|
|||||
|
|
Representation of IF-probability on MV-algebras |
|
| Authors: | Katarína Lendelová Jozefí na Petrovi?ová |
| Affiliation: | (1) Faculty of Natural Sciences,Department of Mathematics, Matej Bel University, Tajovského 40, SK-974 01 Banská Bystrica;(2) Faculty of Medicine, Department of Medical Informatics, P.J. Šafárik University, Trieda SNP 1, SK-040 66 Košice, Slovakei |
| 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. |
| Keywords: | The IF-probability The IF-observable The MV-algebra The representation theorem |
| 本文献已被 SpringerLink 等数据库收录！ | |