An Algebraic Framework for a Flexible Symbolic Fusion

Laurent Chaudron, Corine Cossart, Nicolas Maille, Catherine Tessier

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Abstract:

This paper focuses on uncertain symbolic information fusion in perception systems for which the purpose is to build a symbolic representation of what is going on in an observed environment. The aim is to design a framework to capture and delimit the uncertainty and characterize the fused information prior to the definition of dedicated fusion operators.
The approach relies on the lattice structures, which allow the spectrum of the fusion results of two non-comparable elements to be elaborated without being constrained by a given fusion operator. In particular, imperfect matchings and combinations of several different matching hypotheses can be considered.
Lattice structures are built on both logical cube and Petri net formalisms, which respectively represent the properties of the observed objects and the temporal organization of these properties in the generic problem stemming from the considered applications. The result is a sound formal model allowing the solution space of the fusion process to be characterized.


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