A Categorical Approach to Data Fusion

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jul 2006 Italy Publisher:IEEEJournal:2006 9th International Conference on Information Fusion

Authors: Chemello Gaetano; Sossai Claudio;

doi: 10.1109/icif.2006.301816

handle: 20.500.14243/76849

A Categorical Approach to Data Fusion

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Abstract

Using suitable topoi of presheaves, a categorical definition of measure is given. When the general definition is specialized to particular categories made of sets of possibility, probability or imprecise probability measures, the internal language of the corresponding topos gives a valid and complete proof system for the corresponding semantics. An application of this method to data fusion in mobile robotics is presented.

Country

Italy

Related Organizations

National Research Council
Italy

Keywords

category theory, data fusion, sheaf theory, topos theory, reasoning under uncertainty

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