The Choquet integral for the aggregation of interval scales in multicriteria decision making [PDF]
This paper addresses the question of which models fit with information concerning the preferences of the decision maker over each attribute, and his preferences about aggregation of criteria (interacting criteria).
Michel Grabisch, Christophe Labreuche
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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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A Representation of Preferences by the Choquet Integral with Respect to a 2-Additive Capacity [PDF]
In the context of Multiple criteria decision analysis, we present the necessary and sufficient conditions allowing to represent an ordinal preferential information provided by the decision maker by a Choquet integral w.r.t a 2-additive capacity.
Michel Grabisch +2 more
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Bipolarization of posets and natural interpolation [PDF]
The Choquet integral w.r.t. a capacity can be seen in the finite case as a parsimonious linear interpolator between vertices of $[0,1]^n$. We take this basic fact as a starting point to define the Choquet integral in a very general way, using the ...
Michel Grabisch, Christophe Labreuche
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Real Options under Choquet-Brownian Ambiguitys [PDF]
Real options models characterized by the presence of “ambiguity” (or “Knightian uncertainty”) have been recently proposed. But based on recursive multiple-priors preferences, they typically describe ambiguity through a range of Geometric Brownian motions
André Lapied +2 more
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Induced aggregation operators in decision making with the Dempster-Shafer belief structure [PDF]
We study the induced aggregation operators. The analysis begins with a revision of some basic concepts such as the induced ordered weighted averaging (IOWA) operator and the induced ordered weighted geometric (IOWG) operator.
Jose M. Merigo Lindahl +1 more
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Thirtieth Illinois Custom Spray Operators Training School: summaries of presentations [PDF]
, 1978 Made available in DSpace on 2016-03-17T21:24:48Z (GMT). No. of bitstreams: 2 749322_1978.pdf: 23378686 bytes, checksum: b92cc1d406bf1a5f508ee2da8a5f595d (MD5) license.txt: 4846 bytes, checksum: 927d59ba442de31571446841df3d90ca (MD5) Previous issue date:
Illinois Custom Spray Operators' School
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Quantitative Approximation by Choquet Integrals
, 2018 Here we present the quantitative approximation of positive sublinear operators to the unit operator. These are given a precise Choquet integral interpretation.
Anastassiou, George A. +1 more
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Graph Topologies, Gap Metrics and Robust Stability for Nonlinear Systems
, 2005 Graph topologies for nonlinear operators which admit coprime factorisations are defined w.r.t. a gain function notion of stability in a general normed signal space setting.
Bian, Wenming, French, Mark
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Shape preserving properties and monotonicity properties of the sequences of Choquet type integral operators [PDF]
, 2018 In this paper, for the univariate Bernstein-Kantorovich-Choquet, Szasz-Kantorovich-Choquet, Baskakov-Kantorovich-Choquet and Bernstein-Durrmeyer-Choquet operators written in terms of the Choquet integrals with respect to monotone and submodular set ...
Sorin Gal
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