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Total Entropy. A Unified Approach to Discrete Entropy and Continuous Entropy

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Abstract

This paper is made up of two parts. In the first one a brief review of discrete entropy and continuous entropy is given, which shows how, to a large extent, the latter is a more suitable measure of uncertainty than the former is in some instances. Based on this remark, the second part proposes a slight modification of the axiomatic derivation of the discrete entropy so that it exhibits properties similar to those of the continuous entropy. Some consequences of this unified approach are examined.

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References

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© 1986 D. Reidel Publishing Company

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Jumarie, G. (1986). Total Entropy. A Unified Approach to Discrete Entropy and Continuous Entropy. In: Trappl, R. (eds) Cybernetics and Systems ’86. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4634-7_18

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  • DOI: https://doi.org/10.1007/978-94-009-4634-7_18

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8560-1

  • Online ISBN: 978-94-009-4634-7

  • eBook Packages: Springer Book Archive

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