Volume 25 , Issue 4 , PP: 80-100, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Abdelhamid Bennoui 1 , Soheyb Milles 2 , Lemnaouar Zedam 3
Doi: https://doi.org/10.54216/IJNS.250408
Based on the concept of Atanassov’s intuitionistic fuzzy set on a universe X, we introduce the concepts of intuitionistic fuzzy ideals and intuitionistic fuzzy filters on an intuitionistic fuzzy lattice. More specifically, we provide characterizations of these concepts in terms of the intuitionistic fuzzy lattice meet and join operations, in terms of some associated fuzzy sets, as well as, in terms of their crisp level sets. Furthermore, we introduce the concepts of prime intuitionistic fuzzy ideals (resp. filters) as interesting kinds, and investigate their various properties and characterizations.
Intuitionistic fuzzy set , Intuitionistic fuzzy order relation , Intuitionistic fuzzy ideal , Intuitionistic fuzzy filter
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