Bibliografie

Conference Paper (international conference)

From Probabilities to Belief Functions on MV-Algebras

: Combining Soft Computing and Statistical Methods in Data Analysis, p. 387-395 , Eds: Borgelt Ch. , Gonzales-Rodriguez G. , Trutschnig W. , Lubiano M.A. , Gil M.A. , Grzegorzewski P. , Hryniewicz O.

: Soft Methods in Probability and Statistics, (Oviedo, ES, 28.09.2010-01.10.2010)

: CEZ:AV0Z10750506

: 1M0572, GA MŠk, GA201/09/1891, GA ČR

: belief function, state, MV-algebra

: 10.1007/978-3-642-14746-3_48

: http://library.utia.cas.cz/separaty/2010/MTR/kroupa-from probabilities to belief functions on mv-algebras.pdf

(eng): 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.

: BA