B-almost distributive fuzzy lattice | Zendy

Berhanu Assaye | Zendy; Mihret Alemneh | Zendy; Gerima Tefera | Zendy

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B-almost distributive fuzzy lattice

Author(s) -

Berhanu Assaye,

Mihret Alemneh,

Gerima Tefera

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.

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