Homomorphic Coordinates of Dempster’s Semigroup

Autoři: Milan Daniel
Rok vydání: 2015
Typ publikace: Konferenční příspěvek (mezinárodní konf.)
Periodikum: Proceedings of the 10th Workshop on Uncertainty Processing WUPES’15
Bibliografická citace: DANIEL, Milan. Homomorphic Coordinates of Dempster’s Semigroup. In: KRATOCHVÍL, V., ed. Proceedings of the 10th Workshop on Uncertainty Processing WUPES’15. Praha: Oeconomica, 2015, S. 49-60. ISBN 978-80-245-2102-2. Dostupné z: http://wupes.fm.vse.cz/2015/data/Proceedings.pdf
ID: 447899

Abstrakt

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.