定义了LX上的M-滤子,研究了LX上的M-滤子的交、并、乘积等运算,证明了(L,M)-fuzzy收敛空间范畴是一个拓扑范畴并给出了始结构与终结构的构造,在此基础上给出了乘积(L,M)-fuzzy收敛空间、余积(L,M)-fuzzy收敛空间以及商(L,M)-fuzzy收敛空间的概念。
In this paper, M-filters on Lx are introduced, and operations of intersection, join, and product of M-filters on Lx are studied. It is proved, by constructing the initial structures and the final structures, that the category of (L,M)-fuzzy convergence spaces is a topological construct. Based on this, the notions of product (L,M)-fuzzy convergence space, coproduct (L,M)-fuzzy convergence space and quotient (L, M)-fuzzy convergence space are defined.