A new approach for soft topology and soft function via soft element

TAŞKÖPRÜ K., Altıntaş İ.

Mathematical Methods in the Applied Sciences, cilt.44, sa.9, ss.7556-7570, 2021 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Özet
  • Cilt numarası: 44 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1002/mma.6354
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.7556-7570
  • Anahtar Kelimeler: soft continuous function, soft element, soft rotation, soft set, soft topology
  • Bilecik Şeyh Edebali Üniversitesi Adresli: Evet

Özet

© 2020 John Wiley & Sons, Ltd.In this article, we give some new properties of elementary operations on soft sets and then we introduce a new soft topology by using elementary operations over a universal set with a set of parameters called elementary soft topology. Also, we define a topology, members of which are collections of the soft elements and give the relation between this topology and elementary soft topology. We show that this new soft topology is different from those previously defined soft topologies. We prove some of the properties of the topological concepts we investigate in this topology. Finally, we describe soft function and soft continuity and give an application of the soft function as soft set approach to the rotation in (Formula presented.).