Non-uniqueness of non-extensive entropy under Rényi's recipe
DOI:
https://doi.org/10.24352/UB.OVGU-2018-352Keywords:
Non-extensive entropy, Non-additivity, Quasilinear means 1 IAbstract
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)