Abstract
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.
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Lendelová, K., Petrovičová, J. Representation of IF-probability on MV-algebras. Soft Comput 10, 564–566 (2006). https://doi.org/10.1007/s00500-005-0510-z
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DOI: https://doi.org/10.1007/s00500-005-0510-z