Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Information Sciences: an International Journal
Possibilistic linear systems and their application to the linear regression model
Fuzzy Sets and Systems
Fuzzy set theory—and its applications (3rd ed.)
Fuzzy set theory—and its applications (3rd ed.)
A generalized fuzzy weighted least-squares regression
Fuzzy Sets and Systems
On a class of fuzzy c-numbers clustering procedures for fuzzy data
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Information Sciences: an International Journal
Fuzzy sets in decision analysis, operations research and statistics
A least-squares approach to fuzzy linear regression analysis
Computational Statistics & Data Analysis
Two-sample hypothesis tests of means of a fuzzy random variable
Information Sciences: an International Journal - Fuzzy random variables
Fuzzy regression methods—a comparative assessment
Fuzzy Sets and Systems
An "orderwise" polynomial regression procedure for fuzzy data
Fuzzy Sets and Systems
Least-squares fuzzy regression with fuzzy random variables
Fuzzy Sets and Systems
Linear regression analysis for fuzzy/crisp input and fuzzy/crisp output data
Computational Statistics & Data Analysis
Computational Statistics & Data Analysis
Toward a generalized theory of uncertainty (GTU): an outline
Information Sciences—Informatics and Computer Science: An International Journal
Regression with fuzzy random data
Computational Statistics & Data Analysis
Triangular fuzzification of random variables and power of distribution tests: Empirical discussion
Computational Statistics & Data Analysis
Fuzzy nonparametric regression based on local linear smoothing technique
Information Sciences: an International Journal
Fuzzy Sets and Systems
Extended support vector interval regression networks for interval input-output data
Information Sciences: an International Journal
Management of uncertainty in Statistical Reasoning: The case of Regression Analysis
International Journal of Approximate Reasoning
Information Sciences: an International Journal
Estimation of a simple linear regression model for fuzzy random variables
Fuzzy Sets and Systems
An enhanced fuzzy linear regression model with more flexible spreads
Fuzzy Sets and Systems
Fuzzy clusterwise linear regression analysis with symmetrical fuzzy output variable
Computational Statistics & Data Analysis
The fuzzy approach to statistical analysis
Computational Statistics & Data Analysis
General fuzzy regression using least squares method
International Journal of Systems Science
A linear regression model for imprecise response
International Journal of Approximate Reasoning
A revisited approach to linear fuzzy regression using trapezoidal fuzzy intervals
Information Sciences: an International Journal
A fuzzy varying coefficient model and its estimation
Computers & Mathematics with Applications
A class of fuzzy clusterwise regression models
Information Sciences: an International Journal
Weighted fuzzy ridge regression analysis with crisp inputs and triangular fuzzy outputs
International Journal of Advanced Intelligence Paradigms
Robust fuzzy regression analysis
Information Sciences: an International Journal
A Midpoint--Radius approach to regression with interval data
International Journal of Approximate Reasoning
Fuzzy least-absolutes regression using shape preserving operations
Information Sciences: an International Journal
Generation of a probabilistic fuzzy rule base by learning from examples
Information Sciences: an International Journal
Semidefinite Programming-Based Method for Implementing Linear Fitting to Interval-Valued Data
International Journal of Fuzzy System Applications
Information Sciences: an International Journal
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The problem of regression analysis in a fuzzy setting is discussed. A general linear regression model for studying the dependence of a LR fuzzy response variable on a set of crisp explanatory variables, along with a suitable iterative least squares estimation procedure, is introduced. This model is then framed within a wider strategy of analysis, capable to manage various types of uncertainty. These include the imprecision of the regression coefficients and the choice of a specific parametric model within a given class of models. The first source of uncertainty is dealt with by exploiting the implicit fuzzy arithmetic relationships between the spreads of the regression coefficients and the spreads of the response variable. Concerning the second kind of uncertainty, a suitable selection procedure is illustrated. This consists in maximizing an appropriately introduced goodness of fit index, within the given class of parametric models. The above strategy is illustrated in detail, with reference to an application to real data collected in the framework of an environmental study. In the final remarks, some critical points are underlined, along with a few indications for future research in this field.