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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