International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/3423 2020 2020 Department of Mathematics, University Center of Barika, Amdoukal Road, Barika, 05001, Algeria admin admin Department of Mathematics, University Center of Barika, Amdoukal Road, Barika, 05001, Algeria Soheyb Milles University of M’sila, University Pole, Road Bourdj Bou Arreiridj, M’sila 28000, Algeria; KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Belgium Lemnaouar Zedam 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. 2025 2025 80 100 10.54216/IJNS.250408 https://www.americaspg.com/articleinfo/21/show/3423