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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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Journal of Applied Mathematics, 2014 The recent problem of network resource allocation is studied where pairs of users could be in a favourable situation, given that the allocation scheme is refined by some add-on technology. The general question here is whether the additional effort can be
Aoi Honda, Mario Köppen
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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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Some properties of Choquet integral based probability functions [PDF]
, 2015 The Choquet integral permits us to integrate a function with respect to a non-additive measure. When the measure is additive it corresponds to the Lebesgue integral.
Torra, Vicenc,, Torra, Vicenç
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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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Journal of Applied Mathematics, 2013 An effective decision making approach based on VIKOR and Choquet integral is developed to solve multicriteria group decision making problem with conflicting criteria and interdependent subjective preference of decision makers in a fuzzy environment where
Chunqiao Tan, Xiaohong Chen
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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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Twofold integral and multi-step Choquet integral
, 2018 In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral.
Narukawa, Yasuo, Torra, Vicenç
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IEEE Access, 2019 For the selective maintenance planning (SMP), the decision makers are required to select components to be maintained as well as how to repair within a finite break between missions considering limited time, cost, and other resources.
Lele Zhang +3 more
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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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