α－F格与Fuzzy拓扑空间的模糊化

α-F lattices and fuzzification of fuzzy topological spaces

基于模糊逻辑的思想，在一种新的Ｆｕｚｚｙ子集的邻属关系的基础上，证明了（ＩＸ，∧ａ，∨ａ，）为α－Ｆ格；定义了Ｆｕｚｚｙ拓扑空间（ＩＸ，δ）的模糊化，引入开（闭）度函数的概念，证明了τａ是一Ｆ拓扑；讨论了模糊化Ｆ拓扑空间中新的邻域与远域概念以及它们的关系．

Based on the idea of fuzzy logic, it is proved that (IX, ∧a,∨a,)is an α-F lattice and the fuzzification of fuzzy topological space (IX,δ) is introduced by using a new neighborhood relation for fuzzy subsets. The idea of open degree function is given and it is proved that τa is an F topology. The new idea of neighborhood and remote neighborhood of fuzzification topological space and their relations are studied.