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On Asymptotic Properties of the Multiple Fuzzy Least Squares Estimator
- Source :
- Advances in Intelligent Systems and Computing ISBN: 9783319429717, SMPS
- Publication Year :
- 2016
- Publisher :
- Springer International Publishing, 2016.
-
Abstract
- The multiple fuzzy linear regression model with fuzzy input–fuzzy output is considered. Assuming that fuzzy inputs and fuzzy outputs are modeled by triangular fuzzy numbers, we prove the consistency and asymptotic normality of the least squares estimators.
- Subjects :
- Mathematical optimization
Mathematics::General Mathematics
Explained sum of squares
02 engineering and technology
Generalized least squares
01 natural sciences
Fuzzy logic
Least squares
010104 statistics & probability
ComputingMethodologies_PATTERNRECOGNITION
Non-linear least squares
0202 electrical engineering, electronic engineering, information engineering
Applied mathematics
Fuzzy number
020201 artificial intelligence & image processing
ComputingMethodologies_GENERAL
0101 mathematics
Total least squares
Linear least squares
Mathematics
Subjects
Details
- ISBN :
- 978-3-319-42971-7
- ISBNs :
- 9783319429717
- Database :
- OpenAIRE
- Journal :
- Advances in Intelligent Systems and Computing ISBN: 9783319429717, SMPS
- Accession number :
- edsair.doi...........5f92bf618ed201d17d830ec107f76d02