ON δ-ALMOST INDUCED L-FUZZY SUPRA TOPOLOGICAL SPACE AND δ-s INDUCED FUZZY SUPRA TOPOLOGICAL SPACE

摘要

The aim of this paper is to introduce and investigate two new classes of functions namely Scott-δ-almost continuous function and δ-s-lower semi continuous function as a generalization of s-lower semi continuous function introduced in [4]. Various properties and some characterization theorems are studied. Scott-δ-almost continuous function turn out to be the natural tool for studying the δ-almost induced L-fuzzy supra topological space and that of the δ-s induced fuzzy supra topological space is δ-s-lower semi continuous function. We also discuss the connections between some separation and covering properties of an ordinary topological space and its corresponding δ-almost induced L-fuzzy supra topological space.