ϕψ-CONTINUITY BETWEEN SOME CATEGORIES ISOMORPHIC TO L-FTOP

Abstract. In this paper, we shall prove that ϕψ-continuity between L-fuzzy topological spaces, induces ϕψ-continuity with respect to in-duced topological L-fqn systems. Also ϕψ-continuity, between L-fqn-spaces, induces ϕψ-continuity with respect to induced L-fuzzy topologies. ϕψ-continuity between topological L-fqn spaces, induces ϕψ-continuity beween some objects from LaQN, and ϕψ-continuity between some objects from LaTQN induces ϕψ-continuity between L-fqn spaces. 1