In: Tatra Mountains Mathematical Publications, vol. 42, no. 1
Roman Frič
Detaily:
Rok, strany: 2009, 161 - 174
Kľúčové slová:
bounded measure, sequential continuity, extension
of measures, $D$-poset of fuzzy sets, bold algebra, \L ukasiewicz tribe,
measurable map, fuzzy random variable, observable, duality, probability measure,
state, epireflection, generalized probability
O článku:
We discuss some basic ideas and survey some fundamental constructions related to measure (a real-valued map the domain of which is a set of measurable objects carrying a suitable structure and the map partially preserves the structure): continuity, measurability, duality, extension. We show that in the category $ID$ of difference posets of fuzzy sets and sequentially continuous difference-homomorphisms these constructions are intrinsic. Further, basic notions of the probability theory have natural generalizations within $ID$.
Ako citovať:
ISO 690:
Frič, R. 2009. Measures: continuity, measurability, duality, extension. In Tatra Mountains Mathematical Publications, vol. 42, no.1, pp. 161-174. 1210-3195.
APA:
Frič, R. (2009). Measures: continuity, measurability, duality, extension. Tatra Mountains Mathematical Publications, 42(1), 161-174. 1210-3195.