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.
出处
《数学的实践与认识》
CSCD
北大核心
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)
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
pointwise fuzzifying quasi-uniformity
fuzzifying interior operator
fuzzifyingclosure operator
fuzzifying topology
