模糊化拓扑空间的刻画  

Characterization of L-fuzzifying topological spaces

作　　者：杨小飞[1] 

机构地区：[1]西安工程大学理学院,陕西西安710048

出　　处：《山东大学学报（理学版）》2016年第2期114-118,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11501435);陕西省教育厅资助项目(2013JK0568);西安工程大学博士科研启动费(BS1319)

摘　　要：给出模糊化拓扑滤子收敛空间的定义,证明了模糊化拓扑滤子收敛空间和模糊化拓扑空间在范畴意义下是同构的,并且讨论了和其它极限结构的关系。模糊化拓扑滤子收敛空间和模糊化拓扑网收敛空间是匹配的。The concept of fuzzifying topological filter-convergence spaces is introduced,and then it is proved that fuzzifying topological filter-convergence spaces are categorically isomorphic to L-fuzzifying topological spaces. The relationship between fuzzifying topological filter-convergence spaces and other limit structures is established. Finally,it is shown that fuzzifying topological filter-convergence theory is compatible with fuzzifying topological net-convergence theory.

关 键 词：模糊化拓扑空间 模糊化拓扑滤子收敛空间 模糊化拓扑网收敛空间 同构 

分 类 号：O189.1[理学—数学]