Paper Info
Title
Optimal properties of a fuzzy least estimator based on new operations
Abstract
This paper deals with optimal properties of fuzzy least squares estimators of the fuzzy linear regression model with fuzzy input-output data that has an error structure. Fuzzy least squares estimators with new operations for regression parameters were proposed earlier in our previous study based on a suitable metric, and shows that the estimators are fuzzy-type linear estimators. We propose expectations and variances by using the algebraic properties of the triangular fuzzy matrices, and show some optimal properties BLUE(Best Linear Unbiased Estimator) of the estimators. Simple computational example is given to confirm these properties.
Year
DOI
Venue
2014
10.1109/SCIS-ISIS.2014.7044770
SCIS&ISIS
Keywords
Field
DocType
fuzzy set theory,least squares approximations,regression analysis,blue property,best linear unbiased estimator,error structure,fuzzy input-output data,fuzzy least squares estimators,fuzzy linear regression model,fuzzy-type linear estimators,regression parameter,triangular fuzzy matrices
Least squares,Mathematical optimization,Fuzzy logic,Ordinary least squares,Generalized least squares,Non-linear least squares,Total least squares,Linear least squares,Mathematics,Estimator
Conference
ISSN
Citations 
PageRank 
2377-6870
0
0.34
References 
Authors
22
4
Name
Order
Citations
PageRank
Jin Hee Yoon17710.77
Hye-Young Jung2133.96
Woo-Joo Lee3142.94
Seung-Hoe Choi4738.89