%0 Journal Article
%T L-Normal fuzzy filters of a distributive lattice
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Norahun, Wondwosen Zemene
%A Mulat Addis, Gezahagne
%A Alemayehu, Teferi Getachew
%A Boku, Dereje Kifle
%D 2023
%\ 01/01/2023
%V 14
%N 1
%P 485-493
%! L-Normal fuzzy filters of a distributive lattice
%K Distributive lattice
%K normal filter
%K L-fuzzy filter
%K L-normal fuzzy filter
%K L-prime normal fuzzy filter
%R 10.22075/ijnaa.2022.27889.3748
%X In this paper, we study the concept of L-normal fuzzy filters of distributive lattices in terms of annulates. We also study the special class of fuzzy filters called L-normal fuzzy filters. Further, a set of equivalent conditions are derived for an $ L $-fuzzy filter to be an $ L $-normal fuzzy filter, which leads to a characterization of disjunctive lattices. We observe that every L-normal fuzzy filter is the intersection of all L-prime normal fuzzy filters containing it. Finally, we study the space of $ L $-prime normal fuzzy filters and investigate some of their properties.
%U https://ijnaa.semnan.ac.ir/article_7023_49aad77d83638c45d8d4997fd93aad9b.pdf