Title :
The Convergent Results about the Sum of Fuzzy Variables and the Law of Large Numbers
Author :
Zhang, Guo-chun ; Wang, Shu-ming ; Dai, Xiao-dong
Author_Institution :
Hebei Univ., Baoding
Abstract :
Based on credibility theory, this paper studies the convergent properties about the sum of fuzzy variables. We first propose several convergence theorems in credibility and in expectation on the sum of fuzzy variables, and then we establish a strong law of large numbers for fuzzy variables, finally, a theorem similar to the law of large numbers for random variables is also obtained.
Keywords :
convergence; fuzzy set theory; number theory; convergence theorems; convergent properties; credibility theory; fuzzy variables; large numbers; Chromium; Computer science; Convergence; Cybernetics; Educational institutions; Machine learning; Mathematics; Possibility theory; Random variables; Sufficient conditions; Fuzzy Variable; Law of Large Numbers; T-independence;
Conference_Titel :
Machine Learning and Cybernetics, 2007 International Conference on
Print_ISBN :
978-1-4244-0973-0
Electronic_ISBN :
978-1-4244-0973-0
DOI :
10.1109/ICMLC.2007.4370328
