Title
Testing fuzzy hypotheses based on fuzzy test statistic
Abstract
A new approach for testing fuzzy parametric hypotheses based on fuzzy test statistic is introduced. First, we define some models representing the extended versions of the simple, the one-sided and the two-sided crisp hypotheses to the fuzzy ones. Then, we provide a confidence interval for interested parameter, and using α-cuts of the fuzzy null hypothesis, we construct the related fuzzy test statistic. Finally, by introducing a credit level, we can decide to accept or reject the fuzzy hypothesis. The method is applied to test the fuzzy hypotheses for the mean of a normal distribution, the variance of a normal distribution, and the mean of a Poisson distribution.
Year
DOI
Venue
2009
10.1007/s00500-008-0339-3
Soft Comput.
Keywords
Field
DocType
Credit level,Fuzzy hypothesis,Fuzzy test statistic,Testing hypothesis
Test statistic,F-test,p-value,Fuzzy logic,Fuzzy measure theory,One- and two-tailed tests,Z-test,Statistics,Membership function,Mathematics
Journal
Volume
Issue
ISSN
13
6
1432-7643
Citations 
PageRank 
References 
18
1.00
6
Authors
2
Name
Order
Citations
PageRank
S. Mahmoud Taheri19010.84
Mohsen Arefi2243.82