基于拟序二元关系的粗糙集模型  

A generaliaed model of rough set theory based on quasi order relation

作　　者：蒲义书[1] 陈露[1] 蒲晨[2] 

机构地区：[1]陕西理工学院数学系,陕西汉中723000 [2]西北工业大学继续教育学院,陕西西安710047

出　　处：《宝鸡文理学院学报（自然科学版）》2008年第1期1-3,共3页Journal of Baoji University of Arts and Sciences(Natural Science Edition)

摘　　要：目的建立一种基于拟序关系的推广的粗糙集模型。方法按照张文修等人在《粗糙集理论与方法》(科学出版社,2001.)中利用一般二元关系R推广Pawlak粗糙集模型的方法进行研究。结果讨论和建立在拟序关系R下的粗糙集模型,并研究了这种粗糙集模型的代数性质。结论给出了这种粗糙集模型成为Pawlak粗糙型模型的充要条件。Aim To establish a generalized model of rough set theory based on quasi order relation. Methods Based on the method of Zhang wen-xiu,et al in Rough Set Theory and Method , which was published by Science Press, Beijing, 2001, and it is used that the model of the Pawlak rough set was extended by means of generalized binary relation. Results The model of rough set based on the quasi order relation has been established and discussed. Meanwhile, the algebraic properties of the model has been studied. Conclusion The necessary and sufficient condition that the model becomes the model of the Pawlak rough set has been given.

关 键 词：粗糙集 拟序关系 下近似算子 上近似算子 

分 类 号：O159[理学—数学]