Liu Ying-Ming

TL;DR: In this paper, a theory of neighborhood structures and theorems in the theory of Moore-Smith's convergence are generalized to fuzzy topological spaces, including product spaces and quotient spaces.

TL;DR: It is shown that the fuzzy order homomorphism possesses a nicely local structure and is established a necessary and sufficient condition under which the Fuzz function is a Zadeh type function.

TL;DR: The category of L-fuzzy locales is introduced and it is proved to play the same role with respect to stratified L- fuzzy topological spaces as the locales play for topological Spaces.

TL;DR: In this article, the authors generalize the Hahn-Dieudonne-Tong Insertion Theorem, a classical result on semicontinuous functions, to the case that the ranges are a certain kind of lattices L. The success of the method is based on the study in depth on the topological relations among the stratifications.