A Note on Fuzzy Soft Ditopological Spaces

Year 2019, , 658 - 667, 31.08.2019

Tuğba Han Dizman

https://doi.org/10.18185/erzifbed.472162

Abstract

In this
study, we define fuzzy soft ditopological spaces as the generalization of soft
ditopological spaces defined by Simsekler et. al.  (2016). 
Fuzzy soft ditopological space is a combination of fuzzy soft
topological and fuzzy soft cotopological spaces which are defined by two
independent structures fuzzy soft open and fuzzy soft closed sets. Also we give
fuzzy soft -continuity
in fuzzy soft topology , fuzzy soft -continuity
in fuzzy soft cotopology and by using these two types of continuity we finally
define the fuzzy soft continuity in a fuzzy soft ditopology.

Bulanık Esnek Ditopolojiler Üzerine Bir Çalışma

Abstract

Bu çalışmada, Simsekler Dizman ve
arkadaşları tarafından (2016) tanımlanan esnek ditopolojik uzayların bir
genelleştirilmesi olan bulanık esnek ditopolojik uzaylar tanımlanmıştır.
Bulanık esnek ditopolojik uzaylar birbirinden bağımsız olarak tanımladığımız
bulanık esnek açık ve bulanık esnek kapalı kümeler kullanılarak tanımlanmış
bulanık esnek topolojiler ve bulanık esnek kotopolojilerin bir kombinasyonudur.
Ayrıca bulanık esnek topolojilerde tanımladığımız τ-süreklilik ve bulanık esnek
kotopolojilerde  -sürekiliği kullanarak bulanık esnek
ditopolojilerde sürekliliği verdik.

Keywords

Fuzzy soft sets, fuzzy soft ditopology

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