Non-uniqueness of non-extensive entropy under Rényi's recipe

Authors

  • Sönke Hoffmann

DOI:

https://doi.org/10.24352/UB.OVGU-2018-352

Keywords:

Non-extensive entropy, Non-additivity, Quasilinear means 1 I

Abstract

In this note I show that Tsallis entropy (Tsallis, 1988) is not unique in the class of non-additive, selfweighted and quasilinear means. A characterization is given which disproves a result in Dukkipati et al. (2005a,b) and Dukkipati et al. (2006)

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Published

2018-09-04

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