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.
出处
《烟台大学学报（自然科学与工程版）》
CAS
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)
