S-粗集的副集α-生成粒度  

α-Generation granulation degree of assistant sets of S-rough sets

作　　者：王洪凯[1] 胡海清[1] 

机构地区：[1]山东大学数学与系统科学学院,山东济南250100

出　　处：《山东大学学报（理学版）》2004年第3期32-36,41,共6页Journal of Shandong University(Natural Science)

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

摘　　要：利用S-粗集理论,给出单向副集As(Xσ)的α-生成粒度,双向副集As(X*)的α-生成粒度等概念;提出单向副集As(Xσ)的α-生成粒度特性定理,双向副集As(X*)的α-生成粒度特性定理;给出副集α-生成粒度的存在背景及在风险投资决策估计中的应用.Based on S-rough sets theory, the concepts of α-generation granulation degree of one direction assistant sets As( Xσ) and α- generation granulation degree of two direction assistant sets As(X*) are proposed. α-Generation granulation degree characteristic theorem of one direction assistant sets As( Xσ) and a- generation granulation degree characteristic theorem of two direction assistant sets As(X*) are obtained. The existing background and its applications of investment decision estimation of α- generation granulation degree of assistant sets are given.

关 键 词：S-粗集 副集 As(X°)的α-生成粒度 As(X°)的α-生成粒度定理 As(X^＊)的α-生成粒度 As(X^＊)的α-生成粒度定理 

分 类 号：O159[理学—数学]