Fuzzy ∧ e sets and continuity in fuzzy topological spaces

We introduce a new class of fuzzy open sets called fuzzy ∧ e sets which includes the class of fuzzy e-open sets. We also dene a weaker form of fuzzy ∧ e sets termed as fuzzy locally ∧ e sets. By means of these new sets, we present the notions of fuzzy ∧ e continuity and fuzzy locally ∧ e continuity which are weaker than fuzzy e-continuity and furthermore we investigate the relationships between these new types of continuity and some others.