In the classical probability, as well as in the fuzzy probability theory,random events and probability measures are modelled by functions intothe closed unit interval [0,1]. Using elementary methods of category theory,we present a classification of the extensions of generalized probabilitymeasures (probability measures and integrals with respect to probabilitymeasures) from a suitable class of generalized random events to a largerclass having some additional (algebraic and/or topological) properties.The classification puts into a perspective the classical and some recentconstructions related to the extension of sequentially continuous functions.
@article{227,
title = {Real functions and the extension of generalized probability measures},
journal = {Tatra Mountains Mathematical Publications},
volume = {55},
year = {2013},
doi = {10.2478/tatra.v55i0.227},
language = {EN},
url = {http://dml.mathdoc.fr/item/227}
}
Havlíčková, Jana. Real functions and the extension of generalized probability measures. Tatra Mountains Mathematical Publications, Tome 55 (2013) . doi : 10.2478/tatra.v55i0.227. http://gdmltest.u-ga.fr/item/227/