A graphical interpretation of the Choquet integral
- 1 January 2000
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Fuzzy Systems
- Vol. 8 (5) , 627-631
- https://doi.org/10.1109/91.873585
Abstract
International audienceThe 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 authorKeywords
This publication has 10 references indexed in Scilit:
- Interaction transform of set functions over a finite setInformation Sciences, 1999
- An axiomatic approach to the concept of interaction among players in cooperative gamesInternational Journal of Game Theory, 1999
- k-order additive discrete fuzzy measures and their representationFuzzy Sets and Systems, 1997
- Alternative Representations of Discrete Fuzzy Measures for Decision MakingInternational Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 1997
- Fundamentals of Uncertainty Calculi with Applications to Fuzzy InferencePublished by Springer Nature ,1995
- Some quantities represented by the Choquet integralFuzzy Sets and Systems, 1993
- An interpretation of fuzzy measures and the Choquet integral as an integral with respect to a fuzzy measureFuzzy Sets and Systems, 1989
- On ordered weighted averaging aggregation operators in multicriteria decisionmakingIEEE Transactions on Systems, Man, and Cybernetics, 1988
- ⊥-Decomposable measures and integrals for Archimedean t-conorms ⊥Journal of Mathematical Analysis and Applications, 1984
- Theory of capacitiesAnnales de l'institut Fourier, 1954