On Weak Soft N-Open Sets and Weak Soft DN ~ - Sets in Soft Topological Spaces

Abstract

The main purpose of our work is to introduce a new general type of soft open sets in soft topological spaces, namely, soft N-open sets and we prove that the set of each soft N-open sets in a soft topological space forms a soft topology on X which is soft finer than . Furthermore we use soft N-open sets to define and study new classes of soft sets, namely, weak soft N-open sets and weak soft - sets in soft topological spaces. Moreover we investigate the relation between the soft N-open sets and each of weak soft N-open sets and weak soft - sets.