The relationship between a probability interval and a random set

作者: Weldon A. Lodwick , Phantipa Thipwiwatpotjana

DOI: 10.1109/NAFIPS.2011.5751917

关键词:

摘要: Probability intervals and random sets are special cases of interval-valued probability measures. In this paper, we analyze the relationship between a interval set. We provide construction set for given interval. This is easier to apply than an existence in [5].

参考文章(8)
Henry E. Kyburg, John F. Lemmer, Conditions for the existence of belief functions corresponding to intervals of belief national conference on artificial intelligence. pp. 488- 493 ,(1991)
Phantipa Thipwiwatpotjana, Linear Programming Problems for Generalized Uncertainty. ProQuest LLC. ,(2010)
Thierry Denœux, Constructing belief functions from sample data using multinomial confidence regions International Journal of Approximate Reasoning. ,vol. 42, pp. 228- 252 ,(2006) , 10.1016/J.IJAR.2006.01.001
Hung T. Nguyen, An Introduction to Random Sets ,(2006)
LUIS M. DE CAMPOS, JUAN F. HUETE, SERAFIN MORAL, PROBABILITY INTERVALS: A TOOL FOR UNCERTAIN REASONING International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems. ,vol. 02, pp. 167- 196 ,(1994) , 10.1142/S0218488594000146
Kurt Weichselberger, The theory of interval-probability as a unifying concept for uncertainty International Journal of Approximate Reasoning. ,vol. 24, pp. 149- 170 ,(2000) , 10.1016/S0888-613X(00)00032-3
S. Destercke, D. Dubois, E. Chojnacki, Unifying practical uncertainty representations -- I: Generalized p-boxes International Journal of Approximate Reasoning. ,vol. 49, pp. 649- 663 ,(2008) , 10.1016/J.IJAR.2008.07.003