| Title of paper:
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Intuitionistic fuzzy events and their probabilities
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| Author(s):
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| Eulalia Szmidt
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| Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| szmidt@ibspan.waw.pl
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| Janusz Kacprzyk
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| Systems Research Institute Polish Academy of Sciences, ul. Newelska 6, 01-447 Warsaw, Poland
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| kacprzyk@ibspan.waw.pl
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| Published in:
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"Notes on IFS", Volume 4 (1998) Number 4, pages 68—72
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| Download:
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 PDF (2477 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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fuzzy set, intuitionistic fuzzy set, fuzzy event, inruitionistic fuzzy event, fuzzy probability, intuitionistic fuzzy probability
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| References:
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- K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986) 87-96.
- K. Atanassov, More on intuitionistic fuzzy sets, Fuzzy Sets and Systems 33 (1989) 37-46.
- K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1994a) 137-142.
- K. Atanassov, Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 64 (1994b) 159-174.
- K. Atanassov, Intuitionistic Fuzzy Sets: Theory and Applications (to appear).
- T. Gerstenkorn and J. Manko, Probability of fuzzy intuitionistic sets, BUSEFAL, Vol.45, (1990), 128-136.
- E. Szmidt and J. Kacprzyk, Intuitionistic fuzzy sets in group decision making, Notes on IFS 2 (1996a) 15-32.
- E. Szmidt and J. Kacprzyk, Group decision making via intuitionistic fuzzy sets, Proceeding of FUBEST'96 (Sofia, Bulgaria, 1996b) 107-112.
- E. Szmidt and J. Kacprzyk, Remarks on some applications of intuitionistic fuzzy sets in decision making, Notes on IFS 2 (1996c) 22-31.
- E. Szmidt and J. Kacprzyk, Intuitionistic fuzzy sets for more realistic group decision making, Proceedings of TRANSITIONS'97 (Warsaw, Poland, 1997a) 430-433.
- E. Szmidt and J. Kacprzyk, On measuring distances between intuitionistic fuzzy sets, Notes on IFS 3 (1997b) 1-13.
- Szmidt E. and Kacprzyk J. (1998a) Intuitionistic fuzzy linguistic quantifiers. Notes on IFS, Vol.3, No.5. pp. 111-122.
- 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.
- 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.
- Szmidt E. and Kacprzyk J. (1998d) Entropy for Intuitionistic Fuzzy Sets. Accepted for publication in Fuzzy Sets and Systems.
- Szmidt E. and Kacprzyk J. (1998e) Distances Between Intuitionistic Fuzzy Sets. Accepted for publication in Fuzzy Sets and Systems.
- 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.
- 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.
- L.A. Zadeh (1965) Fuzzy sets. Information and Control, 8 338-353.
- L.A. Zadeh (1968) Probability measures of fuzzy events. JMath.Anal.Appl. Vol.23, pp..421-427.
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