中文摘要：

通过将L-模糊弱邻域算子的概念变形到（L,M）-闭包模糊邻域系,给出（L,M）-闭包模糊邻域系和（L,M）-闭包系统的关系,并研究（L,M）-闭包模糊邻域空间与连续映射构成范畴的终结构和初始结构.最后给出该范畴的余积和乘积.

英文摘要：

The notion of L-fuzzy weak neighborhood system was firstly transformed to an（L,M）-closure fuzzy neighborhood system,then the relationship betweeen（L,M）-closure fuzzy neighborhood systems and（L,M）-closure system was expounded,and the initial structures and the final structures of the category（L,M）-closure fuzzy neighborhood spaces and their fuzzy continuous mappings were studied.At last,as an application of the obtained results,coproducts and products of this category were described.