Title :
The relationship between a probability interval and a random set
Author :
Thipwiwatpotjana, Phantipa ; Lodwick, Weldon A.
Author_Institution :
Dept. of Math., Chulalongkorn Univ., Bangkok, Thailand
Abstract :
Probability intervals and random sets are special cases of interval-valued probability measures. In this paper, we analyze the relationship between a probability interval and a random set. We provide a construction of a random set for a given probability interval. This construction is easier to apply than an existence construction.
Keywords :
optimisation; set theory; interval-valued probability measures; optimization problem; probability interval; random set; Cognition; Equations; Extraterrestrial measurements; Mathematical model; Transforms; Uncertainty;
Conference_Titel :
Fuzzy Information Processing Society (NAFIPS), 2011 Annual Meeting of the North American
Conference_Location :
El Paso, TX
Print_ISBN :
978-1-61284-968-3
Electronic_ISBN :
Pending
DOI :
10.1109/NAFIPS.2011.5752045
