In: Tatra Mountains Mathematical Publications, vol. 62, no. 1
Jana Havlíčková
Detaily:
Rok, strany: 2015, 191 - 204
Kľúčové slová:
D-poset of fuzzy sets, sequentially continuous D-homomorphism, extension, sober, sobrification,
product, bold algebra, Łukasiewicz tribe, epireflective subcategory,
fuzzy probability, IF-probability
O článku:
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-pro bability, introduced by B. Rie\v can, 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.
Ako citovať:
ISO 690:
Havlíčková, J. 2015. Real functions and extension of generalized probability measures II. In Tatra Mountains Mathematical Publications, vol. 62, no.1, pp. 191-204. 1210-3195.
APA:
Havlíčková, J. (2015). Real functions and extension of generalized probability measures II. Tatra Mountains Mathematical Publications, 62(1), 191-204. 1210-3195.