第六型覆盖粒计算模型  

The Sixth Covering-Model of Granular Computing

作　　者：王国朋[1] 李令强[1] 孟广武[1] 秦雯[2] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]南开大学计算机与控制工程学院,天津300071

出　　处：《烟台大学学报（自然科学与工程版）》2013年第4期250-254,共5页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：新疆维吾尔自治区普通高校重点学科经费资助(21012ZDXK25)

摘　　要：通过覆盖粗糙集上的邻域关系定义了一种新的Zoom-in算子,并讨论了它的性质及其与已有的Zoom-in算子之间的关系.讨论了新定义的Zoom-in算子与Zoom-out算子之间的不同复合而产生的不同的近似算子的性质.进一步建立了这些算子与拓扑空间及Galois联络之间的联系.特别地,证明了2个算子在论域上复合得到的近似算子,恰是基于覆盖的第六型粗糙近似算子.A new Zoom-in operator is defined based on the neighborhood limited to cover-based rough sets. The property and the relationship with the existing Zoom-in operators are discussed. The combination operators formed by the Zoom-in and Zoom-out operators on the （granulated） universe of discourse are presented, and their relation- ships to covering rough set, topological space and Galois connection are discussed. In particular, it is proved that a pair of approximation operators on the universe of discourse obtained by the combination of the Zoom-in operator and Zoom-out operator, are precisely the sixth type of covering-based lower and upper approximation operators.

关 键 词：粒计算 粗糙集 覆盖 Zoom-in Zoom-out 

分 类 号：O189.1[理学—数学]