Compositive information measure of a fuzzy set

  • Carlo Bertoluzza
  • Teofilo Brezmes
  • Gloria Naval
Probabilistic, Statistical and Informational Methods
Part of the Lecture Notes in Computer Science book series (LNCS, volume 945)


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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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Carlo Bertoluzza
    • 1
  • Teofilo Brezmes
    • 2
  • Gloria Naval
    • 2
  1. 1.Dip.Informatica e SistemisticaUniversitá di PaviaPaviaItaly
  2. 2.Departamento de MatemáticasUniversidad de OviedoOviedoSpain

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