B-almost distributive fuzzy lattice

Berhanu Assaye; Mihret Alemneh; Gerima Tefera

doi:10.18778/0138-0680.47.3.03

Authors

Berhanu Assaye Ethiopia, Bahir Dar, Bahir Dar University, College of Science, Department of Mathematics Author
Mihret Alemneh Ethiopia, Bahir Dar, Bahir Dar University, College of Science, Department of Mathematics Author
Gerima Tefera Dessie, Ethiopia, Wollo University, College of Natural Science, Department of Mathematics Author

DOI:

https://doi.org/10.18778/0138-0680.47.3.03

Keywords:

almost distributive lattice, Heyting almost distributive lattice (HADL), B-almost distributive lattice, principal ideals of an almost distributive lattice

Abstract

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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