Open AccessB-almost distributive fuzzy lattice
Author(s) -
Berhanu Assaye,
Mihret Alemneh,
Gerima Tefera Dejen
Publication year - 2018
Publication title -
bulletin of the section of logic
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.225
H-Index - 13
eISSN - 2449-836X
pISSN - 0138-0680
DOI - 10.18778/0138-0680.47.3.03
Subject(s) - distributive property , lattice (music) , fuzzy logic , mathematics , distributive lattice , algebra over a field , congruence lattice problem , pure mathematics , discrete mathematics , computer science , physics , artificial intelligence , acoustics
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.