After it has been successfully done in probability and possibility theories, the paper is the first attempt to introduce the operator of composition also for belief functions. We prove that the proposed definition preserves all the necessary properties of the operator enabling us to define compositional models as an efficient tool for multidimensional models representation.
Keywords. Belief function, basic assignment, multidimensional frame of discernment, operator of composition, perfect sequence.
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Authors addresses:
Radim Jirousek
Inst. of Information Theory and Automation
Czech Academy of Sciences
Pod vodarenskou vezi 4
182 08 Praha 8
Czech Republic
Jirina Vejnarova
Institute if Infrormation Theory and Automation
Academy of Sciences of the Czech Republic
Pod vodarenskou vezi 4
182 08 Prague
Czech Republik
Milan Daniel
Pod vodarenskou vezi 2,
CZ-182 07 Prague 8
E-mail addresses:
| Radim Jirousek | radim@utia.cas.cz |
| Jirina Vejnarova | vejnar@utia.cas.cz |
| Milan Daniel | milan.daniel@cs.cas.cz |