Abstract
The notion of (regular) (alpha, beta)-derivations of a BCI-algebra X is introduced, some useful examples are discussed, and related properties are investigated. The condition for a (alpha, beta)-derivation to be regular is provided. The concepts of a d((alpha,beta))-invariant (alpha, beta)-derivation and alpha-ideal are introduced, and their relations are discussed. Finally, some results on regular (alpha, beta)-derivations are obtained.