正负域覆盖广义粗集及其运算公理化  

Positive-negative Region Covering Generalized Rough Sets and its Operation Axiomization

作　　者：薛佩军[1] 管延勇[2] 

机构地区：[1]山东大学数学与系统科学学院,济南250100 [2]济南大学理学院,济南250022

出　　处：《计算机工程与应用》2005年第27期35-37,55,共4页Computer Engineering and Applications

基　　金：国家自然科学基金(编号:70271048);山东省自然科学基金(编号:Y2001G07)资助

摘　　要：针对覆盖广义粗集边界过于粗糙及运算公理化定义难以得到的不足,论文提出了正负域覆盖广义粗集的概念,讨论了覆盖正负域的性质。证明了正负域覆盖广义粗集对不明确的概念可给出更清晰的描述。通过引进覆盖等价的概念,给出了给定论域上任意集在不同覆盖下具有相同正负域覆盖广义粗集的充要条件。最后给出了正负域运算的公理化定义。A new covering generalized rough sets,positive-negative region covering generalized rough sets,is proposed and its properties are discussed.The boundary of covering generalized rough sets is reduced and the vague concepts can be described more clearly.The concept of equivalent covering is introduced.Based on the equivalent covering,the necessary and sufficient condition for different covering to generate the same positive-negative region covering generalized rough sets is given.Finally,a set of axioms is constructed to characterize the covering positive region and negative region approximation operation.

关 键 词：粗集 覆盖 正域 负域 

分 类 号：O159[理学—数学]