This paper aims to apply fuzzy set theory to Sheffer stroke BE-algebras.The concepts of fuzzy SBE-ideals and anti-fuzzy SBE-ideals of Sheffer stroke BE-algebras are introduced, and their important properties are investigated.Characterizations of SBE-ideals of SBE-algebras are given in terms of fuzzy SBE-ideals and anti-fuzzy SBE-ideals.Relationships between fuzzy SBEideals and anti-fuzzy SBE-ideals and their level subsets are discussed.We especially characterize fuzzy SBE-ideals and anti-fuzzy SBE-ideals by their level subsets.
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Chunsee et al. (2024) studied this question.