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http://ifigenia.org/wiki/issue:nifs/15/1/36-41
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| Title of paper:
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Ergodic theorem on B-structures
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| Author(s):
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| Lenka Lašová
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| Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovakia
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| lasova@fpv.umb.sk
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| Magdaléna Renčová
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| Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovakia
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| rencova@fpv.umb.sk
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| Presented at:
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13th ICIFS, Sofia, 9-10 May 2009
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| Published in:
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Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 1, pages 36—41
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| Download:
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 PDF (128 Kb, File info)
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| Abstract:
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In the paper the extended individual ergodic theorem for B-structures with a state is presented. The classical ergodic theorem is formulated for ergodic mapping on Ω, where (Ω; S; P) is a probability space and ξ:Ω→R is an integrable random variable. In our case S is replaced by a B-structure B and integrable random variable is replaced by an integrable observable.
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| Keywords:
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B-structure, Еrgodic theorem.
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| References:
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- K. Cunderlikova-Lendelova and B. Riecan. Probability on B-structures. Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Academic Publishing House EXIT, pp. 33-60, 2008.
- T. Neubrunn and B. Riecan. Integral, measure and ordering, Dordrecht, Kluwer, 1997.
- B. Riecan. Representation of probabilities on IFS events. Advances in Soft Computing Soft Methodology and Random Information Systems, Springer, Berlin 234-246, 2004.
- A. Dvurecenskij. States on pseudo-MV-algebras. Studia logica, 68, 301-327, 2001.
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