Author/Authors :
mahmood, sabiha i. al-mustansiriyah university - college of science - department of mathematics, Iraq
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 (X t~,E) forms a soft topology t~n 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 D ~ n sets.
Keywords :
soft N , open set , soft α , N , open set , soft pre , N , open set , soft b , N , open set , soft β , N , openset , soft D ~ , set , soft N~ D n , set , soft N~D αn , set , soft D~ pre N , set , soft D~b , N D , set , and soft D~b , N , set.
