bibtype J - Journal Article
ARLID 0376409
utime 20240103200824.6
mtime 20120511235959.9
WOS 000302970000001
DOI 10.1016/j.ijar.2011.10.007
title (primary) (eng) States in Lukasiewicz logic correspond to probabilities of rational polyhedra
specification
page_count 13 s.
serial
ARLID cav_un_epca*0256774
ISSN 0888-613X
title International Journal of Approximate Reasoning
volume_id 53
volume 4 (2012)
page_num 435-446
publisher
name Elsevier
keyword state
keyword Lukasiewicz logic
keyword rational polyhedron
author (primary)
ARLID cav_un_auth*0101141
name1 Kroupa
name2 Tomáš
full_dept (cz) Matematická teorie rozhodování
full_dept (eng) Department of Decision Making Theory
department (cz) MTR
department (eng) MTR
institution UTIA-B
full_dept Department of Decision Making Theory
fullinstit Ústav teorie informace a automatizace AV ČR, v. v. i.
cas_special
project
project_id 1M0572
agency GA MŠk
ARLID cav_un_auth*0001814
project
project_id GA201/09/1891
agency GA ČR
ARLID cav_un_auth*0253175
research CEZ:AV0Z10750506
abstract (eng) It will be shown that probabilities of infinite-valued events represented by formulas in Lukasiewicz propositional logic are in one-to-one correspondence with tight probability measures over rational polyhedra in the unit hypercube. This result generalizes a recent work on rational measures of polyhedra and provides an elementary geometric approach to reasoning under uncertainty with states in Lukasiewicz logic.
reportyear 2013
RIV BA
permalink http://hdl.handle.net/11104/0208816
mrcbT16-e COMPUTERSCIENCEARTIFICIALINTELLIGENCE
mrcbT16-f 2.165
mrcbT16-g 0.447
mrcbT16-h 5.5
mrcbT16-i 0.00618
mrcbT16-j 0.745
mrcbT16-k 1920
mrcbT16-l 85
mrcbT16-s 1.494
mrcbT16-4 Q1
mrcbT16-B 65.146
mrcbT16-C 70.000
mrcbT16-D Q2
mrcbT16-E Q1
arlyear 2012
mrcbU34 000302970000001 WOS
mrcbU63 cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 53 č. 4 2012 435 446 Elsevier