【摘要】 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)。更多还原

【Abstract】 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).更多还原