摘要
以扩展剩余格的广义Rough集为背景,引入拓扑扩展剩余格的概念,研究了它的滤子理论和扩展剩余格中的N-滤子和优拓扑剩余格的v-滤子,并由这些滤子构建了相应的商代数结构。
Based on the extended residuated lattice of an extended Rough set, the concept of the topological extended residuated lattice is introduced and its filter is studied. Also, the N-filter of the extended residuated lattice and the v-filter of well topological residuated lattice are also studied, and the quotient algebraic structures are constructed corresponding to these filters.
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2010年第9期27-31,共5页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(60775038)
宁波市自然科学基金资助项目(2009A610078)
关键词
扩展剩余格
ROUGH集
拓扑扩展剩余格
滤子
extended residuated lattice
Rough set
topological extended residuated lattice
filter
