fq-Derivation of BP-Algebras

Abstract

First, this article presents the definition of left-right derivation and right-left derivation in BP-algebra, and their characteristic are explored. Then, we define the concept of inside and outside fq-derivation of BP-algebras. Finally, their properties are explored. Furthermore, the notion of fq-derivation within BP-algebra is synonymous with B-algebra; however, they do exhibit variations in their respective characteristics.

T-Ideal AND Α-Ideal OF BP-ALGEBRAS

“…We have discussed other concepts of BP-algebra like 𝔣 𝑞 -derivation in BP-algebra [12]. Jefferson and Chandramouleeswaran [13] introduce the notion of ideals in fuzzy BP-ideals and T-ideals in fuzzy T-ideals within BP-algebra [14] .…”