@INPROCEEDINGS{RFIA06:SDP, author = {Julien Seinturier and Pierre Drap and Odile Papini}, title = {Un cadre réversible pour la fusion de bases propositionnelles}, year = {2006}, editor = {Thierry Brouard and Jean-Jacques Rousselle}, address = {Tours, France}, publisher = {Presses Universitaires François Rabelais}, pages = {139--149}, month = {January 25-27}, organization = {Laboratoire d'Informatique de l'Université Francois-Rabelais de Tours}, booktitle = {Actes du 15e congrès francophone Reconnaissance des Formes et Intelligence Artificielle (RFIA2006)}, url = {http://www.antsearch.univ-tours.fr/rfia2006/}, abstract = {The problem of merging multiple sources information is central in several domains of computer science. In knowledge representation for artificial intelligence, several approaches have been proposed for merging propositional bases like, for example, the one based on Hamming distance or the possiblistic approach. However none of these approaches allows us the reversibility of the merging process. In this paper, we propose a very general reversible framework for merging ordered or not pieces of information coming from various sources either ordered or not. A semantic approach of fusion in the proposed reversible framework is first presented, stemming from a representation of total pre-orders by means of polynomials on real numbers. The syntactic counter-part is then presented, based on belief bases weighted by polynomials on real numbers. We show the equivalence between semantic and syntactic approaches. Finally, we show how the reversible framework is suitable for easily representing the approach of merging propositional bases based on Hamming distance and how the proposed framework is suitable for generalizing the revision of an epistemic state by an epistemic state to the fusion of epistemic states.} }