中文摘要：

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。

英文摘要：

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.