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# A Geometric Approach to the Theory of Evidence

@article{Cuzzolin2008AGA, title={A Geometric Approach to the Theory of Evidence}, author={Fabio Cuzzolin}, journal={IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews)}, year={2008}, volume={38}, pages={522-534} }

- Published 2008 in IEEE Transactions on Systems, Man, and…
DOI:10.1109/TSMCC.2008.919174

In this paper, we propose a geometric approach to the theory of evidence based on convex geometric interpretations of its two key notions of belief function (b.f.) and Dempster's sum. On one side, we analyze the geometry of b.f.'s as points of a polytope in the Cartesian space called belief space, and discuss the intimate relationship between basic probability assignment and convex combination. On the other side, we study the global geometry of Dempster's rule by describing its action on those… CONTINUE READING

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