Decomposition of Hyper Spaces of Soft Sets

Year 2017, Volume: 7 Issue: 1, 251 - 257, 31.03.2017

Alkan Özkan

Abstract

In this paper, frstly, we defne two new hyperspaces of soft sets called co-compact and co-Lindelöf
topological spaces and obtain some properties of them. Secondly, by use these topological spaces we defne the
C-continuous and L-continuous of soft multifunction and obtain some characterization of them. Finally, we give
the decomposition of these topological spaces with Vietoris soft topological spaces.

Keywords

Soft continuity, soft hyperspaces, soft multifunction, soft sets, soft topological spaces

Esnek Kümelerin Hiper Uzaylarının Ayrıştırılması

Abstract

Bu makalede ilk olarak, esnek ko-kompakt ve esnek ko-Lindelöf topolojik uzaylar olarak isimlendirilen
esnek kümelerde iki yeni hiper uzay tanımladık ve bazı özelliklerini elde ettik. İkinci olarak, bu uzayları kullanarak
esnek küme değerli dönüşümlerin C-sürekliliği ve L-sürekliğini tanımladık ve bazı karakterizasyonlarını elde
ettik. Son olarak, bu iki uzayın birbiriyle ve bir diğer hiper uzay olan Vietoris topolojik uzay ile karşılaştırmasını
verdik

Keywords

Esnek hiper uzay, esnek küme, esnek küme değerli dönüşüm, esnek süreklilik, esnek topolojik uzay

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