The uniqueness theorem for a two-parameter extended relative entropy

نویسنده

  • Shigeru Furuichi
چکیده

Shannon entropy [1] is one of fundamental quantities in classical information theory and uniquely determinded by the Shannon-Khinchin axiom or the Faddeev axiom. One-parameter extensions for Shannon entropy have been studied by many researchers. The Rényi entropy [2] and the Tsallis entropy [3] are famous. In the paper [4], the uniqueness theorem for the Tsallis entropy was proved. Also, in our previous paper [5], the uniqueness theorem for the Tsallis relative entropy was proved. Recently, a two-parameter extended entropy was studied by several researchers [7, 8, 9, 10, 11, 12] and the uniqueness theorem for a two-parameter extended entropy was proved in [12] by generalizing the Shannon-Khinchin axiom. A two-parameter extended entropy is defined by

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تاریخ انتشار 2008