严格局部自反关系下的广义粗糙集  

Strong partial reflexive binary relation-based generalized rough set

作　　者：马周明[1] 李进金[1] 

机构地区：[1]漳州师范学院数学与信息科学系,福建漳州363000

出　　处：《计算机工程与应用》2011年第29期154-157,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(the National Natural Science Foundation of China under Grant No.10671173;No.10971186)

摘　　要：经典粗糙集是在等价关系基础上建立的一类不确定性理论方法。研究一般二元关系下的广义粗糙集,不仅可以拓宽粗糙集理论的应用范围,而且也能从一定的角度进一步阐释经典粗糙集的基本性质。在考虑自反粗糙近似算子的基础上,提出了严格局部自反关系的定义,讨论了严格局部自反关系下广义粗糙集的性质,给出了其公理化特征。结合自反粗糙近似算子,研究了一般二元关系下广义粗糙集中的精确集,得出了一些重要的结论。The classical rough set theory is an uncertain approach, which is based on the equivalence relation.The generalized rough set is researched based on a binary relation,which is not only widening application but also interpretation ＇of the classical rough set.On the basis of considering reflexive approximate operators,this paper presents the definition of strong par, tial reflexive binary relation,discusses the properties of corresponding generalized rough set, gives its axiomatic charaeteriza- tionslCombining the strong partial reflexive approximate operator, accurate sets are investigated in the generalized rough set based on a binary relation.Some important conclusions are achieved.

关 键 词：粗糙集 等价关系 严格局部自反关系 公理特征 精确集 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]