A two-parameter generalization of Shannon–Khinchin axioms and the uniqueness theorem
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 Sh...
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Published in | Physics letters. A Vol. 368; no. 3; pp. 199 - 205 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
20.08.2007
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Subjects | |
Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 0375-9601 1873-2429 |
DOI: | 10.1016/j.physleta.2007.04.009 |