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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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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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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Inconsistency and non-additive Choquet integration in the Analytic Hierarchy Process [PDF]
We propose to extend the aggregation scheme of Saaty’s AHP, from the stan- dard weighted averaging to the more general Choquet integration. In our model, a measure of inconsistency between criteria is derived from the main pairwise comparison matrix and ...
Ricardo Alberto Marques Pereira +1 more
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A review of methods for capacity identification in Choquet integral based multi-attribute utility theory: Applications of the Kappalab R package [PDF]
The application of multi-attribute utility theory whose aggregation process is based on the Choquet integral requires the prior identification of a capacity. The main approaches to capacity identification proposed in the literature are reviewed and their
Patrick MEYER +2 more
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New horizon in fuzzy distributions: statistical distributions in continuous domains generated by Choquet integral. [PDF]
Soft comput, 2023 Mehri-Dehnavi H, Agahi H, Mesiar R.
europepmc +1 more source
Updating Choquet Integrals , Consequentialism and Dynamic Consistency [PDF]
Choquet capacities have been used to represent decision makers’ beliefs in order to generalise the expected utility approach. Conditional capacities have to be defined for dynamic choice situations where information may modify the decision maker future ...
André Lapied +2 more
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Applying a complexity-based Choquet integral to evaluate students [PDF]
, 2010 [[abstract]]The weighted arithmetic mean and the regression methods are the most often used operators to aggregate criteria in decision making problems with the assumption that there are no interactions among criteria.
Jiunn-I Shieh ; Hsin-Hung Wu
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The Symmetric Sugeno Integral [PDF]
We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called \Sipos\ integral.
Michel Grabisch
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