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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 = Central limit theorem on MV-algebras
| shortcut = iwgn-2010-48-56
}}
{{issue/author
| author = Jana Kelemenová
| institution = Department of Mathematics, Faculty of Natural Sciences
| address = Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
| email-before-at = kelemen
| email-after-at = fpv.umb.sk
}}
{{issue/author
| author = Mária Kuková
| institution = Department of Mathematics, Faculty of Natural Sciences
| address = Tajovskeho 40, 974 01 Banska Bystrica, Slovakia
| email-before-at = kukova
| email-after-at = fpv.umb.sk
}}
{{issue/data
| conference = 11th [[IWGN]], Sofia, 5 December 2010
| issue = [[International Workshop on Generalized Nets/2010|Conference proceedings]], pages 48—56
| file = IWGN-2010-48-56.pdf
| format = PDF
| size = 153
| abstract =
The aim is to approve the Central limit theorem on MV-algebras by the new approach, using the observable as a distribution function, and not the σ-homomorphism. The main idea is in local representation of σ-algebras. The following theorem is proved: Let M be a σ-complete MV-algebra with product, m : M 􀀀→ [0; 1] be a σ-additive state, (xn)n be a sequence of independent, equally distributed, square integrable observables. Hence E[x1] = E[x2] = ... = a; σ(x1) = σ(x2) = ... = σ. Then, for any t ∈ R

[[:File:Iwgn-2010-48-56-abs.png|center]]

| keywords = MV-algebra, Central limit theorem
| references =
# Kopka, F.: D-posets with meet function. Advances in Electrical Engineering 3, 2004, 34-36.
# Montagna, F.: An algebraic approach to propositional fuzzy logic. J. Logic Lang. Inf. 2000, 91-124.
# Mundici, D.: Interpretation of AFC*-algebras in Lukasiewicz sentential calculus. J. Funct. Anal 65, 1986, 15-63.
# Riečan B.: On the product MV-algebras. Tatra Mt. Math. Publ. 16, 1999, 143-149.
# Riečan, B., Lasova, L.: On the probability theory on the Kopka D-posets (to appear).
# Riečan, B., Mundici, D.: Probability on MV algebras, Handbook of Measue Theory, Elsevier, Amsterdam, 2002, 869-909.
| citations =
| see-also =
}}

Issue:Central limit theorem on MV-algebras - Revision history

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