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Transfer Learning for the Choquet Integral
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019The Choquet integral (ChI) is a proven tool for information aggregation. In prior work, we showed that learning a ChI from data results in missing variables. Herein, we explore two ways to transfer a known ChI from a source domain to a new under sampled target domain.
Bryce Murray +7 more
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On the Robustness for the Choquet Integral
2010Preference modeling consists in constructing a preference relation from initial preferences given by a decision maker. We are interested in the preference relation obtained from the use of the Choquet integral. We give some properties related to the completeness of the necessary preference relation and its comparison with the traditional approach where
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The Choquet integral in Riesz space
Fuzzy Sets and Systems, 2008The author develops a theory of Choquet integration with respect to a Riesz space-valued non-additive measure. In particular, several convergence theorems are proved. Moreover, in an appendix is given an overview of the theory of Riemann-Stieltjes integration in Riesz spaces.
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Choquet Integration on Set Systems
2010We present a framework for a general Choquet integral on systems F of measurable sets relative to a finite universeNthat do not necessarily include all nonempty subsets. In this context, many functions become nonmeasurable, and the classical Choquet integral does not apply.
Faigle, Ulrich +2 more
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On Choquet Integral Risk Measures
2010This paper aims at presenting the state-of-the-art of Choquet integral in quantifying the uncertainty in financial economics. Not only Choquet integral becomes a suitable model for defining financial coherent risk measures in the investment context, it seems also possible to use Choquet integral calculations as a means for asset pricing.We address also
Hung T. Nguyen 0002 +1 more
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Robust optimization of the Choquet integral
Fuzzy Sets and Systems, 2013We study the problem of the Choquet integral maximization for the case when preferences of the decision maker do not define a unique capacity but rather some convex set. We introduce a robust version of the problem based on the minimax-regret criterion and construct a global optimization algorithm.
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Indices for Introspection on the Choquet Integral
2014Fuzzy measures (FMs) encode the worth (or importance) of different subsets of information sources in the fuzzy integral (FI). It is well-known that the Choquet FI (CFI) often reduces to an elementary aggregation operator for different selections of the FM.
Stanton R. Price +4 more
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A note on ?d-Choquet integrals: Choquet integrals based on dissimilarities?
[EN] The d-Choquet integral extends the classical Choquet integral by substituting the difference operator with a restricted dissimilarity function. Bustince et al. introduced Property (P1) in 2021 to ensure the boundedness of this generalized integral within the unit interval. In this note, we emphasize the necessity of revising this property.openaire +3 more sources
Characterization of k-Choquet Integrals
2018In the present paper we characterize the class of all n-ary k-Choquet integrals and we find a minimal subset of points in the unit hypercube, the values on which fully determine the k-Choquet integral.
Lubomíra Horanská, Zdenko Takác
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On Some Generalizations of the Choquet Integral
2019In the present paper we survey several generalizations of the discrete Choquet integrals and we propose and study a new one. Our proposal is based on the Lovasz extension formula, in which we replace the product operator by some binary function F obtaining a new n-ary function \(\mathfrak {I}^F_{m}\).
Humberto Bustince +4 more
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