We continue our study of the extensions of generalized probability measures. First, we describe some extensions of generalized random events (represented by classes of functions with values in [0,1]) to which generalized probability measures can be extended. Second, we study products of domains of probability and describe states on such products. Third, we show that the events in IF-probability, introducedby B. Riečan, form a suitable category isomorphic to a subcategory of the category of fuzzy random events. Consequently, IF-probability can be interpreted within fuzzy probability theory. We put forward some problems related to the extensions of probability domains and hint some applications.
@article{367,
title = {Real functions and the extension of generalized probability measures II},
journal = {Tatra Mountains Mathematical Publications},
volume = {62},
year = {2015},
doi = {10.2478/tatra.v62i0.367},
language = {EN},
url = {http://dml.mathdoc.fr/item/367}
}
Havlíčková, Jana. Real functions and the extension of generalized probability measures II. Tatra Mountains Mathematical Publications, Tome 62 (2015) . doi : 10.2478/tatra.v62i0.367. http://gdmltest.u-ga.fr/item/367/