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Probability of Intuitionistic Fuzzy Events

  • Przemysław Grzegorzewski
  • Edyta Mrówka
Part of the Advances in Intelligent and Soft Computing book series (AINSC, volume 16)

Abstract

The notion of probability measure of intuitionistic fuzzy events is investigated and basic properties of that concept are examined.

Keywords

Membership Function Fuzzy Preference Relation Fuzzy Event Classical Probability Theory Finite Universe 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Atanassov K. (1986), Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 20, 87–96.MathSciNetCrossRefMATHGoogle Scholar
  2. 2.
    Atanassov K. (1989), More on Intuitionistic Fuzzy Sets, Fuzzy Sets and Systems 33, 37–46.MathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    Atanassov K. (1999), Intuitionistic Fuzzy Sets: Theory and Applications, Physica-Verlag.Google Scholar
  4. 4.
    Gerstenkorn T., Mariko J., (1991), Probability of Fuzzy Intuitionistic Sets, BUSEFAL 45, 128–136.Google Scholar
  5. 5.
    Szmidt E., Kacprzyk J. (1998a), Group Decision Making under Intuitionistic Fuzzy Preference Relations, Proceedings of the 7th Int. Conference IMPU’98, Paris, pp. 172–178.Google Scholar
  6. 6.
    Szmidt E., Kacprzyk J. (1998b), Applications of Intuitionistic Fuzzy Sets in Decision Making,Proceedings of the 8th Congreso EUSFLAT’98, Pampelona, pp. 150–158.Google Scholar
  7. 7.
    Szmidt E., Kacprzyk J. (1999a), A Concept of a Probability of an Intuitionistic Fuzzy Event, Proceedings of the 1999 IEEE International Fuzzy Systems Conference, Seoul, pp. 1346–1349.Google Scholar
  8. 8.
    Szmidt E., Kacprzyk J. (1999c), Probability of Intuitionistic Fuzzy Events and Their Applications in Decision Making, Proceedings of the 9th Congreso EUSFLAT’99, pp. 457–460.Google Scholar
  9. 9.
    Zadeh L.A. (1965), Fuzzy Sets, Inf. and Control 8, 338–353.MathSciNetCrossRefMATHGoogle Scholar
  10. 10.
    Zadeh L.A. (1968), Probability Measures of Fuzzy Events, J. Math. Anal. Appl. 23, 421–427.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Przemysław Grzegorzewski
    • 1
  • Edyta Mrówka
    • 1
  1. 1.Systems Research InstitutePolish Academy of SciencesWarsawPoland

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