Geodesic
L-Fuzzy Ideals of Residuated Lattices
Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 2, pp. 181-201

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This paper mainly focuses on building the ℒ-fuzzy ideals theory of residuated lattices. Firstly, we introduce the notion of ℒ-fuzzy ideals of a residuated lattice and obtain their properties and equivalent characterizations. Also, we introduce the notion of prime fuzzy ideal, fuzzy prime ideal and fuzzy prime ideal of the second kind of a residuated lattice and establish existing relationships between these types of fuzzy ideals. Finally, we investigate the notions of fuzzy maximal ideal and maximal fuzzy ideal of a residuated lattice and present some characterizations.
Keywords: fuzzy ideal, fuzzy prime ideal, prime fuzzy ideal, fuzzy maximal ideal and maximal fuzzy ideal 
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Kengne, Pierre Carole; Koguep, Blaise Blériot; Akume, Daniel; Lele, Celestin. L-Fuzzy Ideals of Residuated Lattices. Discussiones Mathematicae. General Algebra and Applications, Tome 39 (2019) no. 2, pp. 181-201. http://geodesic.mathdoc.fr/item/DMGAA_2019_39_2_a2/