On soft topological spaces

Shabir, Muhammad; Naz, Munazza

doi:10.1016/j.camwa.2011.02.006

Cited by 780 publications

(883 citation statements)

References 15 publications

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“…Definition 8: 8 The intersection of two soft sets (F, A) and (G, B) over the common universe X is the soft set (H, C), where = ∩ and for all ∈ , ( ) = ( ) ∩ ( ).…”

Section: Definitionmentioning

confidence: 99%

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2018

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“…Definition 8: 8 The intersection of two soft sets (F, A) and (G, B) over the common universe X is the soft set (H, C), where = ∩ and for all ∈ , ( ) = ( ) ∩ ( ).…”

Section: Definitionmentioning

confidence: 99%

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2018

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“…In this section, we present the basic definitions and results of soft set theory which may found in earlier studies [1,2,3,14,15,16,17]. Throughout this paper, X refers to an initial universe, E is a set of parameters, ℘(X) is the power set of X, and A ⊆ E. Definition 2.1 A soft set F A over the universe X is defined by the set of ordered pairs…”

Section: Preliminariesmentioning

confidence: 99%

“…Lashin et al [13] generalized rough set theory in the framework of topological spaces. Recently, Shabir and Naz [14] introduced the notion of soft topological spaces which are defined over an initial universe with a fixed set of parameters. They also studied some of basic concepts of soft topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Soft Generalized Closed Sets with Respect to an Ideal in Soft Topological Spaces

Mustafa¹,

Sleim²

2014

Appl. Math. Inf. Sci.

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Abstract:A soft ideal on a non empty set X is a non empty collection of soft subsets of X with heredity property which is also closed under finite unions. The concept of soft generalized closed sets in soft topological spaces was introduced by Kannan [1]. In this paper, we introduce and study the concept of soft generalized closed sets with respect to a soft ideal, which is the extension of the concept of soft generalized closed sets.

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“…He successfully applied the soft set theory into many directions such as Theory of measurement, Riemann integration, Smoothness of functions, Game theory, Theory of Probability and Operations research, etc., Shabir M. and Naz M. [10] in 2011 introduced the notion of soft topological spaces. Akdag M. and Ozkan A.…”

Section: Introductionmentioning

confidence: 99%