Issue:Intuitionistic fuzzy events and their probabilities

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Title of paper: Intuitionistic fuzzy events and their probabilities
Author(s):
Eulalia Szmidt
Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
szmidtAt sign.pngibspan.waw.pl
Janusz Kacprzyk
Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
kacprzykAt sign.pngibspan.waw.pl
Published in: "Notes on IFS", Volume 4 (1998) Number 4, pages 68—72
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Abstract: A concept of a probability measure for intuitionistic fuzzy sets is introduced. The solution is given by an interval and is consistent with the probability measure proposed by Zadeh for fuzzy sets.
Keywords: fuzzy set, intuitionistic fuzzy set, fuzzy event, inruitionistic fuzzy event, fuzzy probability, intuitionistic fuzzy probability
References:
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  2. K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989) 37-46.
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  4. K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 64 (1994b) 159-174.
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  8. E. Szmidt and J. Kacprzyk, Group decision making via intuitionistic fuzzy sets, Proceeding of FUBEST'96 (Sofia, Bulgaria, 1996b) 107-112.
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  10. E. Szmidt and J. Kacprzyk, Intuitionistic fuzzy sets for more realistic group decision making, Proceedings of TRANSITIONS'97 (Warsaw, Poland, 1997a) 430-433.
  11. E. Szmidt and J. Kacprzyk, On measuring distances between intuitionistic fuzzy sets, Notes on IFS 3 (1997b) 1-13.
  12. Szmidt E. and Kacprzyk J. (1998a) Intuitionistic fuzzy linguistic quantifiers. Notes on IFS, Vol.3, No.5. pp. 111-122.
  13. Szmidt E. and Kacprzyk J. (1998b) A Fuzzy Set Corresponding to an Intuitionistic Fuzzy Set. Int. Journal of Uncertainty and Knowledge Based Systems, Vol.6, No.5, pp.427-435.
  14. Szmidt E. and Kacprzyk J. (1998c) Intuitionistic fuzzy set theory and mass assignment theory: Some relations. Notes on IFS, Vol.4, No.1, pp. 1-7.
  15. Szmidt E. and Kacprzyk J. (1998d) Entropy for Intuitionistic Fuzzy Sets. Accepted for publication in Fuzzy Sets and Systems.
  16. Szmidt E. and Kacprzyk J. (1998e) Distances Between Intuitionistic Fuzzy Sets. Accepted for publication in Fuzzy Sets and Systems.
  17. Szmidt E. and Kacprzyk J. (1998f) Group Decision Making under Intuitionistic Fuzzy Preference Relations. Proceedings of the 7th Int. Conference IPMU'98 (Paris, La Sorbonne, July 6-10), pp. 172-178.
  18. Szmidt E. and Kacprzyk J. (1998g) Applications of intuitionistic fuzzy sets in decision making. Proceedings of the 8th Congreso EUSFLAT'9 (Pamplona, Univ. De Navarra, September 8-10), pp. 150-158.
  19. L.A. Zadeh (1965) Fuzzy sets. Information and Control, 8 338-353.
  20. L.A. Zadeh (1968) Probability measures of fuzzy events. JMath.Anal.Appl. Vol.23, pp..421-427.
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