Abstract
In the paper we deal with fuzzy sets under the interpretation given in a coherent probabilistic setting. We provide a general Bayesian inference process involving fuzzy and partial probabilistic information by showing its peculiarities.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Coletti, G., Scozzafava, R.: Characterization of Coherent Conditional Probabilities as a Tool for their Assessment and Extension. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 4, 103–127 (1996)
Coletti, G., Scozzafava, R.: Conditional probability, fuzzy sets and possibility: a unifying view. Fuzzy Sets and Systems 144, 227–249 (2004)
Coletti, G., Scozzafava, R.: Probabilistic Logic in a Coherent Setting. Trends in Logic, vol. 15. Kluwer, Dordrecht (2002)
Coletti, G., Scozzafava, R., Vantaggi, B.: Possibility measures in probabilistic inference. In: Soft Methodology for Handling Variability and Imprecision, pp. 51–58 (2008)
Coletti, G., Scozzafava, R., Vantaggi, B.: Integrated Likelihood in a Finitely Additive Setting. In: Sossai, C., Chemello, G. (eds.) ECSQARU 2009. LNCS (LNAI), vol. 5590, pp. 554–565. Springer, Heidelberg (2009)
Coppi, R., Gil, M.A., Kiers, H.A.L. (eds.): The Fuzzy Approach to Statistical Analysis. Computational Statistics & Data Analysis 51, 1–452 (2006)
de Finetti, B.: Sull’impostazione assiomatica del calcolo delle probabilitá. Annali Univ. di Trieste 19, 29–81 (1949); English translation in: Probability, Induction, Statistics, ch. 5. Wiley, London
Denneberg, D.: Non-Additive Measure and Integral. Kluwer, Dordrecht (1994)
Dubois, D., Lubiano, M.A., Prade, H., Gil, M.A., Grzegorzewski, P., Hryniewicz, O. (eds.): Soft Methods for Handling Variability and Imprecision Series. Advances in Intelligent and Soft Computing, vol. 48. Springer, Heidelberg
Fagin, R., Halpern, J.: Uncertainty, belief and probability. Computational Intelligence 7, 160–173 (1991)
Grzegorzewski, P., Hryniewicz, O., Gil, M.A. (eds.): Soft Methods in Probability, Statistics and Data Analysis. Advances in Intelligent and Soft Computing, vol. 16. Springer, Heidelberg (2002)
Lawry, J., Miranda, E., Bugarin, A., Li, S., Gil, M.A., Grzegorzewski, P., Hryniewicz, O. (eds.): Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing. Springer, Heidelberg (2006)
Lopez-Diaz, M.C., Gil, M.A., Grzegorzewski, P., Hryniewicz, O., Lawry, J.: Soft Methodology and Random Information Systems Series. Advances in Intelligent and Soft Computing, vol. 26. Springer, Heidelberg (2004)
Popper, K.R.: The Logic of Scientific Discovery. Routledge, London (1959)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
Zadeh, L.A.: Discussion: Probability theory and fuzzy logic are complementary rather than competitive. Technometrics 37, 271–276 (1995)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Coletti, G., Vantaggi, B. (2010). Inference with Fuzzy and Probabilistic Information. In: Hüllermeier, E., Kruse, R., Hoffmann, F. (eds) Computational Intelligence for Knowledge-Based Systems Design. IPMU 2010. Lecture Notes in Computer Science(), vol 6178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14049-5_68
Download citation
DOI: https://doi.org/10.1007/978-3-642-14049-5_68
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14048-8
Online ISBN: 978-3-642-14049-5
eBook Packages: Computer ScienceComputer Science (R0)