Geodesic
B-almost distributive fuzzy lattice
Bulletin of the Section of Logic, Tome 47 (2018) no. 3

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The paper introduces the concept of B-Almost distributive fuzzy lattice (BADFL) in terms of its principal ideal fuzzy lattice. Necessary and sufficient conditions for an ADFL to become a B-ADFL are investigated. We also prove the equivalency of B-algebra and B-fuzzy algebra. In addition, we extend PSADL to PSADFL and prove that B-ADFL implies PSADFL.
Keywords: almost distributive lattice, Heyting almost distributive lattice (HADL), B-almost distributive lattice, principal ideals of an almost distributive lattice 
@article{BSL_2018_47_3_a2,
     author = {Assaye, Berhanu and Alemneh, Mihret and Tefera, Gerima},
     title = {B-almost distributive fuzzy lattice},
     journal = {Bulletin of the Section of Logic},
     publisher = {mathdoc},
     volume = {47},
     number = {3},
     year = {2018},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BSL_2018_47_3_a2/}
}
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Assaye, Berhanu; Alemneh, Mihret; Tefera, Gerima. B-almost distributive fuzzy lattice. Bulletin of the Section of Logic, Tome 47 (2018) no. 3. http://geodesic.mathdoc.fr/item/BSL_2018_47_3_a2/