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Research Centre
Data - Algorithms - Decision Making
Data - Algorithms - Decision Making
Established in 2005 under support of MŠMT ČR (project 1M0572)
Publications
From Probabilities to Belief Functions on MV-Algebras
Typ:
Conference paper
Authors:
Proceedings name:
Combining Soft Computing and Statistical Methods in Data Analysis
Name of part:
77
Publisher:
Springer
Serie:
Heidelberg
Year:
2010
ISSN:
1867-5662
Keywords:
belief function, state, MV-algebra
Anotation:
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.