Bornological Spaces in the Context of Fuzzy Soft Sets

ÇETKİN V.

FILOMAT, cilt.36, sa.4, ss.1341-1350, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 4
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2204341c
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1341-1350
  • Anahtar Kelimeler: Boundedness, bornology, bounded soft mapping, fuzzy soft set
  • Kocaeli Üniversitesi Adresli: Evet

Özet

The aim of this study is to present the concept of an (L, M) - fuzzy (E, K) soft bornology as a parameterized extension of the LM-valued bornology. By this way, we describe the notions of boundedness and the parameterized degree of boundedness for L-fuzzy soft sets. We examine several fundamental properties of the proposed structures. In addition, we induce a (2, M)-fuzzy (E, K) soft bornology in a given (2, M)-fuzzy (E, K) soft topological space with the help of the measures of compactness of a soft set.