A graphical interpretation of the Choquet integral

Michel Grabisch 1
1 SYSDEF - Systèmes d'aide à la décision et à la formation
LIP6 - Laboratoire d'Informatique de Paris 6
Abstract : The Choquet integral (1953) is a fuzzy measure used as a powerful aggregation operator over a finite set of elements. We present a graphical interpretation of the Choquet integral, viewed as an aggregation operator in the case of two elements. The interpretation relies on the interaction representation introduced by the author.
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Submitted on : Monday, September 7, 2015 - 5:48:58 PM
Last modification on : Saturday, December 8, 2018 - 1:27:16 AM

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Michel Grabisch. A graphical interpretation of the Choquet integral. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, 2000, 8 (5), pp.627-631. ⟨10.1109/91.873585⟩. ⟨hal-01194918⟩

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