L-fuzzy Locale理论与分配格的L-fuzzy拓扑表示

L-fuzzy Locale Theory and a L-fuzzy Topological Representation for Distributive Lattice

中文关键词:  L-fuzzylocale  满层L-fuzzy拓扑空间

中文摘要:

      首先文中引入了Ｌ-ｆｕｚｚｙｌｏｃａｌｅ范畴，并证明了该范畴与满层Ｌ-ｆｕｚｚｙ拓扑空间范畴的关系类似于ｌｏｃａｌｅ与拓扑空间的联系．其次，文中建立了分配格的ｌｏｃａｌｅ式ｆｕｚｚｙＳｔｏｎｅ表示，并且与经典结果一致，任一分配格的Ｌ-ｆｕｚｚｙｌｏｃａｌｅ表示的点空间就是它的Ｌ-ｆｕｚｚｙ谱空间．

英文摘要:

      The category of L-fuzzy locaks is introduced, and it is proved that the relation be-tween this category and the category of Stratified L-fuzzy topological spaces is analogousto that between locales and topological spaces. The localic L-fuzzy version of Stone’srepresentation theorem for distributive lattices is established, and it is proved that, inparalleI to classical results, the point space of the localic fuzzy Stone’s representation of adistributive lattice coincides with its L-fuzzy spectral space.