In: Tatra Mountains Mathematical Publications, vol. 55, no. 2
Jana Havlíčková
Detaily:
Rok, strany: 2013, 85 - 94
Kľúčové slová:
extension of probability measures; outer measure, absolutely measurable set, $D$-poset of fuzzy sets, sequentially continuous $D$-homomorphism, probability integral, $MV$-al\-gebra, Łukasiewicz tribe, classification of extensions, $ID$-extension...
O článku:
In the classical probability, as well as in the fuzzy probability theory, random events and probability measures are modelled by functions into the closed unit interval [0,1]. Using elementary methods of category theory, we present a classification of the extensions of generalized probability measures (probability measures and integrals with respect to probability measures) from a suitable class of generalized random events to a larger class having some additional (algebraic and/or topological) properties. The classification puts into a perspective the classical and some recent constructions related to the extension of sequentially continuous functions.
Ako citovať:
ISO 690:
Havlíčková, J. 2013. Real functions and the extension of generalized probability measures. In Tatra Mountains Mathematical Publications, vol. 55, no.2, pp. 85-94. 1210-3195.
APA:
Havlíčková, J. (2013). Real functions and the extension of generalized probability measures. Tatra Mountains Mathematical Publications, 55(2), 85-94. 1210-3195.