In this paper, we are particularly interested in addressing the multi-criteria aggregation problem in the information retrieval (IR) field. We propose a Choquet integral based approach for multidimensional relevance aggregation. The main originality of this operator is its capability in modelling interactions between the different relevance dimensions. The evaluation of the appropriateness of t...

The paper discusses integration in possibility theory, both in an ordinal and in a numerical (behavioral) context. It is shown that in an ordinal context, the fuzzy integral has an important part in at least three areas: the extension of possibility measures to larger domains, the construction of product measures from marginals and the definition of conditional possibilities. In a numerical (be...

Data envelopment analysis (DEA) is a non-parametric method for measuring the efficiencies of decision-making units (DMUs) by using set inputs and outputs. However, traditional DEA models always assume that or outputs are independent each other, which unrealistic in practical problems. To reflect interactions between outputs, Choquet integral employed models. The usually used to find some specif...

The present paper discusses an application of fuzzy measure and corresponding fuzzy integral for the evaluation of students failure reasons. From the result it is clearly seen that Choquet Integral has a good choice in Decision making.

We study in this paper the computation of Choquet optimal solutions in decision contexts involving multiple criteria or multiple agents. Choquet optimal solutions are solutions that optimize a Choquet integral, one of the most powerful tools in multicriteria decision making. We develop a new property that characterizes the Choquet optimal solutions. From this property, a general method to gener...

Assume that a decision maker assesses the worth of the lottery Xn for each n. Assume also that for each n, Xn is preferred to Y . Now, consider the situation where Xn converges, in some sense, to the lottery X. If X is preferred to Y , then the preference order is referred to as time continuous (Gilboa [7]). Information consisting of probabilities of some (but maybe not all) events induces an i...

An axiomatization of the concept of entropy of a discrete Choquet capacity is given. It is based on three axioms: the symmetry property, a boundary condition for which the entropy reduces to the classical Shannon entropy, and a generalized version of the well-known recursivity property. This entropy, recently introduced to extend the Shannon entropy to nonadditive measures, fulfills several pro...