A New Model for Belief Representation and Belief Revision Based on Inconsistencies Locality

In this paper, we generalize the idea of a containment property of an inconsistency defined in a spatial context and propose a new model for belief representation and local belief revision by extending the two models LS (language splitting) and B-structure (belief structure) introduced respectively by R. Parikh and S. Chopra. The property of containment limits the effects of quality which means that an inconsistency cannot have an infinite influence on other information, but in an "area of local effect" which depends on the nature of data. For example, in meteorology, the effect is limited to a continental scale. It also depends on the structure or topology of information and the constraints defined on this structure.