不完备信息系统可变粗糙集模型与性质

Variable Rough Set Model and Its Properties for Incomplete Information System

不完备信息系统粗糙集拓展模型是近几年来粗糙集理论研究的重要内容.该文以基于相容关系、非对称相似关系及限制容差关系的粗糙集模型为特例,提出了基于一般二元关系的可变粗糙集模型,它是基于各种具体的二元关系(如相容关系、非对称相似关系、限制容差关系、量化容差关系等)粗糙集模型的推广,也是不完备信息系统变精度粗糙集模型的一般情形.文中还进一步研究了不完备信息系统可变粗糙集模型的性质.

Research on rough set theory has been focused on rough set extended models for incomplete information system for recent years. The general binary relation - based variable rough set model is proposed on the bases of rough set models based on tolerance relation, non - symmetrical similarity relation and limited - tolerance relation, which is the generalization of rough set modeLs based on various of special binary relations （e.g. tolerance relation, non- symmetrical similarity relation, limited tolerance relation, valued tolerance relation and etc. ）, and of variable - precision rough set model for incomplete information system. The properties of variable rough set model for incomplete information system are further studied in this paper.