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A pragmatic way out of the maze of uncertainty measures

  • Giuseppe Longo
  • Andrea Sgarro
7. Hybrid Approaches To Uncertainty
Part of the Lecture Notes in Computer Science book series (LNCS, volume 521)

Abstract

We argue that the construction of a general (non-specific) theory of pragmatic uncertainty measures is a dubious undertaking. To make our point we discuss fractional entropy, a measure introduced in the specific context of cryptography. Two new properties of fractional entropy are proved.

Key-words

entropy conditional entropy uncertainty measures 

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References

  1. Klir G.J. (1987) Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like?, Fuzzy Sets and Systems, 24 (1987) 141–160CrossRefGoogle Scholar
  2. Klir G.J., Folger T.A. (1988) Fuzzy Sets, Uncertainty, and Information, Prentice-Hall Int.Google Scholar
  3. Sgarro A. (1988a) A measure of semiequivocation, in Advances in Cryptology ed. by Ch. Günther, Lecture Notes in Computer Science 330 (1988) Springer Verlag, 375–387Google Scholar
  4. Sgarro A. (1988b) Information measures from rate-distortion theories, in Uncertainty and Intelligent Systems, ed. by B. Bouchon, L. Saitta and R.R. Yager, Lecture Notes in Computer Science 313 (1988) Springer Verlag, 112–118Google Scholar
  5. Csiszár I., Körner J. (1982) Information Theory, Academic PressGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Giuseppe Longo
    • 1
  • Andrea Sgarro
    • 2
    • 3
  1. 1.DEEIUniversity of TriesteTriesteItaly
  2. 2.Department of Mathematics and Computer ScienceUniversity of UdineUdineItaly
  3. 3.Department of Mathematical SciencesUniversity of TriesteTriesteItaly

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