Issue:On the law of large numbers for IF-events

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http://ifigenia.org/wiki/issue:nifs/19/3/42-46
Title of paper: Taylor's theorem for functions, defined on Atanassov IF-sets
Author(s):
Beloslav Riečan
Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
Mathematical Institute of Slovak Acad. of Sciences, Štefánikova 49, SK-81473 Bratislava
riecanAt sign.pngmat.savba.skriecanAt sign.pngfpv.umb.sk
Presented at: 17th International Conference on Intuitionistic Fuzzy Sets, 1–2 November 2013, Sofia, Bulgaria
Published in: "Notes on IFS", Volume 19, 2013, Number 3, pages 42—46
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Abstract: A family F of IF-events is considered with a state m : F → [0, 1] and a version of the law of large numbers is presented for sequences of F-valued observables.
Keywords: Intuitionistic fuzzy event, Law of large numbers.
AMS Classification: 03E72
References:
  1. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg, 1999.
  2. Ciungu, L. C., B. Riečan. General form of probabilities on IF-sets. Proc. of WILF’2009, Palermo, Italy. Lecture Notes in Computer sciences, Springer, Berlin, Vol. 5571, 2009, 101–107.
  3. Ciungu, L. C., B. Riečan. Representation theorem for probabilities on IFS-events. Information Sciences Vol. 180, 2010, 793–798.
  4. Grzegorzewski, P., E. Mrówka. Probability of intuitionistic fuzzy events. In: Soft Methods in Probability, Statistics and Data Analysis (P. Grzegorzewski et al. eds.), Springer, New York, 2002, 105–115.
  5. Riečan, B. A descriptive definition of the probability on intuitionistic fuzzy sets. Proc. of EUSFLAT’ 03 (M. Wagenecht and R. Hampet eds.), Zittau - Goerlitz Univ. Appl. Sci Dordrecht, 2003, 263–266.
  6. Riečan, B. On a problem of Radko Mesiar (in preparation)
  7. Riečan, B. Analysis of fuzzy logic models (in preparation)
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