Sequential definitions of fuzzy continuity in fuzzy spaces

Abstract

Cakalli extended the concept of G-sequential compactness to a fuzzy topological group and introduced the notion of G-fuzzy sequential compactness, where G is a function from a suitable subset of the set of all sequences of fuzzy points in a fuzzy first countable topological space X: The aim of this paper is to investigate whether an idea like the G-fuzzy continuity can be introduced and consequently can be extended to a more general approach to fuzzy continuity in fuzzy topological spaces. In this article, we introduce the concepts of G-fuzzy sequential continuity and G-fuzzy sequential closedness in a fuzzy topological space and give some characterization theorems.