On the consensus of closure systems
Résumé
The problem of aggregating a profile of closure systems into a consensus system has applications in domains such as social choice, data analysis, or clustering. We first briefly recall the results obtained by a lattice approach and observe that there is some need for a finer approach. Then, we develop some considerations based on implications and related notions, and present a uniqueness result. It appears to be a generalization of a previous result relevant from cluster analysis.