Axiomatizations of the Choquet integral on general decision spaces [PDF]
, 2017 PhDWe propose an axiomatization of the Choquet integral model for the general case of a heterogeneous product set X = X1 Xn. Previous characterizations of the Choquet integral have been given for the particular cases X = Y n and X = Rn. However,
TIMONIN, MIKHAIL
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Control Sequence Ranking for Critical System Based on Health of Equipment Thanks to Choquet Integral. [PDF]
Front Artif Intell, 2020 Bouaziz MF +3 more
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Choquet integral with respect to sigma-fuzzy measure
, 2010 [[abstract]]Both the well known fuzzy measures, λ-measure and P-measure, have only one formulaic solution, the former is not a closed form, and the latter not sensitive enough.
Liu, Hsiang-Chuan ; Wu, Der-Bang ; Jheng, Yu-Du ; Chen, Chin-Chun ; Chien, Maw-Fa ; Sheu, Tian-Wei
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A Comparison: Fuzzy Signatures and Choquet Integral
, 2016 Fuzzy Signatures are hierarchical multi aggregative descriptors of objects. They have reduced computational complexity compared to formal fuzzy rule based systems.
Mendis, B Sumudu, Gedeon, Tamas (Tom)
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On Choquet Integrals and Pointwise Estimates
We consider inequalities where integrals are defined in the sense of Choquet with respect to Hausdorff content. We study cases where continuously differentiable functions are defined on open, connected sets with so much regularity that there exists a pointwise estimate between the values of a function and its gradient under the maximal operator or the ...
Harjulehto Petteri +1 more
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The Choquet integral as a linear interpolator
, 2004 International audienceWe show that the Choquet integral is the unique linear interpolator between vertices of the $[0, 1]^n$ hypercube, using the least possible number of vertices.
Grabisch, Michel
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Identification of Priority Areas for Soil and Water Conservation Planning Based on Multi-Criteria Decision Analysis Using Choquet Integral. [PDF]
Int J Environ Res Public Health, 2020 Zhang H +7 more
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Breast cancer survival prognosis using the graph convolutional network with Choquet fuzzy integral. [PDF]
Sci Rep, 2023 Palmal S, Arya N, Saha S, Tripathy S.
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Choquet Integrals With Respect to Non-Monotonic Set Functions
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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Differentially private Choquet integral : extending mean, median, and order statistics
The Choquet integral is a well known aggregation function that generalizes several other well known functions. For example, appropriate parameterizations reduce a Choquet integral to the arithmetic mean, the weighted mean, order statistics, and linear ...
Torra, Vicenç, Torra, Vicenç,
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