Degrees of (<i>L</i>, <i>M</i>)-fuzzy bornologies

ÇETKİN V.

OPEN MATHEMATICS, cilt.22, sa.1, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 1
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1515/math-2024-0110
  • Dergi Adı: OPEN MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, Directory of Open Access Journals
  • Kocaeli Üniversitesi Adresli: Evet

Özet

This article is devoted to present the degree to which a mapping defined from L X {L}<^>{X} to M , M, which is an ( L , M ) \left(L,M) -fuzzy bornology in the sense of Liang et al. In this respect, the degree to which L L -subset is bounded according to the given bornological structure is described. In addition, the notions of boundedness degree and the boundedness preserving degree of a mapping defined between bornological spaces are introduced. The characterizations of the provided notions are studied.