0376409 20240103200824.620120511235959.9 000302970000001 10.1016/j.ijar.2011.10.007 13 s. cav_un_epca*02567740888-613X534 (2012)435-446Elsevier state Lukasiewicz logic rational polyhedron cav_un_auth*0101141 Kroupa Tomáš Matematická teorie rozhodování Department of Decision Making Theory MTR MTR UTIA-B Department of Decision Making Theory Ústav teorie informace a automatizace AV ČR, v. v. i. 1M0572 GA MŠk cav_un_auth*0001814 GA201/09/1891 GA ČR cav_un_auth*0253175 CEZ:AV0Z10750506 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. 2013 BA http://hdl.handle.net/11104/0208816 COMPUTERSCIENCEARTIFICIALINTELLIGENCE 2.165 0.447 5.5 0.00618 0.745 1920 85 1.494 Q1 65.146 70.000 Q2 Q1 2012 000302970000001 WOS cav_un_epca*0256774 International Journal of Approximate Reasoning 0888-613X 1873-4731 Roč. 53 č. 4 2012 435 446 Elsevier