Algèbre Constructive

Algèbre OLAP et langage graphique

This article deals with OLAP systems based on multidimensional model. The conceptual model we provide, represents data through a constellation (multi-facts) composed of several multi-hierarchy dimensions. In this model, data are displayed through multidimensional tables. We define a query algebra handling these tables. This user oriented algebra is composed of a closure core of OLAP operators a...

Une algèbre relationnelle bipolaire floue

RÉSUMÉ. Ce papier présente une extension de l’algèbre relationnelle dont l’objectif est de permettre l’utilisation de concepts bipolaires. Les requêtes considérées font intervenir deux parties : l’une qui exprime une contrainte (possiblement flexible), et l’autre un souhait (qui peut également être flexible). Le cadre utilisé est celui de relations bipolaires floues, où chaque nuplet est affect...

Contribution à l'algorithmique en algèbre différentielle

This thesis is dedicated to the study of nonlinear partial differential equations systems. The chosen approach is using differential algebra. Given a system of differential equations, we seek information about its solutions. TO do SO, we first compute particular systems (called differential regular chains) such that the union of their solutions coincide with the solutions of the initial system....

Team alien ALgèbre pour Identification et Estimation

Constructive Interactions Constructive Interactions

The new paradigm of “knowledge construction using experiential based and collaborative learning approaches” is an outstanding opportunity for interdisciplinary research. This document is an attempt to introduce and exemplify as much as possible using the lexicon of “social sciences”, considerations and tools belonging to “artificial intelligence” (e.g.: the machine learning tradition). In the p...