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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:
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  2. 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.
  3. 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.
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  6. Lendelová, K. (2006). Conditional IF-probability. In Soft Methods for Integrated Uncertainty Modelling, Advances in Soft Computing, Springer.
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  9. Valencáková, V. Conditional probability on the product MV algebras induced by IF-events. Submitted in Mathematica Slovaca.
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