From Probabilities to Belief Functions on MV-Algebras

0347967 - ÚTIA 2011 RIV DE eng C - Conference Paper (international conference)
Kroupa, Tomáš
From Probabilities to Belief Functions on MV-Algebras.
Combining Soft Computing and Statistical Methods in Data Analysis. Berlin, Heidelberg: Springer-Verlag, 2010 - (Borgelt, C.; Gonzales-Rodriguez, G.; Trutschnig, W.; Lubiano, M.; Gil, M.; Grzegorzewski, P.; Hryniewicz, O.), s. 387-395. ISBN 978-3-642-14745-6. ISSN 1867-5662.
[Soft Methods in Probability and Statistics. Oviedo (ES), 28.09.2010-01.10.2010]
R&D Projects: GA MŠMT 1M0572; GA ČR GA201/09/1891
Institutional research plan: CEZ:AV0Z10750506
Keywords : belief function * state * MV-algebra
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2010/MTR/kroupa-from probabilities to belief functions on mv-algebras.pdf

In this contribution we generalize belief functions to many-valued events represented by elements of the finite product of standard MV-algebras. Our definition is based on the mass assignment approach from Dempster- Shafer theory of evidence. The generalized belief function is totally monotone and it has Choquet integral representation w.r.t. a classical belief function.
Permanent Link: http://hdl.handle.net/11104/0188605