Decentralised possibilistic inference with applications to target tracking

Abstract: Fusing and sharing information from multiple sensors over a network is a challenging task. Part of this challenge arises from the absence of a foundational rule for fusing probability distributions, with various approaches stemming from different principles. Yet, when expressing tracking algorithms within the framework of possibility theory, one specific fusion rule can be proved to be exact in the sense that it is equivalent to the non-distributed possibilistic approach. In this article, this fusion rule is applied to decentralised fusion, based on the possibilistic analogue of the Bernoulli filter. We then show that the proposed approach outperforms its probabilistic counterpart on simulated data.