极小T_3LF拓扑空间(英文)

MINIMAL T 3 L FUZZY TOPOLOGICAL SPACES

对任意完全分配格Ｌ和非空集Ｘ，本文证明了ＬＸ上极小Ｔ３ＬＦ余拓扑的存在性以及这种余拓扑的特征定理。

Let L be a complete and completely distributive lattice,and X a nonempty set.Then L X is a completely distributive complete lattice,and T 3LX ,the set of all T 3 co topologies on L X ,is a poset ordered by conclusion relation of sets.The author showed the existence and a characterization theorem of the minimal elements of T 3LX .The author also presented a method for constructing a T 3 co topology strictly weaker than a given nonminimal T 3 co topology on L X .