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Issue:Laws of large numbers for M-observables

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http://ifigenia.org/wiki/issue:nifs/13/2/30-35
Title of paper: Laws of large numbers for M-observables
Author(s):
Petra Mazureková
Faculty of Natural Sciences, Matej Bel University, Department of Mathematics, Tajovskeho 40 974 01 Banska Bystrica, Slovakia
Presented at: 11th ICIFS, Sofia, Bulgaria, 28-30 April 2007
Published in: Conference proceedings, "Notes on IFS", Volume 13 (2007) Number 2, pages 30—35
Download:  PDF (2550  Kb, File info)
Abstract: In the paper M-observables are considered, their independence and law of large numbers. The proof is based on a representation of a sequence of M-observables by random variables. This method has been presented in [2].
Keywords: M-observable,M-state, convergence.
References:
  1. Krachounov, M.: Intuitionistic probability and intuitionistic fuzzy sets. In: First In¬ternational Workshop on Intuitionistic Fuzzy Sets, Generalized Nets and Knowledge Engeneering (E. El-Darzi. R. Atanassov, P. Chountas eds.) Univ. of Westminister, London 2006, 18-24.
  2. Riecan, B.: M-probability theory on IF events. Submitted to EUSFLAT 2007.
  3. Riecan, B.: Probability theory on IF events.In: A volume in honour of Daniele Mundici's 60th birthday Lecture Notes in Computer Science, Sringer, Berlin 2007.
  4. Riecan, B., Mundici, D.: Probability on MV-algebras. In:Handbook of Measure The¬ory (E. Pap ed) Elsevier, Amsterdam 2002, 869-909.
  5. Shilkret, N.: Maxitive measure and integration. Indag.Math. 33 (1971), 109-116.
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