Title :
Maximum Likelihood Estimation for the Distribution of Fuzzy Data
Author :
Wang, Dabuxilatu
Author_Institution :
Guangzhou Univ., Guangzhou
Abstract :
We consider a maximum likelihood estimation (MLE) method when the available samples are taken from a fuzzy population. Based on the embedding theorem for fuzzy data, a general convex compact fuzzy data can be viewed as a random element in square integrable functional space, we employ multivariate distribution functions of random vectors to develop a MLE method for fuzzy data. Some useful properties of MLE are obtained for trapezoidal fuzzy data.
Keywords :
data handling; fuzzy set theory; maximum likelihood estimation; embedding theorem; fuzzy data distribution; fuzzy population; maximum likelihood estimation; multivariate distribution functions; random vectors; square integrable functional space; Cities and towns; Cybernetics; Distribution functions; Fuzzy sets; Information science; Machine learning; Mathematics; Maximum likelihood estimation; Random variables; Vectors; Fuzzy Data; Linear Functional; Maximum Likelihood Estimation;
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.2007.4370323
