On soft topological spaces

By Muhammad Shabir, Munazza Naz. Computers and Mathematics with Applications, 2011

1,164 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Management Science and Operations Research

View Paper: https://www.semanticscholar.org/paper/46379cd2b509d7dc7f03dc57aa25a49571fd1210

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In Computational Theory and Mathematics

In Management Science and Operations Research

Citations in the corpus

Decompositions of Some Types of Supra Soft Sets and Soft Continuity (2014, background): “6 [21] Let ) , ( E F be a soft set over X and X x .”
On soft topological space via semiopen and semiclosed soft sets (2012, background): “[3] Let τ be a collection of soft sets over a universe U with a fixed set A o f parameters, thenτ ⊆ S S(U)A is called a soft topology on U with a fixed set A if (i) ΦA,UA belongs toτ; (ii) the union of any number of soft sets in τ belongs toτ; (iii) the intersection of any two soft sets in τ belongs”
Sum of Soft Topological Spaces (2020, background): “[5,7] Let (ξ, A) be a soft set over Y and y ∈ Y.”
SOFT GENERALIZED CLOSED SETS IN SOFT TOPOLOGICAL SPACES (2012, background): “The notions of soft open sets, soft closed sets, soft closure, soft interior points, soft neighborhood of a point and soft separation axioms are also introduced and their basic properties are investigated by them [10].”
On soft linear spaces and soft normed linear spaces (2013, methodology): “10 [19] Let (F,E) and (G,E) be two soft sets over X.”
A Novel Approach towards Bipolar Soft Sets and Their Applications (2020, background): “…Sezer and Atag¨un [9] originated soft vector spaces, Ali et al. [10] represented graphs based on neighbourhoods and soft sets, Shabir and Naz [11] opened the notion of soft topological spaces, Sezer et al. [12] worked on soft intersection semigroups, Ali et al. [13] initiated the notion of…”
Soft set theory and topology (2014, background): “In 2011 and 2012 few researches (see, for example, [3], [6], [9], [16], [22], [24]) introduced and studied the notion of soft topological spaces which are defined over an initial universe with a fixed set of parameters.”
Soft Regular Generalized Closed Sets in Soft Topological Spaces (2014, background): “Shabir and Naz [3] defined soft topology by using soft sets and studied some basic notions of soft topological spaces such as soft open and closed sets, soft subspace, soft closure , soft neighbourhood of a point, soft separation axioms.”
Soft Semi Compactness via Soft Ideals (2014, background): “[28] The difference between two soft sets ( F , E ) and ( G , E ) over the common universe X , denoted by ( F , E ) − ( G , E ) is the soft set ( H , E ) where for all e ∈ E , H ( e ) = F ( e ) − G ( e ) .”
operation and decompositions of some forms of soft continuity in soft topological spaces (2013, background): “Recently, in 2011, Shabir and Naz [18] initiated the study of soft topological spaces.”
Partial soft separation axioms and soft compact spaces (2018, background): “[19] Let (X, τ,A) and (Y, θ,B) be two STSs.”
On Soft Topological Spaces (2013, background): “In 2011 and 2012 few researches (see, for example, [ 3], [6], [10], [17], [23], [24], [26]) introduced and studied the notion of soft topological spaces which are defined over an initial universe with a fixed set of parameters.”
On Continuity of Soft Mappings (2015, background): “Let (F,E), (G,E) ∈ S(X,E), then (1) ((F,E)∪̃(G,E))c = (F,E)c∩̃(G,E)c [23].”