Representation of IF-probability on MV-algebras

Representation of IF-probability on MV-algebras

A probability theory on IF-events has been constructed by Grzegorzewski and Mrówka in [2] and axiomatically characterized by B. Riečan in [6]. More general situation was studied by B. Riečan in [5]. He introduced the IF-probability, which is decomposed onto two probabilities on Lukasiewicz tribe. Th...

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Veröffentlicht in:Soft computing (Berlin, Germany) Germany), 2006-05, Vol.10 (7), p.564-566
Hauptverfasser: Lendelová, Katarína, Petrovičová, Jozefí na
Format: Artikel
Sprache:eng
Schlagworte:
Probability theory
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Zusammenfassung:A probability theory on IF-events has been constructed by Grzegorzewski and Mrówka in [2] and axiomatically characterized by B. Riečan in [6]. More general situation was studied by B. Riečan in [5]. He introduced the IF-probability, which is decomposed onto two probabilities on Lukasiewicz tribe. The aim of this paper is to define the IF-probability and IF-observable on MV-algebras. We show that some known results of [7] can be applied also for these IF-events.
ISSN:1432-7643
1433-7479
DOI:10.1007/s00500-005-0510-z