L-模糊拓扑上的内部算子

Interior Operator on L-fuzzy Topology

根据L-模糊拓扑自身的特点,在L-模糊拓扑空间中引入了内部度的定义,详细讨论了它的性质;提出了L-模糊拓扑上的内部算子的概念,论证了L-TF IN(拓扑的L-模糊内部空间和其上的连续映射构成的范畴)同构于L-FTOP(L-模糊拓扑空间和其上的连续映射构成的范畴)。

In this paper, the concepts of interior in L-fuzzy topological spaces and interior operator on L-fuzzy topology are introduced based on L-fuzzy topology itself. The properties of interior in L-fuzzy topological spaces are studied. Farther, it is proved that L-TFIN （the category of topological L-fuzzy interior spaces and continuous mappings between L-fuzzy interior spaces） is isomorphic to L-FTOP （the category of L-fuzzy topological spaces and L-fuzzy continuous mappings）.