L-filters and TL-filters in IL-algebras

YILMAZ Ş., Doğru H. B., Bordbar H.

Italian Journal of Pure and Applied Mathematics, sa.53, ss.280-293, 2025 (ESCI, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Dergi Adı: Italian Journal of Pure and Applied Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Compendex, zbMATH
  • Sayfa Sayıları: ss.280-293
  • Anahtar Kelimeler: filter, IL-algebra, L-filter, TL-filter
  • Karadeniz Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the concepts of L-filter and TL-filter as two different generalizations of the notion of fuzzy filter in IL-algebras. We investigate some properties with respect to these concepts. We study the relationship between L-filters and TL-filters. We give some characterizations for filters of IL-algebras by using Lfilters and TL-filters. We present additional conditions so that the notions of L-filter and TL-filter coincide in an IL-algebra.