Defining and investigating new soft ordered maps by using soft semi open sets

Abstract

Here, we employ soft semi open sets to define new soft ordered maps, namely soft x-semi continuous, soft x-semi open, soft x-semi closed and soft x-semi homeomorphism maps, where x denotes the type of monotonicity. To show the relationships among them, we provide some illustrative examples. Then we give complete descriptions for each one of them. Also, we investigate “transmission” of these maps between soft and classical topological ordered spaces.

Soft C-continuity and soft almost C-continuity between soft topological spaces

“…Soft topological concepts were established by Shabir and Naz to be equivalent to their counterparts in classical topology, which motivated and supported researchers in the field to continue in this direction. Numerous contributions have been made to the exploration of topological notions and concepts in soft environments since the development of soft topology [8] , [9] , [10] , [11] , [12] , [13] , [14] , [15] , [16] , [17] , [18] , [19] , [20] , [21] , [22] , [23] , [24] , [25] , [26] , [27] , [28] , [29] , [30] .…”

Boolean Algebra of Soft Q-Sets in Soft Topological Spaces

“…Shabir and Naz [7] initiated soft topology, which is a new branch of topology that combines soft set theory and topology. Since then, numerous studies have appeared in soft topology [8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and others, and substantial contributions can still be made. A subset S of a given topological space is said to be a Q-set if the interior and closure operators of this subset are commute.…”

Between the Classes of Soft Open Sets and Soft Omega Open Sets

“…Shabir and Naz [11] initiated soft topology, which is a new branch of topology that combines soft set theory and topology. Since that time, the generalization of topological concepts in soft topology has become the focus of many researchers, such as soft compact [12], soft connected [13], soft paracompact [13], soft extremely disconnected [14], soft Menger spaces [15], soft separable spaces [16], soft separation axioms [17][18][19], soft metric spaces [20][21][22], soft homogeneous spaces [23,24], and soft maps [25,26], and substantial contributions can still be made.…”