TY  - Type of reference 
TI  - Axioms and uniqueness theorem of information entropies 
AU  - A. El Kaabouchi
 
AU  - Alexandre Wang 
AB  - In this work, we provide a new proof of the uniqueness theorem for a family of entropy formulas including Shannon’s entropy. The conventional axiomatic structure, proposed by Shannon and Khinchin in their seminal work, is modified by using fewer assumptions and especially without using the axioms relative to thermodynamic entropy, i.e., the maximum of entropy corresponds to uniform probability distributions, or the entropy is an increasing function of the total number of states of a system, which are just part of the reasons for the kin relationship between the two notions. 
DO  - 10.21494/ISTE.OP.2026.1434 
JF  - Entropy: Thermodynamics – Energy – Environment – Economy  
KW  - Entropie, Entropie de Shannon, Entropie de Tsallis, Théorème d’unicité, Théorie de l’information, Entropie généralisée, Entropie conditionnelle, Entropie, Entropie de Shannon, Entropie de Tsallis, Théorème d’unicité, Théorie de l’information, Entropie généralisée, Entropie conditionnelle,  
L1  - https://openscience.fr/IMG/pdf/iste_entropie26v7n2_2.pdf 
LA  - en 
PB  - ISTE OpenScience 
DA  - 2026/04/10 
SN  - 2634-1476 
TT  - Axiomes et théorème d’unicité de l’entropie et de l’information 
UR  - https://openscience.fr/Axioms-and-uniqueness-theorem-of-information-entropies 
IS  - Special issue LILA 3 
VL  - 7 
ER  -