{
  "id": "1211.7097",
  "version": "v1",
  "published": "2012-11-29T21:36:12.000Z",
  "updated": "2012-11-29T21:36:12.000Z",
  "title": "Comments on \"Generalization of Shannon-Khinchin axioms to nonextensive systems and the uniqueness theorem for the nonextensive entropy\"",
  "authors": [
    "Velimir M. Ilic",
    "Miomir S. Stankovic",
    "Edin H. Mulalic"
  ],
  "comment": "4 pages",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "Recently, Suyari has proposed a generalization of Shannon-Khinchin axioms, which determines a class of entropies containing the well-known Tsalis and Havrda-Charvat entropies [H. Suyari, IEEE Trans. Inf. Theory, vol. 50, pp. 1783-1787, Aug. 2004]. In this comment we show that the class of entropy functions determined by Suyari's axioms is wider than the one proposed by Suyari and give a counterexample. Additionally, we generalize Suyari's axioms characterizing recently introduced class of entropies obtained by averaging pseudoadditive information content introduced in [V. Ilic and M. Stankovic, \"Comments on \"Nonextensive Entropies derived from Form Invariance of Pseudoadditivity\"\" Submited, 2012].",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-11-29T21:36:12.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "shannon-khinchin axioms",
      "nonextensive entropy",
      "uniqueness theorem",
      "nonextensive systems",
      "generalization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 4,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1211.7097I"
    }
  }
}