Title
Least-squares approach to regression modeling in full interval-valued fuzzy environment
Abstract
regression procedure is introduced when the observations of the response and the independent variables, as well as the coefficients that are to be estimated, are triangular interval-valued fuzzy numbers (IVFNs). The coefficients of the model are obtained by least square method, using a distance that we define on the space of IVFNs. Three real data sets, on soil sciences and hydrology engineering are used to test the applicability of the proposed method. The predictive performance of the models thus obtained are examined by cross-validation. To check the overall performance of the proposed method, two measures of goodness of fit are introduced and employed.
Year
DOI
Venue
2014
10.1007/s00500-013-1185-5
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Keywords
Field
DocType
goodness of fit,interval-valued fuzzy number,cross validation,fuzzy regression,least-squares method,least squares method
Least squares,Regression,Regression analysis,Fuzzy logic,Variables,Fuzzy number,Statistics,Goodness of fit,Cross-validation,Mathematics
Journal
Volume
Issue
ISSN
18
10
1433-7479
Citations 
PageRank 
References 
4
0.41
32
Authors
4
Name
Order
Citations
PageRank
Mohammad Reza Rabiei161.47
Naser Reza Arghami2152.46
S. Mahmoud Taheri39010.84
Bahram Sadeghpour Gildeh4358.99