Linear Diophantine fuzzy $n$-fold weak subalgebras of a BE-algebra

Madeleine Al-Tahan; Akbar Rezaei; Saba Al-Kaseasbeh; Bijan Davvaz; Muhammad Riaz

doi:10.35834/2023/3502136

Abstract

In this paper, we consider linear Diophantine fuzzification of substructures of a BE-algebra. In particular, we introduce the notion of linear Diophantine fuzzy $n$-fold weak subalgebra of a BE-algebra, study its properties, and relate it to the concept of $n$-fold weak subalgebra.

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Madeleine Al-Tahan. Akbar Rezaei. Saba Al-Kaseasbeh. Bijan Davvaz. Muhammad Riaz. "Linear Diophantine fuzzy $n$-fold weak subalgebras of a BE-algebra." Missouri J. Math. Sci. 35 (2) 136 - 148, November 2023. https://doi.org/10.35834/2023/3502136

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Published: November 2023

First available in Project Euclid: 28 November 2023

Digital Object Identifier: 10.35834/2023/3502136

Subjects:

Primary: 06F35

Secondary: 03G25 , 08A72

Keywords: $n$-fold weak subalgebra , BE-algebra , LDF-$n$-fold weak subalgebra , LDF-subalgebra , Level set , linear Diophantine fuzzy set (LDFS) , subalgebra

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