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Compositive information measure of a fuzzy set

  • Probabilistic, Statistical and Informational Methods
  • Conference paper
  • First Online:
Advances in Intelligent Computing — IPMU '94 (IPMU 1994)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 945))

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Abstract

In this paper the infomation associated to an event à (crisp or fuzzy) of a space (Ω, S) measures the degree of surprise which arises when this event occurs. J.Kampé de Fcrict and B.Forte gave in 1967 ([5]) an axiomatic definition of this concept, in which the information measure J is associated directly to the crisp event A of a measurable space (Ω, S). We will propose here a possible way to measure the information in the fuzzy context. We proceed by supposing that an axiomatic information measure is defined on the crisp events (crisp subsets): the information of a fuzzy subset will be constructed by means of the informations of their α-cuts.

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References

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Author information

Authors and Affiliations

  1. Dip.Informatica e Sistemistica, Universitá di Pavia, Corso Strada Nuova 65, 27100, Pavia, Italy

    Carlo Bertoluzza

  2. Departamento de Matemáticas, Universidad de Oviedo, calle Calvo Sotelo s/n, 33071, Oviedo, Spain

    Teofilo Brezmes & Gloria Naval

Authors
  1. Carlo Bertoluzza
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  2. Teofilo Brezmes
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  3. Gloria Naval
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Editor information

Bernadette Bouchon-Meunier Ronald R. Yager Lotfi A. Zadeh

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© 1995 Springer-Verlag Berlin Heidelberg

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Bertoluzza, C., Brezmes, T., Naval, G. (1995). Compositive information measure of a fuzzy set. In: Bouchon-Meunier, B., Yager, R.R., Zadeh, L.A. (eds) Advances in Intelligent Computing — IPMU '94. IPMU 1994. Lecture Notes in Computer Science, vol 945. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0035957

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  • DOI: https://doi.org/10.1007/BFb0035957

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60116-6

  • Online ISBN: 978-3-540-49443-0

  • eBook Packages: Springer Book Archive

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