bibtype C - Conference Paper (international conference)
ARLID 0525114
utime 20240103224152.2
mtime 20200618235959.9
SCOPUS 85086260553
DOI 10.1007/978-3-030-50143-3_29
title (primary) (eng) On Solutions of Marginal Problem in Evidence Theory
specification
page_count 12 s.
media_type P
serial
ARLID cav_un_epca*0525113
ISBN 978-3-030-50142-6
ISSN 1865-0929
title Information Processing and Management of Uncertainty in Knowledge-Based Systems : 18th International Conference, IPMU 2020
page_num 382-393
publisher
place Cham
name Springer
year 2020
keyword Marginal problem
keyword Extension
keyword Product extension
author (primary)
ARLID cav_un_auth*0101223
name1 Vejnarová
name2 Jiřina
institution UTIA-B
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
source
url http://library.utia.cas.cz/separaty/2020/MTR/vejnarova-0525114.pdf
cas_special
project
project_id GA19-04579S
agency GA ČR
country CZ
ARLID cav_un_auth*0380558
abstract (eng) Recently introduced marginal problem – which addresses the question of whether or not a common extension exists for a given set of marginal basic assignments – in the framework of evidence theory is recalled. Sets of solutions are studied in more detail and it is shown, by a simple example, that their structure is much more complicated (i.e. the number of extreme vertices of the convex set of solutions is substantially greater) than that in an analogous problem in probabilistic framework. The concept of product extension of two basic assignments is generalized (via operator of composition) to a finite sequence of basic assignments. This makes possible not only to express the extension, if it exists, in a closed form, but also enables us to find the sufficient condition for the existence of an extension of evidential marginal problem. Presented approach is illustrated by a simple example.
action
ARLID cav_un_auth*0393126
name IPMU 2020 /18./
dates 20200615
mrcbC20-s 20200620
place Lisabon
country PT
RIV BA
FORD0 10000
FORD1 10100
FORD2 10102
reportyear 2021
mrcbC52 4 A sml 4as 20231122144954.1
presentation_type PR
inst_support RVO:67985556
permalink http://hdl.handle.net/11104/0309420
confidential S
contract
name Consent to Publish
date 20200405
arlyear 2020
mrcbTft \nSoubory v repozitáři: vejnarova-0525114-copyright.pdf
mrcbU14 85086260553 SCOPUS
mrcbU24 PUBMED
mrcbU34 WOS
mrcbU63 cav_un_epca*0525113 Information Processing and Management of Uncertainty in Knowledge-Based Systems : 18th International Conference, IPMU 2020 978-3-030-50142-6 1865-0929 382 393 Cham Springer 2020