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Lexicographic Refinements of Sugeno Integrals

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4724))

Abstract

This paper deals with decision-making under uncertainty when the worth of acts is evaluated by means of Sugeno integral on a finite scale. One limitation of this approach is the coarse ranking of acts it produces. In order to refine this ordering, a mapping from the common qualitative utility and uncertainty scale to the reals is proposed, whereby Sugeno integral is changed into a Choquet integral. This work relies on a previous similar attempt at refining possibilistic preference functionals of the max-min into a so-called big-stepped expected utility, encoding a very refined qualitative double lexicographic ordering of acts.

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Dubois, D., Fargier, H. (2007). Lexicographic Refinements of Sugeno Integrals. In: Mellouli, K. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2007. Lecture Notes in Computer Science(), vol 4724. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75256-1_54

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  • DOI: https://doi.org/10.1007/978-3-540-75256-1_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75255-4

  • Online ISBN: 978-3-540-75256-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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