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Handbook of Mathematical Fuzzy Logic
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SYSNO ASEP 0456237 Document Type M - Monograph Chapter R&D Document Type Monograph Chapter Title States of MV-algebras Author(s) Flaminio, T. (IT)
Kroupa, Tomáš (UTIA-B) RIDSource Title Handbook of Mathematical Fuzzy Logic, Vol.3. - London : College Publications, 2015 / Cintula Petr ; Fermüller C. ; Noguera Carles - ISBN 978-1-84890-193-3 Pages s. 1183-1236 Number of pages 54 s. Number of pages 355 Publication form Print - P Language eng - English Country GB - United Kingdom Keywords state ; MV-algebra ; Lukasiewicz logic Subject RIV BA - General Mathematics R&D Projects GAP402/12/1309 GA ČR - Czech Science Foundation (CSF) Institutional support UTIA-B - RVO:67985556 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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