L-filters and TL-filters in IL-algebras

S¸erife Yılmaz; Huriye Bet¨ul Do˘gru; Hashem Bordbar

L-filters and TL-filters in IL-algebras

Authors

S¸erife Yılmaz Karadeniz Technical University - Department of Mathematics
Huriye Bet¨ul Do˘gru Karadeniz Technical University - Department of Mathematics
Hashem Bordbar University of Nova Gorica - Center for Information Technologies and Applied Mathematics

Keywords:

filter, IL-algebra, L-filter, TL-filter

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 L-filters and TL-filters. We present additional conditions so that the notions of L-filter and TL-filter coincide in an IL-algebra.

Cover of n°53 Italian Journal of Pure and Applied Mathematics

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Published

2025-05-19

How to Cite

Yılmaz, S., Bet¨ul Do˘gru, H., & Bordbar, H. (2025). L-filters and TL-filters in IL-algebras. Italian Journal of Pure and Applied Mathematics, 53, 280–293. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/5654