  Based on the one-parameter generalization of Shannon-Khinchin (SK) axioms
presented by one of the authors, and utilizing a tree-graphical representation,
we have further developed the SK Axioms in accordance with the two-parameter
entropy introduced by Sharma-Taneja, Mittal, Borges-Roditi, and
Kaniadakis-Lissia-Scarfone. The corresponding unique theorem is proved. It is
shown that the obtained two-parameter Shannon additivity is a natural
consequence from the Leibniz rule of the two-parameter Chakrabarti-Jagannathan
difference operator.
