A class of belief structures based on possibility measures

After discussing the basics of belief structures we introduce a new class of belief structures in which we select from among the focal elements using a possibility measure. We refer to this as a maxitive belief structure, MBS. The concepts of belief and plausibility are defined for an MBS, and it is noted how an MBS can be used to model imprecise possibility distributions. We describe various operations with these structures including arithmetic and fusion. We look at the use of the Choquet integral type aggregation for these MBS. Measures other than belief and plausibility were defined for these structures.