Abstract
Pseudo-BL algebras are a natural generalization of BL-algebras and of pseudo-MV algebras.In this paper the notions of five different types of derivations on a pbl as generalizations of derivations of a BL-algebra are introduced. Moreover, as an extension of derivations of a pbl , the notions of $(varphi , psi)$-derivations are defined on these types. Finally, several related properties are discussed.
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