点式模糊化拟一致结构诱导的双拓扑  

Topologies Induced by a Fuzzifying Quasi-uniformity

作　　者：王冰[1,2] 孟凡友[1] 

机构地区：[1]牡丹江师范学院理学院,黑龙江牡丹江157011 [2]北京理工大学数学学院,北京100081

出　　处：《数学的实践与认识》2013年第13期221-224,共4页Mathematics in Practice and Theory

基　　金：黑龙江省自然科学基金面上项目(A201209);牡丹江师范学院省级重点创新预研项目(SY201223)

摘　　要：引入点式模糊化拟一致结构u,并由其分别导出了模糊化内部算子和模糊化闭包算子,进而诱导两个模糊化拓扑(?)和η_u.结果表明,若u是点式模糊化拟一致结构,则T_u=η_u不一定成立;若u是点式模糊化一致结构,则(?)=η_u成立.Based on a pointwise 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 μ is a pointwise fuzzifying uniformity.

关 键 词：点式模糊化拟一致结构 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]