Weak forms of fuzzy n-open sets and fuzzysets in fuzzy topological spaces

الملخص EN

In this article we introduce a new type of fuzzy open sets in fuzzy topological spaces called fuzzy N-open sets and we prove that the family of all fuzzy N-open sets in a fuzzy topological space forms a fuzzy topology on X.

Also we use fuzzy N-open sets to define and study new types of fuzzy sets called weak fuzzy N-open sets and weak fuzzy - sets in fuzzy topological spaces.

Moreover we investigate the relation between the fuzzy open sets and each of fuzzy N-open sets, weak fuzzy N-open sets and weak fuzzy - sets.