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http://ifigenia.org/wiki/issue:nifs/13/2/23-29
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Title of paper:
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On the probability theory of IF-events
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Author(s):
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Beloslav Riečan
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Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40 974 01 Banska Bystrica, Slovakia Mathematical Institute of Slovak Acad, of Sciences, Stefanikova 49 SK-81473 Bratislava
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Presented at:
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11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
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Published in:
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"Notes on IFS", Volume 13 (2007) Number 2, pages 23—29
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Download:
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PDF (2740 Kb, File info)
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Abstract:
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From a general point of view of t-norms and £-conorms there are considered some possibilities for the probability theory on IF-events.
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Keywords:
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IF-events, t-norms, probability.
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References:
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- K. Atanassov: Intuitionistic Fuzzy Sets: Theory and Applications, Phys-ica Verlag, New York 1999.
- P. Grzegorzewski, E. Mrowka: Probability of intuitionistic fuzzy events, in: Soft Methods in Probability, Statistics and Data Analysis (P. Grzegorzewski et al. eds.). Physica Verlag, New York 2002, 105 - 115.
- E. P. Klement, R. Mesiar, E. Pap: Triangular Norms. Kluwer, Dordrecht 2000.
- M. Krachounov: Intuitionistic probability and intuitionistic fuzzy sets, in: First Intern. Workshop on IFS, Generalized Nets and Knowledge Engineering (E. El-Darzi, K. Atanassov, P. Chountas eds.). Univ. of Westminster, London 2006, 18 - 24. 2006, 714-717.
- K. Lendelova: Measure theory on multivalued logics and its applications, PhD thesis, M.Bel University Banska Bystrica 2005.
- B. Riecan: On a problem of Radko Mesiar: general from of IF probabilities, Fuzzy Sets and Systems 152, 2006, 1485 - 1490.
- B. Riecan: Probability theory on intuitionistic fuzzy events, in: A volume in honour of Daniele Mundici's 60th birthday Lecture Notes in Computer Science, Springer, Berlin 2007.
- B. Riecan: M-probability theory on intuitionistic fuzzy events. Submitted to EUSFLAT'2007, Ostrava
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Citations:
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