Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies
Mathematical Physics
2015-06-17 v1 math.MP
Abstract
We consider the Shannon-Khinchin axiomatic systems for the characterization of generalized entropies such as Sharma-Mital and Frank-Daffertshofer entropy. We provide the generalization of Shannon-Khinchin axioms and give the corresponding uniqueness theorem. The previous attempts at such axiomatizations are also discussed.
Keywords
Cite
@article{arxiv.1311.0323,
title = {Generalized Shannon-Khinchin Axioms and Uniqueness Theorem for Pseudo-additive Entropies},
author = {Velimir M. Ilic and Miomir S. Stankovic},
journal= {arXiv preprint arXiv:1311.0323},
year = {2015}
}