In: Tatra Mountains Mathematical Publications, vol. 46, no. 2
Beloslav Riečan - Jozefína Petrovičová
Detaily:
Rok, strany: 2010, 125 - 146
Kľúčové slová:
probability, IF-set, limit theorems.
O článku:
A review of main methods of the probability theory on IF-events is
presented in the case that the used connectives are Lukasiewicz
f\oplus g =(f+g)\wedge 1,
f\odot g =(f+g-1)\vee 0,
($f$, $g$ are functions, $f,g:\Omega\rightarrow\left\langle 0,1\right\rangle$). Representation theorem for probabilities on IF-events is given. For sequences of independent observables the central limit theorem is presented as well as basic results about conditional expectation. Finally the Lukasiewicz probability theory to the MV-algebra probability theory is embedded.
Ako citovať:
ISO 690:
Riečan, B., Petrovičová, J. 2010. On the Lukasiewicz probability theory on IF-sets. In Tatra Mountains Mathematical Publications, vol. 46, no.2, pp. 125-146. 1210-3195.
APA:
Riečan, B., Petrovičová, J. (2010). On the Lukasiewicz probability theory on IF-sets. Tatra Mountains Mathematical Publications, 46(2), 125-146. 1210-3195.