覆盖广义粗糙集模型研究

Research on Generalized Rough Sets Model Based on Covering

覆盖广义粗糙集理论是由Pawlak经典粗糙集理论在划分的基础上推广到覆盖建立起来的,它更能合理地描述信息的不确定性、不准确性和不完整性。本文给出覆盖广义粗糙集理论的6种基本模型,讨论每种模型的覆盖上近似运算并给出相关性质,最终给出模型之间的相互关系,从而补充和完善了覆盖广义粗糙集理论的公理化体系。

Generalized rough sets theory based on covering is extended by the Pawlak rough sets theory,it can deal with uncertainty,imprecise and incomplete information more resonable.This paper presents six type models of generalized rough sets theory based on covering,discusses the upper approximation operation and its properties for every model,and shows the relations among these six type models in the final,which can be treated as supplement and development of generalized rough set theory based on covering.