Soft Semi Local Functions in Soft Ideal Topological Spaces

Abstract

In this paper, we define a soft semi local function (F, E) ∗s ( ˜I, τ ) by using semi open soft sets in a soft ideal topological space (X, τ, E, ˜I). This concept is discussed with a view to find new soft topologies from the original one, called ∗s-soft topology. Some properties and characterizations of soft semi local function are explored. Finally, the notion of soft semi compatibility of soft ideals with soft topologies is introduced and some equivalent conditions concerning this topic are established here.

Soft ideal topological spaces

“…Since F u e ∈ Î0 (F u e ∈ Îs ) for any (e, u) ∈ E × U , then Theorem 10, 29, Corollary 5, 14 of Al Ghour and Worood Hamed (2020) follow from Lemma 4 (2a). Ghour and Worood Hamed (2020) follow directly from results above: Theorem 35, see Lemma 4 (5), Theorem 36, see Lemma 4 (3), Theorem 37, see Remakr 5 (6), Lemma 4 (5), Theorem 38, see Lemma 5 (3), Corollary 16, see Lemma 4 (5), Remark 1 (1), Theorem 39, see Corollary 3 (1), Lemma 4 (5), Theorem 40, see Lemma 4 (8), Theorem 41, see Lemma 4 (7), Corollary 17, see Lemma 5 (3), Theorem 45, see Corollary 7,Lemma 4 (4).…”

Strictly Wider Class of Soft Sets via Supra Soft δ-Closure Operator

“…The definitions of soft ideal presented by Kandil et al [19], in 2014. Theses approves have been investigated by using the concepts of soft semi-open sets [20,21]. In 2018, applications in medical [22] via certain soft ideal rough topological spaces have been presented by Abd El-latif.…”