@ARTICLE{10.21494/ISTE.OP.2026.1434, 

TITLE={Axioms and uniqueness theorem of information entropies}, 
  
AUTHOR={A. El Kaabouchi
, Alexandre Wang, }, 
	
JOURNAL={Entropy: Thermodynamics – Energy – Environment – Economy }, 
	
VOLUME={7}, 

NUMBER={Special issue LILA 3}, 
	
YEAR={2026}, 

URL={https://openscience.fr/Axioms-and-uniqueness-theorem-of-information-entropies}, 
	
DOI={10.21494/ISTE.OP.2026.1434}, 
	
ISSN={2634-1476}, 
	
ABSTRACT={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.}}