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http://ifigenia.org/wiki/issue:nifs/19/3/42-46
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| Title of paper:
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Taylor's theorem for functions, defined on Atanassov IF-sets
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| Author(s):
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| Beloslav Riečan
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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
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| riecan@mat.savba.sk , riecan@fpv.umb.sk
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| Published in:
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"Notes on IFS", Volume 19, 2013, Number 3, pages 42—46
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| Download:
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 PDF (142 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy event, Law of large numbers.
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| AMS Classification:
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03E72
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| References:
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- Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg, 1999.
- 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.
- Ciungu, L. C., B. Riečan. Representation theorem for probabilities on IFS-events. Information Sciences Vol. 180, 2010, 793–798.
- 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.
- 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.
- Riečan, B. On a problem of Radko Mesiar (in preparation)
- Riečan, B. Analysis of fuzzy logic models (in preparation)
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| Citations:
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