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Measures of inset information on the open domain — I: Inset entropies and information functions of all degrees

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Abstract

This is one in a series of papers studying measures of information in the so-called “mixed” theory of information (i.e. considering the events as well as their probabilities) on the “open” domain (i.e. without empty sets and zero probabilities). In this paper we find allβ-recursive, 3-semisymmetric inset entropies on the open domain. We do this by solving the fundamental equation of inset information of degreeβ (β∈ℝ) on the open domain.

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Author notes

  1. B. R. Ebanks & Gy. Maska

    Present address: Mathematics Department, University of Louisville, 40292, Louisville, KY, U.S.A.

Authors and Affiliations

  1. Department of Mathematics, Texas Tech. University, 79409, Lubbock, TX, U.S.A.

    B. R. Ebanks & Gy. Maska

  2. Department of Mathematics, L. Kossuth University, Pf. 12, H-4010, Debrecen, Hungary

    B. R. Ebanks & Gy. Maska

Authors
  1. B. R. Ebanks
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  2. Gy. Maska
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Dedicated to Professor János Aczél on his 60th birthday.

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Ebanks, B.R., Maska, G. Measures of inset information on the open domain — I: Inset entropies and information functions of all degrees. Aeq. Math. 30, 187–201 (1986). https://doi.org/10.1007/BF02189925

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  • DOI: https://doi.org/10.1007/BF02189925

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