Abstract

After BE-algebra was introduced by Kim et al., its generalization was attempted by several scholars. As a follow-up, Borzooei et al., Rezaei et al. and Sayyad et al. introduced pseudo BE-algebra, eBE-algebra and pseudo eBE-algebra, respectively. The aim of this article is to consider more extended version of pseudo eBE-algebra. The concepts of generalized pseudo eBE-algebra, (generalized) pseudo sub-eBE-algebra, eBEsubalgebra, eBE-filter, right (left) f-section and eBE-upper set are introduced and related properties, interrelationships and characterizations are studied.