模糊化拟一致结构导出的拓扑  

Topologies Induced by a Fuzzifying Quasi-uniformity

作　　者：王冰[1] 庞斌[2] 

机构地区：[1]牡丹江师范学院理学院,黑龙江牡丹江157012 [2]北京理工大学数学学院,北京100081

出　　处：《模糊系统与数学》2012年第5期55-58,共4页Fuzzy Systems and Mathematics

基　　金：黑龙江省青年科学基金资助项目(QC2010044);黑龙江省教育厅青年学术骨干项目(1251G063)

摘　　要：从模糊化拟一致结构μ出发,分别导出了模糊化内部算子和模糊化闭包算子,进而导出了两个模糊化拓扑τμ和ημ.结果表明,若μ是模糊化拟一致结构,则τμ=ημ不一定成立;若μ是模糊化一致结构,则τμ=ημ成立。Based on a fuzzifying quasi-uniformity μ, a fuzzifying interior operator and a fuzzifying closure operator are induced. Moreover, two fuzzifying topologies τμ and ημ are induced. It is shown that τμ=ημ doesn＇t hold permanently and τμ=ημ, when ημ is a fuzzifying uniformity.

关 键 词：模糊化拟一致结构 模糊化内部算子 模糊化闭包算子 模糊化拓扑 

分 类 号：O189[理学—数学]