Soft ditopological spaces

Dizman, Tuğbahan Şimşekler; Šostak, Alexander; Yüksel, Şaziye

doi:10.2298/fil1601209d

Cited by 6 publications

(8 citation statements)

References 26 publications

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“…This brings about the natural question of wheather or not there is any additional topology on the soft set all possible itineraries. Consequently, soft ditopological (SDT) space * Sorumlu Yazar (Corresponding Author) e-posta : g.senel@amasya.edu.tr on a soft set was introduced by Dizman et al [11] and Şenel [12] independently. In the notion of soft ditopology [12], the concept of SDT-space on a soft set consists of with two structures on it -a soft topology and a soft subspace topology.…”

Section: Introductionmentioning

confidence: 99%

Characterization of Soft Sets by  ̃-soft Operations

Şenel¹

2018

Journal of Polytechnic

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The purpose of this paper is to introduce new structures of -soft sets in soft ditopological (SDT) spaces and study -soft operations such as -soft interior, -soft closure, -soft boundary and -soft exterior. This study is therefore organized the analogies between the concepts of -soft operations, on the other, are strongly emphasized. Moreover, a result which play a pivotal role in the characterization of -soft open sets is found out. Esnek Kümelerin -esnek Operasyonlarla Tanımlanması ÖZBu araştırmanın amacı, esnek 3-lü topolojik (SDT) uzaylarda esnek kümelerin yeni yapılarını tanıtmak ve -esnek iç, -esnek kapanış, -esnek komşuluk ve -esnek dış gibi -esnek işlemleri incelemektir. Bu yüzden bu çalışma bir taraftan -esnek işlem tanımları arasındaki benzerlikleri düzenlerken, bir taraftan da işlem ilişkilerini güçlü bir şekilde vurgular. Dahası, -esnek açık kümelerin tanımlanmasında çok önemli bir rol oynayan bir sonuç da bulunmuştur.Anahtar Kelimeler: Esnek küme, -esnek açık(kapalı)küme, -esnek komşuluk, -esnek iç(dış), -soft kapanış(sınır), esnek topoloji, esnek 3-lü topoloji.

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Section: Introductionmentioning

confidence: 99%

Characterization of Soft Sets by  ̃-soft Operations

Şenel¹

2018

Journal of Polytechnic

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“…In view of this and also considering the importance of topological structure in developing soft set theory, I have introduced in this paper a notion of soft ditopological subspaces. In this connection, it is worth mentioning that some 210 GÜZIDEŞENEL signi…cant works have been done on soft ditopological spaces (SDT -Spaces) by Dizman [6] and Senel [16].…”

Section: Introductionmentioning

confidence: 99%

The relation between soft topological space and soft ditopological space

Şenel¹

2018

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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Abstract. Conditions related to bounds on the relations between soft spaces appear to be rare in the literature. In this paper, I study the notion of soft ditopology relates to the soft topology. Firstly, the soft ditopology via soft set theory is developed by de…ning soft ditopological subspace. Secondly, properties concerning to soft interior and soft closure are presented in soft ditopological subspace. In conclusion, soft subspaces of soft topology and soft ditopology being coincident have been proved, whence it is readily inferred that soft ditopological subspace can be obtained from soft topological subspace.

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“…A study of soft bitopological spaces is a generalization of the study of soft topological spaces. And in 2016, The Theory of Soft Ditopological Spaces was presented by G. Senel [19], also T. S. Dizman, A. Sostak and S. Yuksel presented the Soft Ditopological Spaces in the same year [20].…”

Section: Introductionmentioning

confidence: 99%