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B-almost distributive fuzzy lattice

Berhanu Assaye;  Mihret Alemneh;  Gerima Tefera — 2018

Bulletin of the Section of Logic

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.

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