Original title:
Homomorphic Coordinates of Dempster’s Semigroup
Authors:
Daniel, Milan Document type: Papers Conference/Event: WUPES 2015. Workshop on Uncertainty Processing /10./, Monínec (CZ), 2015-09-16 / 2015-09-19
Year:
2015
Language:
eng Abstract:
Coordinates of belief functions on two-element frame of discernment are defined using homomorphisms of Dempster’s semigroup (the algebra of belief functions with Dempster’s rule). Three systems of the coordinates (h-f, h-f0, and coordinates based on decomposition of belief functions) are analysed with a focus to their homomorphic properties. Further, ideas of generalisation of the investigated systems of coordinates to general finite frame of discernment are presented.
Keywords:
belief functions; Dempster's semigroup; Dempster-Shafer Theory; homomorphic coordinates; homomorphism Host item entry: Proceedings of the 10th Workshop on Uncertainty Processing WUPES’15, ISBN 978-80-245-2102-2