Title :
Convergences of set-valued stochastic series
Author :
Fu, Jinping ; Li, Shoumei
Author_Institution :
Dept. of Appl. Math., Beijing Univ. of Technol., Beijing
Abstract :
In this paper, we shall study convergences of set-valued stochastic series. After reviewing necessary concepts and basic results about set-valued random variables, we shall introduce definitions of set-valued stochastic series. We shall mainly give the sufficient and necessary conditions of convergences of set-valued stochastic series, and prove three-series theorems of set-valued random variables in the senses of two different metrics.
Keywords :
convergence; random processes; series (mathematics); set theory; stochastic processes; set-valued random variables; set-valued stochastic series; three-series theorems; Artificial intelligence; Data processing; Decision making; Extraterrestrial measurements; Mathematics; Pattern analysis; Random media; Random variables; Stochastic processes; Stochastic systems;
Conference_Titel :
Fuzzy Systems, 2008. FUZZ-IEEE 2008. (IEEE World Congress on Computational Intelligence). IEEE International Conference on
Conference_Location :
Hong Kong
Print_ISBN :
978-1-4244-1818-3
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZY.2008.4630407
