On the most concise set of axioms and the uniqueness theorem for Tsallis entropy

摘要

We present the most concise set of axioms for Tsallis entropy, and rigorously prove the uniqueness theorem. This set of axioms consists of only two distinct additivities: pseudoadditivity and Shannon additivity. We then compare our axioms with the axioms presented by Santos. The peculiarity of pseudoadditivity as an axiom for Tsallis entropy is also discussed. [References: 14]