Title of paper:
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Conditional probability on IF-events
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Author(s):
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Veronika Valenčáková
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Faculty of Natural Sciences, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica
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valencak@fpv.umb.sk
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Presented at:
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3rd International Workshop on Intuitionistic Fuzzy Sets, 3 October 2007, Banská Bystrica, Slovakia.
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Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 13, Number 4, pages 22—26
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Download:
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PDF (253 Kb, File info)
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Abstract:
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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.
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Keywords:
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Intuitionistic fuzzy event, Conditional probability
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References:
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- 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.
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Citations:
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See also
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Conditional probability and independence of intuitionistic fuzzy events by Przemysław Grzegorzewski
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