2006/08/05 by Tatsuaki Wada, Hiroki Suyari
Mathematics · Physics and Astronomy · #Fractional Differential Equations Solutions #Fuzzy Systems and Optimization #Statistical Mechanics and Entropy #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physleta.2007.04.009
7pages, Phys. Rev. style
arxiv created 2006/08/05 · openalex publication_date 2007/04/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.