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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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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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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Modeling attitudes toward uncertainty through the use of the Sugeno integral [PDF]
The aim of the paper is to present under uncertainty, and in an ordinal framework, an axiomatic treatment of the Sugeno integral in terms of preferences which parallels some earlier derivations devoted to the Choquet integral.
Michel Grabisch +2 more
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Capacities and Games on Lattices: A Survey of Result [PDF]
We provide a survey of recent developments about capacities (or fuzzy measures) and ccoperative games in characteristic form, when they are defined on more general structures than the usual power set of the universal set, namely lattices. In a first part,
Michel Grabisch
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Contextual algorithm for decision of fuzzy estimation problems with network-like structure of criteria on the basis of fuzzy measures Sugeno [PDF]
In this article the algorithm for the decision of alternatives' estimation problems for following conditions is considered. Values of alternative's characteristics (properties) are fuzzy. They are formalized as fuzzy sets.
Bocharnikov, Victor, Sveshnikov, Sergey
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Applying a complexity-based Choquet integral to evaluate students' performance [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.
Shieh, Jiunn-I ; Wu, Hsin-Hung ; Liu, Hsiang-Chuan +1 more
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Interactive multi-criteria group decision-making with probabilistic linguistic information for emergency assistance of COVID-19. [PDF]
Appl Soft Comput, 2021 Wan SP, Huang Cheng WB, Dong JY.
europepmc +1 more source
Real Options under Choquet-Brownian Ambiguity [PDF]
Real options models characterized by the presence of ambiguity have been recently proposed. But based on recursive multiple-priors approaches to solve ambiguity, these seminal models reduce individual preferences to extreme pessimism by considering only ...
André Lapied +2 more
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Pessimistic portfolio allocation and Choquet expected utility [PDF]
Recent developments in the theory of choice under uncertainty and risk yield a pessimistic decision theory that replaces the classical expected utility criterion with a Choquet expectation that accentuates the likelihood of the least favorable outcomes ...
Gregory Kordas +2 more
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