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Issue:On the probability theory of IF-events

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Title of paper: On the probability theory of IF-events
Author(s):
Beloslav Riečan
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
Presented at: 11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 13 (2007) Number 2, pages 23—29
Download:  PDF (2740  Kb, File info)
Abstract: From a general point of view of t-norms and £-conorms there are considered some possibilities for the probability theory on IF-events.
Keywords: IF-events, t-norms, probability.
References:
  1. K. Atanassov: Intuitionistic Fuzzy Sets: Theory and Applications, Phys-ica Verlag, New York 1999.
  2. 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.
  3. E. P. Klement, R. Mesiar, E. Pap: Triangular Norms. Kluwer, Dordrecht 2000.
  4. 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.
  5. K. Lendelova: Measure theory on multivalued logics and its applications, PhD thesis, M.Bel University Banska Bystrica 2005.
  6. B. Riecan: On a problem of Radko Mesiar: general from of IF probabilities, Fuzzy Sets and Systems 152, 2006, 1485 - 1490.
  7. 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.
  8. B. Riecan: M-probability theory on intuitionistic fuzzy events. Submitted to EUSFLAT'2007, Ostrava
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