Łukasiewicz fuzzy BE-algebras and BE-filters

Young Bae Jun; Sun Shin Ahn

doi:10.29020/nybg.ejpam.v15i3.4446

Łukasiewicz fuzzy BE-algebras and BE-filters

Young Bae Jun, Sun Shin Ahn

Department of Mathematics Education

Gyeongsang National University

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

By applying the concept of Łukasiewicz fuzzy set to BE-algebras, the notions of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are introduced, and their properties are investigated. Characterizations of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are discussed, and the relationship between fuzzy BE-algebra (resp., fuzzy BE-filter) and Łukasiewicz fuzzy BE-algebra (resp., Łukasiewicz fuzzy BE-filter) is established. The conditions for the ∈-set, q-set and O-set of Łukasiewicz fuzzy set to be BE-subalgebras are explored. Lukasiewicz fuzzy BE-filter is created by using BE-filter.

Original language	English
Pages (from-to)	924-937
Number of pages	14
Journal	European Journal of Pure and Applied Mathematics
Volume	15
Issue number	3
DOIs	https://doi.org/10.29020/nybg.ejpam.v15i3.4446
State	Published - Jul 2022

Keywords

O-set
q-set
Łukasiewicz fuzzy BE-algebra
Łukasiewicz fuzzy BE-filter
∈-set

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10.29020/nybg.ejpam.v15i3.4446

Cite this

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title = "{\L}ukasiewicz fuzzy BE-algebras and BE-filters",

abstract = "By applying the concept of {\L}ukasiewicz fuzzy set to BE-algebras, the notions of {\L}ukasiewicz fuzzy BE-algebra and {\L}ukasiewicz fuzzy BE-filter are introduced, and their properties are investigated. Characterizations of {\L}ukasiewicz fuzzy BE-algebra and {\L}ukasiewicz fuzzy BE-filter are discussed, and the relationship between fuzzy BE-algebra (resp., fuzzy BE-filter) and {\L}ukasiewicz fuzzy BE-algebra (resp., {\L}ukasiewicz fuzzy BE-filter) is established. The conditions for the ∈-set, q-set and O-set of {\L}ukasiewicz fuzzy set to be BE-subalgebras are explored. Lukasiewicz fuzzy BE-filter is created by using BE-filter.",

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AU - Ahn, Sun Shin

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AB - By applying the concept of Łukasiewicz fuzzy set to BE-algebras, the notions of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are introduced, and their properties are investigated. Characterizations of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are discussed, and the relationship between fuzzy BE-algebra (resp., fuzzy BE-filter) and Łukasiewicz fuzzy BE-algebra (resp., Łukasiewicz fuzzy BE-filter) is established. The conditions for the ∈-set, q-set and O-set of Łukasiewicz fuzzy set to be BE-subalgebras are explored. Lukasiewicz fuzzy BE-filter is created by using BE-filter.

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Łukasiewicz fuzzy BE-algebras and BE-filters

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Keywords

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