Handbook of Mathematical Fuzzy Logic

0456237 - ÚTIA 2016 RIV GB eng M - Monography Chapter
Flaminio, T. - Kroupa, Tomáš
States of MV-algebras.
Handbook of Mathematical Fuzzy Logic. Vol.3. London: College Publications, 2015 - (Cintula, P.; Fermüller, C.; Noguera, C.), s. 1183-1236. Studies in Logic - Mathematical Logic and Foundations, 58. ISBN 978-1-84890-193-3
R&D Projects: GA ČR GAP402/12/1309
Institutional support: RVO:67985556
Keywords : state * MV-algebra * Lukasiewicz logic
Subject RIV: BA - General Mathematics
http://library.utia.cas.cz/separaty/2015/MTR/kroupa-0456237.pdf

This handbook chapter focuses on presenting the theory of MV-algebras endowed with functions, called states, that allow one to model finitely additive probability measures. We prove the main integral representation theorem and show applications of states for modelling bookmaking over non-classical events and conditioning.
Permanent Link: http://hdl.handle.net/11104/0257709