THE PRODUCT OF CAPACITIES AND BELIEF FUNCTIONS

Authors
HENDON E JACOBSEN HJ SLOTH B TRANAES T
Citation
E. Hendon et al., THE PRODUCT OF CAPACITIES AND BELIEF FUNCTIONS, Mathematical social sciences, 32(2), 1996, pp. 95-108
Citations number
16
Categorie Soggetti
Social Sciences, Mathematical Methods","Mathematical, Methods, Social Sciences","Mathematics, Miscellaneous
Journal title
Mathematical social sciences → ACNP
ISSN journal
01654896
Volume
32
Issue
2
Year of publication
1996
Pages
95 - 108
Database
ISI
SICI code
0165-4896(1996)32:2<95:TPOCAB>2.0.ZU;2-I
Abstract
Capacities (monotone, non-additive set functions) have been suggested to describe situations of uncertainty. We examine the question of how to define the product of two independent capacities. In particular, fo r the product of two belief functions (totally monotone capacities), t here is a unique minimal product belief function. This is characterize d in several ways.