on Compatibility Relation

文章给出了一种基于相容关系的推广的粗糙集模型。当传递性不能满足时,等价关系弱化为相容关系,用相容核代替等价类来构造上、下近似算子,从而给出一种推广的粗糙集模型。较之于以R(x)代替等价类所得到粗糙集模型,该文所得到的上、下近似算子分别是闭包算子和内部算子,而且对未知知识的(近似)刻画更为精确。

This paper presents a generalized model of rough set theory based on compatibility relation.When transitive property is unsatisfied,an equivalence relation is weakened to be a compatibility relation.In this case,we employ com-patibility kernel to take place the equivalence class,and consequently the upper and lower approximate operators are constructed.Compared with the generalized approximate operators obtained by simply substituting the equivalence class with R(x),the approximate operators of this paper are closure operator and interior operator respectively,and the accu-racy of the(approximate)description to unknown knowledge is finer.