Issue:Ergodic theorem on B-structures

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http://ifigenia.org/wiki/issue:nifs/15/1/36-41

Title of paper: Ergodic theorem on B-structures Author(s): Lenka Lašová Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovakia lasova@fpv.umb.sk Magdaléna Renčová Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica, Slovakia rencova@fpv.umb.sk Presented at: 13th ICIFS, Sofia, 9-10 May 2009 Published in: Conference proceedings, "Notes on IFS", Volume 15 (2009) Number 1, pages 36—41 Download:  PDF (128  Kb, File info) Abstract: 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. Keywords: B-structure, Еrgodic theorem. References: 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. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.