WAY-BELOW ESNEK KÜME BAĞINTISI

Abstract

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. 

Keywords

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

THE WAY-BELOW SOFT SET RELATION

Abstract

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. 

Keywords

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

References

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