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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, 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:
  1. 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.
  2. T. Neubrunn and B. Riecan. Integral, measure and ordering, Dordrecht, Kluwer, 1997.
  3. B. Riecan. Representation of probabilities on IFS events. Advances in Soft Computing Soft Methodology and Random Information Systems, Springer, Berlin 234-246, 2004.
  4. A. Dvurecenskij. States on pseudo-MV-algebras. Studia logica, 68, 301-327, 2001.
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