WAY-BELOW ESNEK KÜME BAĞINTISI

Yıl 2019, Cilt: 5 Sayı: 2, 23 - 27, 11.12.2019

Bekir Tanay Gözde Yaylalı

https://doi.org/10.22531/muglajsci.566641

Öz

Sıralama, matematiksel
objeler ve ilgili alanlarda sıklıkla kullanılmaktadır. Molodtsov [1] tarafında
ortaya çıkartılan esnek kümelerde sıralama kullanıyoruz. İlk olarak Babitha and
Sunil [2] esnek küme bağıntısı tanımını verdikten sonra Babitha and Sunil [3] kısmi
sıralı esnek kümeyi tanımlamışlardır. “New structures on partially ordered soft
sets and soft Scott topology” [4] isimli çalışmamızda, yönlendirilmiş esnek
kümeleri tanıttık. Bundan başka, “Some new results on orderings on soft sets” [5] isimli çalışmamızda esnek latis,
tam esnek latis tanımları verildi. Way-Below Esnek Küme bağıntısı hakkında
ICRAPAM 2014’te Konferans Özet Kitabında sadece özetinin yayınlandığı bir sunum
yaptık [6].  Bu makalede, bu çalışma
genişletildi ve sunumumuzdaki tüm sonuçların ispatları verildi.  Ayrıca, sürekli esnek latis, L-esnek domain
tanımlandı ve bazı önemli sonuçlar elde edilerek ispatlandı. 

Anahtar Kelimeler

Esnek küme bağıntısı, Way-below esnek küme bağıntısı, Esnek domain, Yönlendirilmiş esnek küme

THE WAY-BELOW SOFT SET RELATION

Öz

Order is used frequently in
mathematical objects and related fields. We use order in the soft set that is
introduced by Molodtsov [1]. Babitha and Sunil [2] gave the definition of soft
set relation, then Babitha and Sunil [3] defined partially ordered soft set. We
introduced directed soft sets in [4]. Moreover, definition of soft lattice,
complete soft lattice were given in [5]. We made a presentation, whose abstract was
published only in the Abstract Book, in ICRAPAM 2014 [6] about the way-below
soft set relation. In this paper, this study is  extended and the proofs of all results of our
presentation is given. Moreover, continuous soft lattices, L-soft domain are
defined, and some important results are obtained and proved in this study. 

Anahtar Kelimeler

Soft set relation, Directed soft set, Soft domain, Way-below soft set relation

Kaynakça

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