DocumentCode
3573851
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
Volume
2
fYear
2007
Firstpage
1209
Lastpage
1214
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2007 International Conference on
Print_ISBN
978-1-4244-0973-0
Electronic_ISBN
978-1-4244-0973-0
Type
conf
DOI
10.1109/ICMLC.2007.4370328
Filename
4370328
Link To Document