ω- Fuzzy Translation and Multiplication in BH-Algebras

Prasanna, A.; Premkumar, M.; Mohideen, S. Ismail

doi:10.9734/bpi/tier/v3/6131f

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2023

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“…In 2019, Prasanna et al [18] introduced the concept of doubt fuzzy BPideals and lower level cuts of a fuzzy set. In 2020, Prasanna et al [20] introduced ω-fuzzy BP-subalgebras and fuzzy BPideals. Elgendy [6] introduced the concept of bipolar fuzzy α-ideals of BP-algebras.…”

Section: Introductionmentioning

confidence: 99%

A Note on External Direct Products of BP-algebras

Chanmanee¹,

Prasertpong²,

Julatha³

et al. 2023

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The notion of BP-algebras was introduced by Ahn and Han [2] in 2013, which is related to several classes of algebra. It has been examined by several researchers. In the group, the concept of the direct product (DP) [21] was initially developed and given some features. Then, other algebraic structures are subjected to DP groups. Lingcong and Endam [16] examined the idea of the DP of (0-commutative) B-algebras and B-homomorphisms in 2016 and discovered several related features, one of which is a DP of two Balgebras that is a B-algebra. Later on, the concept of the DP of B-algebra was expanded to include finite family B-algebra, and some of the connected issues were researched. In this work, the external direct product (EDP), a general concept of the DP, is established, and the results of the EDP for certain subsets of BP-algebras are determined. In addition, we define the weak direct product (WDP) of BP-algebras. In light of the EDP BP-algebras, we conclude by presenting numerous essential theorems of (anti-)BP-homomorphisms.

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Section: Introductionmentioning

confidence: 99%