Results 31 to 40 of about 2,185,256 (143)
A characterization of the 2-additive Choquet integral through cardinal information [PDF]
In the context of multiple criteria decision analysis, we present the necessary and sufficient conditions to represent a cardinal preferential information by the Choquet integral w.r.t. a 2-additive capacity.
Michel Grabisch +2 more
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A Discrete Choquet Integral for Ordered Systems [PDF]
A model for a Choquet integral for arbitrary finite set systems is presented. The model includes in particular the classical model on the system of all subsets of a finite set.
Ulrich Faigle, Michel Grabisch
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Autocontinuity and convergence theorems for the Choquet integral [PDF]
Our aim is to provide some convergence theorems for the Choquet integral with respect to various notions of convergence. For instance, the dominated convergence theorem for almost uniform convergence is related to autocontinuous set functions ...
Yann Rébillé
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On non-monotonic Choquet integrals as aggregation functions [PDF]
This paper deals with non-monotonic Choquet integral, a generalization of the regular Choquet integral. The discrete non-monotonic Choquet integral is considered under the viewpoint of aggregation.
Silvio Giove, Marta Cardin
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Choquet Integrals With Respect to Non-Monotonic Set Functions [PDF]
This paper introduces the signed Choquet integral, i.e., a nonmonotonic generalization of the Choquet integral. Applications to welfare theory, multi-period optimization, and asset pricing are described.Choquet integral;comonotonicity;arbitrage;time ...
De Waegenaere, A.M.B., Wakker, P.P.
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An empirical study of statistical properties of Choquet and Sugeno integrals [PDF]
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 ...
Eric Raufaste, Michel Grabisch
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Volterra-Choquet nonlinear operators
, 2020 In this paper we study to what extent properties of the classical linear Volterra operators can be transferred to the nonlinear Volterra-Choquet operators, obtained by replacing the classical linear integral with respect to the Lebesgue measure, by the ...
Gal, Sorin G.
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Choquet integral analytic inequalities
, 2020 Based on an amazing result of Sugeno [15], we are able to transfer classic analytic integral inequalities to Choquet integral setting. We give Choquet integral inequalities of the following types: fractional-Polya, Ostrowski, fractional Ostrowski ...
ANASTASSIOU, George A.
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Modelling fraud detection by attack trees and Choquet integral [PDF]
Modelling an attack tree is basically a matter of associating a logical ÒndÓand a logical ÒrÓ but in most of real world applications related to fraud management the Ònd/orÓlogic is not adequate to effectively represent the relationship between a parent ...
Silvio Giove +2 more
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A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid [PDF]
The main advances regarding the use of the Choquet and Sugeno integrals in multi-criteria decision aid over the last decade are reviewed. They concern mainly a bipolar extension of both the Choquet integral and the Sugeno integral, interesting particular
Michel Grabisch, Christophe Labreuche
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