Net-theoretical convergence in (L,M)-fuzzy cotopological spaces

作者：Yang, Xiao-Fei; Li, Sheng-Gang^*

来源：Fuzzy Sets and Systems, 2012, 204: 53-65.

DOI：10.1016/j.fss.2012.01.002

• Topology
• Category
• Isomorphism
• (Topological) (L,M)-fuzzy convergence space
• (L,M)-fuzzy cotopological space
• (L,M)-fuzzy closure space

In this paper, we introduce the notion of topological (L,M)-fuzzy convergence structure and prove that, for a given set, there exists a bijection between the set of all topological (L,M)-fuzzy convergence structures and the set of all (L,M)-fuzzy cotopologies on this set. This induces an isomorphism between the category of topological (L,M)-fuzzy convergence spaces and the category of (L,M)-fuzzy cotopological spaces.

• 出版日期2012-10-1
• 单位陕西师范大学