Opérateurs de Fuchs non linéaires

Résolution de problèmes non linéaires avec continuum de solutions

We address the issue of constructing concise inner and outer approximations of the complete solution set for non-linear constraint satisfaction problems (CSPs). Most of the working complete solvers for numerical CSPs are designed to delivering point-wise solutions with an arbitrary accuracy. This works generally well for systems with isolated solutions but less well when there is a continuum of...

Application de la théorie de la perturbation des opérateurs linéaires à l'obtention de bornes d'erreurs sur les éléments propres et à leur calcul

Opérateurs D'amélioration

We introduce a new class of change operators. They are a generalization of usual iterated belief revision operators. The idea is to relax the success property, so the new information is not necessarily believed after the improvement. But its plausibility has increased in the epistemic state. So, iterating the process sufficiently many times, the new information will be finally believed. We give...

A propos de la sémantique de divers opérateurs de division de relations

This paper is concerned with flexible queries addressed to regular relational databases whose main goal is to overcome some of the limitations of Boolean queries. Introducing preferences inside selection conditions allows for the discrimination between more or less satisfactory answers according to the preferences appearing in the query. The operation known as the relational division whose inte...

Analyse qualitative de la dynamique de réseaux de régulation génique par des modèles linéaires par morceaux

The functioning and development of living organisms is controlled by large and complex networks of genes, proteins, small molecules, and their interactions, so-called genetic regulatory networks. In this review we discuss a method for the qualitative modeling and simulation of genetic regulatory networks which is well-adapted to the current lack of precise and quantitative biological data. The ...