L-filters and TL-filters in IL-algebras
Italian Journal of Pure and Applied Mathematics, no.53, pp.280-293, 2025 (ESCI, Scopus)
- Publication Type: Article / Article
- Publication Date: 2025
- Journal Name: Italian Journal of Pure and Applied Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Compendex, zbMATH
- Page Numbers: pp.280-293
- Keywords: filter, IL-algebra, L-filter, TL-filter
- Karadeniz Technical University Affiliated: Yes
Abstract
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.