Perfect L-fuzzy topogenous space, L-fuzzy quasi-proximities and L-fuzzy quasi-uniform spaces.

In this paper, we introduce the notions of L-fuzzy semi-topogenous order, L-fuzzy topogenous (cotopogenuous) space, L-fuzzy topology (cotopology),L-fuzzy quasi-uniform space and theL-fuzzy quasi-proximity space. We study some relationships between previous spaces. The notions of their continuities are investigated. [ABSTRACT FROM AUTHOR]