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...

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Fuzzy rough set theory can be used as a tool for dealing with inconsistent data when there is gradual notion of indiscernibility between objects. It does this by providing lower and upper approximations concepts. In classical fuzzy sets, the are determined using minimum maximum operators, respectively. This undesirable machine learning applications, since it makes these sensitive to outlying sa...

This paper presents a method for solving the multicriteria group decision making problem in an uncertain linguistic environment. To ensure an effective aggregation of the uncertain linguistic variables in multicriteria group decision making for adequately modeling the uncertainty and imprecision of the decision making process, an uncertain linguistic Choquet integral operator is proposed. A met...

We investigate the distribution functions and the moments of the so-called Choquet integral, also known as the Lovász extension, when regarded as a real function of a random sample drawn from a continuous population. Since the Choquet integral includes weighted arithmetic means, ordered weighted averaging operators, and lattice polynomials as particular cases, our results encompass the correspo...

We propose an extension of the Sugeno integral for negative numbers, in the spirit of the symmetric extension of Choquet integral, also called Šipoš integral. Our framework is purely ordinal, since the Sugeno integral has its interest when the underlying structure is ordinal. We begin by defining negative numbers on a linearly ordered set, and we endow this new structure with a suitable algebra...