计算机工程与应用2019，Vol.55Issue(6)：50-56,100,8.DOI:10.3778/j.issn.1002-8331.1805-0092
集值映射的拟阵结构及其与覆盖粗糙集的关系
Matroidal Structure Based on Set-Valued Mapping and Its Relationship with Covering Rough Sets
摘要
Abstract
In the topology theory, set-valued mapping is an important concept. According to the relationship of elements, a new type of matroidal structure is obtained due to set-valued mappings. Under this structure, some characteristics of this kind of matroid are investigated, such as independent sets, dependent sets, circuits, rank functions, closures and closed sets. At the same time, some equivalent characteristics of dual matroid with respect to this type of matroid are proposed, such as independent sets and circuits. In addition, based on the concept of neighborhood and approximation operator under the covering, the relationship between matroidal structure induced by set-valued mapping and rough set is established.关键词
粗糙集/覆盖/邻域/近似算子/拟阵Key words
rough sets/covering/neighborhood/approximation/matroid分类
信息技术与安全科学引用本文复制引用
齐美兰,李小南..集值映射的拟阵结构及其与覆盖粗糙集的关系[J].计算机工程与应用,2019,55(6):50-56,100,8.基金项目
核高基项目(No.2012ZX01039-004-41,No.2012ZX01039-003). （No.2012ZX01039-004-41,No.2012ZX01039-003）
