扩展(拓扑)剩余格与Rough集  

The extended(topological) residuated lattice and the Rough set

作　　者：马欢[1] 张小红[1] 

机构地区：[1]宁波大学数学系,浙江宁波315211

出　　处：《山东大学学报（理学版）》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)

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.

关 键 词：扩展剩余格 ROUGH集 拓扑扩展剩余格 滤子 

分 类 号：O153.1[理学—数学] O141.1[理学—基础数学]