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An empirical study of statistical properties of Choquet and Sugeno integrals

Listed author(s):
  • Michel Grabisch


    (CES - Centre d'économie de la Sorbonne - UP1 - Université Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Éric Raufaste


    (CLLE-LTC - Cognition, Langues, Langage, Ergonomie - Université Michel de Montaigne - Bordeaux 3 - EPHE - École pratique des hautes études - UT2 - Université Toulouse 2 - CNRS - Centre National de la Recherche Scientifique)

This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses on two topics: the distribution of the output of these integrals when the input is corrupted with noise, and the robustness of these models, when they are identified using some set of learning data through some learning procedure.

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Paper provided by HAL in its series Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) with number halshs-00445168.

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Date of creation: Aug 2008
Publication status: Published in IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2008, 16 (4), pp.839-850. 〈10.1109/TFUZZ.2008.917295〉
Handle: RePEc:hal:cesptp:halshs-00445168
DOI: 10.1109/TFUZZ.2008.917295
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