Rényi and Tsallis and Shannon entropies on D-posets

Rényi and Tsallis and Shannon entropies on D-posets

This paper is devoted to introduce and study Rényi and Tsallis entropy, conditional Tsallis entropy and Tsallis mutual information of D-posets on a state s. Several relations between the conditional entropies are derived. Finally we define Tsallis entropy of dynamical system on D-posets and a new ve...

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Veröffentlicht in:Journal of intelligent & fuzzy systems 2018-01, Vol.34 (4), p.2771-2781
Hauptverfasser: Alizadeh, Leila, Ebrahimi, Mohammad
Format: Artikel
Sprache:eng
Schlagworte:
Entropy (Information theory)
Set theory
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Zusammenfassung:This paper is devoted to introduce and study Rényi and Tsallis entropy, conditional Tsallis entropy and Tsallis mutual information of D-posets on a state s. Several relations between the conditional entropies are derived. Finally we define Tsallis entropy of dynamical system on D-posets and a new version of Kolmogorove-Sinai Theorem has been proved.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-17930