Issue:Conditional probability on IF-events

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Title of paper: Conditional probability on IF-events Author(s): Veronika Valenčáková Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica valencak@fpv.umb.sk Presented at: 3rd International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia. Published in: Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, pages 22—26 Download:  PDF (253  Kb, File info) Abstract: Probability on collections of IF-sets can be considered as a generalization of the classical probability theory on σ-algebras of sets. The aim of this contribution is to formulate the version of the conditional probability on IF-events and show its properties. The paper is based on the idea for Łukasiewicz implication, but now there are a lot of different implications in the theory of IF-sets. Keywords: Intuitionistic fuzzy event, Conditional probability References: Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. In Physica Verlag, New York. Atanassov, K. (2001). Remarks on the conjunctions, disjunctions and implications of the intuitionistic fuzzy logic. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems Vol. 9, No. 1, 55-65. Atanassov, K. (2006). On eight new intuitionistic fuzzy implications. Proc. of 3rd Int. IEEE Conf. "Intelligent Systems" IS06, London, 4-6 Sept. 2006, 741-746. Cignoli, R. L. O., D’Ottaviano, I. M. L., Mundici, D. (2000). Algebraic Foundations of Many-valued Reasoning. In Kluwer Academic Publishers, Dordrecht. Dvurecenskij, A., Pulmannová, S. (2000). New Trends in Quantum Structures. In Kluwer Academic Publishers, Dordrecht. Lendelová, K. (2006). Conditional IF-probability. In Soft Methods for Integrated Uncertainty Modelling, Advances in Soft Computing, Springer. Riecan, B., Mundici, D. (2002). Probability on MV-algebras. In Handbook of Measure Theory (E. Pap. ed.), Elsevier, Amsterdam, 869-909. Riecan, B., Neubrunn, T. (1997). Integral, Measure and Ordering. In Kluwer Academic Publishers, Dordrecht and Ister Science, Bratislava. Valencáková, V. Conditional probability on the product MV algebras induced by IF-events. Submitted in Mathematica Slovaca. 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.