L—fuzzy拓扑空间中的同胚定义

On definitions of homeomorphisms in L-fts

以反例表明现有LF拓扑理论中诸同胚概念均存在局限性,进而给出一种新的同胚定义。该种同胚与其它概念相和谐,且能充分反映LF拓扑空间的结构特点。

Some counterexamples are given to show that definitions of homeomorphisms emerged up to now in L-fts all have their own limitations, and so another new definition is given. This definition is compatible with the other concepts in L-fts and sufficiently characterizes the feature of an L-fts.