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Part of the book series: Advances in Soft Computing ((AINSC,volume 37))

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Abstract

In this lecture, I expound and comment on a model, or even more ambitiously, a theory, for representing, and drawing inferences from, vague probability assessments. The details of this theory have been published in two papers, the first [3] dealing with its behavioural underpinnings, and the second [1, 2] with its deeper mathematical aspects.

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References

  1. G. de Cooman. A behavioural model for vague probability assessments. Fuzzy Sets and Systems, 154:305–358, 2005. With discussion.

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  2. G. de Cooman. Further thoughts on possibilistic previsions: a rejoinder. Fuzzy Sets and Systems, 154:375–385, 2005.

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  3. G. de Cooman and P. Walley. A possibilistic hierarchical model for behaviour under uncertainty. Theory and Decision, 52:327–374, 2002.

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  4. P. Walley. Statistical Reasoning with Imprecise Probabilities. Chapman and Hall, London, 1991.

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  5. L. A. Zadeh. Fuzzy probabilities. Information Processing and Management, 20:363–372, 1984.

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  6. L. A. Zadeh. Toward a perception-based theory of probabilistic reasoning with imprecise probabilities. Journal of Statistical Planning and Inference, 105:233–264, 2002.

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© 2006 Springer

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Cooman, G.d. (2006). Reasoning with Vague Probability Assessments. In: Lawry, J., et al. Soft Methods for Integrated Uncertainty Modelling. Advances in Soft Computing, vol 37. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34777-1_2

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  • DOI: https://doi.org/10.1007/3-540-34777-1_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-34776-7

  • Online ISBN: 978-3-540-34777-4

  • eBook Packages: EngineeringEngineering (R0)

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