Countability axioms in smooth fuzzy topological spaces

الملخص EN

The aim of this paper is to introduce the countability axioms in smooth fuzzy topological spaces (smooth fuzzy first countable, smooth fuzzy second countable and smooth fuzzy separable axiom) and try to find relations between them.

Such that we will prove the following: smooth fuzzy first countable axiom ↛smooth fuzzy second countable axiom ↚ smooth fuzzy separable axiom.

Also, we prove or disprove those concepts are hereditary or topological.