Soft b-open sets and soft b-continuous functions

Akdağ, Metin; Özkan, Alkan

doi:10.1007/s40096-014-0124-7

Cited by 53 publications

(65 citation statements)

References 9 publications

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“…In [14] I. Zorlutana et al, defined and discussed soft pu-continuous mappings. M. Akdag et al [15] have studied soft b-open sets and soft b-continuous functions, further V. Seenivasan et al [16] introduced soft gsg-closed sets. I. Arockiarani et al [17] studied the soft g  -closed sets and soft gs  -closed sets in soft topological spaces.…”

Section: Introductionmentioning

confidence: 99%

Some Properties of Soft <i>β</i>-Connected Spaces in Soft Topological Spaces

Benchalli

Patil

Dodamani

2017

IJPMS

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Abstract. Soft set theory is a newly emerging tool to deal with uncertain problems and has been studied by researchers in theory and practice. In this paper, we investigated the properties and characterizations of soft -connected spaces in soft topological spaces. We anticipate that the results in this paper can be stimulated to the further study on soft topology to accomplish genenral framework for the practical life applications.

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Section: Introductionmentioning

confidence: 99%

Some Properties of Soft <i>β</i>-Connected Spaces in Soft Topological Spaces

Benchalli

Patil

Dodamani

2017

IJPMS

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“…Arockiarani and Arokialancy [10] described soft β -open sets and continued to study weak forms of soft open sets in soft topological space. Consequently, Akdag and Ozkan [6] described soft α-open (soft α-closed) sets. Furthermore, Through entrenching the notions of fuzzy sets, numerous applications of the soft set theory have been enlarged and varied [3,13,14,15,18,19,20,21,22,24].…”

Section: Introductionmentioning

confidence: 99%

“…Zorlutuna et al first studied the compactness for soft topological spaces [11]. Akdag and Ozkan studied the concept of b -open sets in soft settings [7]. The aim of this paper is to mention soft b-compact, soft b-closed spaces and soft generalized b-compact spaces using soft finite intersection property.…”

Section: Introductionmentioning

confidence: 99%

Soft b-compact spaces

Özkan¹,

Akdağ²,

Erol³

2016

ntmsci

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Abstract:In this paper, a new class of generalized soft open sets in soft generalized topological spaces as a generalization of compact spaces, called soft b-compact spaces, is introduced and studied. A soft generalized topological space is soft b-compact if every soft b-open soft cover of F E contains a finite soft subcover. We characterize soft b-compact space and study some of their basic properties.

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“…In Example 1 of [1], the authors concluded that ðX; s; EÞ is a soft topological space over the universe X ¼ fh 1 ; h 2 ; h 3 ; h 4 g and the set of parameters E ¼ fe 1 ; e 2 ; e 3 g. Actually, their conclusion is not correct where ðF 1 ; EÞ, ðF 2 ; EÞ 2 s leads to ðF 1 ; EÞ\ðF 2 ; EÞ 6 2 s and ðF 1 ; EÞ[ðF 2 ; EÞ 6 2 s. Also, this is achieved for another soft sets like ðF 1 ; EÞ and ðF 14 ; EÞ. As a result of this flaw, Examples 2, 6, 7 and 8 in [1] are not correct.…”

mentioning

confidence: 99%

“…As a result of this flaw, Examples 2, 6, 7 and 8 in [1] are not correct. Examples 1 and 2 achieve the goal of Examples 1 and 2 in [1].…”

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confidence: 99%