About: States in Lukasiewicz logic correspond to probabilities of rational polyhedra

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rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
Description	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. 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. (en)
Title	States in Lukasiewicz logic correspond to probabilities of rational polyhedra States in Lukasiewicz logic correspond to probabilities of rational polyhedra (en)
skos:prefLabel	States in Lukasiewicz logic correspond to probabilities of rational polyhedra States in Lukasiewicz logic correspond to probabilities of rational polyhedra (en)
skos:notation	RIV/67985556:_____/12:00376409!RIV13-MSM-67985556
http://linked.open...avai/predkladatel	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...avai/riv/aktivita	P Z
http://linked.open...avai/riv/aktivity	P(1M0572), P(GA201/09/1891), Z(AV0Z10750506)
http://linked.open...iv/cisloPeriodika	4
http://linked.open...vai/riv/dodaniDat	2013
http://linked.open...aciTvurceVysledku	Kroupa, Tomáš
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Ústav teorie informace a automatizace AV ČR, v. v. i.
http://linked.open...dnocenehoVysledku	171136
http://linked.open...ai/riv/idVysledku	RIV/67985556:_____/12:00376409
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	state; Lukasiewicz logic; rational polyhedron (en)
http://linked.open.../riv/klicoveSlovo	state Lukasiewicz logic rational polyhedron
http://linked.open...odStatuVydavatele	US - Spojené státy americké
http://linked.open...ontrolniKodProRIV	[E2D02F8D27A4]
http://linked.open...i/riv/nazevZdroje	International Journal of Approximate Reasoning
http://linked.open...in/vavai/riv/obor	BA
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	1 (xsd:int)
http://linked.open...vavai/riv/projekt	Data, algorithms, decision making Multidimensional Models of Uncertainty
http://linked.open...UplatneniVysledku	2012
http://linked.open...v/svazekPeriodika	53
http://linked.open...iv/tvurceVysledku	Kroupa, Tomáš
http://linked.open...ain/vavai/riv/wos	000302970000001
http://linked.open...n/vavai/riv/zamer	Pokročilé matematické metody získávání, zpracování a využití informací a znalostí ve složitých a nedeterministických systémech
issn	0888-613X
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1016/j.ijar.2011.10.007
is http://linked.open...avai/riv/vysledek of	States in Lukasiewicz logic correspond to probabilities of rational polyhedra

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