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[[Category:Publications on interval-valued fuzzy sets|{{PAGENAME}}]]
[[Category:Publications in 2010 year|{{PAGENAME}}]]
[[Category:IWGN conference publications|{{PAGENAME}}]]
{{issue/title
| title = Probability on interval valued events
| shortcut = iwgn-2010-43-47
}}
{{issue/author
| author = Beloslav Riečan
| institution = Institute of Mathemathics and Computer Science UMB and MU SAV
| address = Dumbierska 1, 974 11 Banska Bystrica, Slovakia
| institution-2 = Department of Mathematics, Faculty of Natural Sciences
| address-2 = Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
| email-before-at = riecan
| email-after-at = fpv.umb.sk
}}
{{issue/author
| author = Pavol Kral
| institution = Institute of Mathemathics and Computer Science UMB and MU SAV
| address = Dumbierska 1, 974 11 Banska Bystrica, Slovakia
| institution-2 = Department of Quantitative Methods and Information Systems, Faculty of Economic
| address-2 = Tajovskeho 10, 975 90 Banska Bystrica, Slovakia
| email-before-at = pavol.kral
| email-after-at = umb.sk
}}
{{issue/data
| conference = 11th [[IWGN]], Sofia, 5 December 2010
| issue = [[International Workshop on Generalized Nets/2010|Conference proceedings]], pages 43—47
| file = IWGN-2010-43-47.pdf
| format = PDF
| size = 155
| abstract =
Interval valued events are considered, i.e. pairs A = (μA, νA) of measurable mappings μA, νA : (Ω, S) → [0, 1] such that μA ≤ νA. In the paper the probability is considered a mapping p : F → [′, ∞] defined on the family F of all interval valued events. The paper contains two main main results. The first result is the probability representation theorem. The second one is an embedding into an MV-algebra, hence the well developed MV-algebra probability theory can be applied to the interval valued probability theory.
| keywords =
| references =
# Zadeh, L.: Probability measures of fuzzy events. Journal of Mathematical analysis and applications 23 (2), 1968, 421{427.
# Dvurečenskij, A., Pulmannov, S.: New trends in quantum structures. Kluwer Academic Publishers, Ister Science, Bratislava, 2000.
# Riečan, B., Mundici D.: Probability on MV-algebras. In: Handbook of Measure Theory. Elsevier. Amsterdam 2002, 869{909.
# Riečan, B.: Probability theory on IF events. In: Algebraic and Proof-Theoretic Aspects of Non-classical logics. Papers in Honor of Daniele Mundici on the Occasion of his 60th Birthday. Lecture Notes in Computer Science (Aguzzoli, S. et. al. eds.), Springer, Berlin, 2007, 209 - 308.
| citations =
| see-also =
}}

Issue:Probability on interval valued events - Revision history

Vassia Atanassova: Created page with "{{PAGENAME}} {{PAGENAME}} {{PAGENAME}}..."