A two-parameter generalization of Shannon–Khinchin axioms and the uniqueness theorem

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• 作者：Tatsuaki Wada ; Hiroki Suyari
• 关键词：Shannon– ; Khinchin axioms ; Generalized entropy ; Shannon additivity
• 刊名：Physics Letters A
• 出版年：2007
• 出版时间：20 August 2007
• 年：2007
• 卷：368
• 期：3-4
• 页码：199-205
• 全文大小：202 K

文摘

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 developed for the first time a two-parameter generalization of the SK axioms in accordance with the two-parameter entropy introduced by Sharma, Taneja, and Mittal. The corresponding unique theorem is also proved. It is found that our two-parameter generalization of Shannon additivity is a natural consequence from the Leibniz product rule of the two-parameter Chakrabarti–Jagannathan difference operator.