Least squares model fitting to fuzzy vector data
Fuzzy Sets and Systems
Information Sciences: an International Journal
Multiobjective fuzzy linear regression analysis for fuzzy input-output data
Fuzzy Sets and Systems
Why triangular membership functions?
Fuzzy Sets and Systems
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Shape preserving additions of fuzzy intervals
Fuzzy Sets and Systems
Evaluation of fuzzy linear regression models by comparing membership functions
Fuzzy Sets and Systems
Fuzzy least-squares linear regression analysis using shape preserving operations
Information Sciences—Informatics and Computer Science: An International Journal
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Fuzzy least-squares linear regression analysis for fuzzy input-output data
Fuzzy Sets and Systems - Information processing
A fuzzy linear regression model with better explanatory power
Fuzzy Sets and Systems - Information processing
Computational Statistics & Data Analysis
Introduction to Linear Regression Analysis, Solutions Manual (Wiley Series in Probability and Statistics)
Multiple regression with fuzzy data
Fuzzy Sets and Systems
Fuzzy regression using least absolute deviation estimators
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special issue on BISCSE 2005 " Forging the Frontiers" Part II
Asymptotic properties of least squares estimation with fuzzy observations
Information Sciences: an International Journal
C-fuzzy numbers and a dual of extension principle
Information Sciences: an International Journal
An enhanced fuzzy linear regression model with more flexible spreads
Fuzzy Sets and Systems
Least squares estimation of a linear regression model with LR fuzzy response
Computational Statistics & Data Analysis
Information Sciences: an International Journal
Fuzzy regression models using the least-squares method based on the concept of distance
IEEE Transactions on Fuzzy Systems
A revisited approach to linear fuzzy regression using trapezoidal fuzzy intervals
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Information Sciences: an International Journal
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The purpose of this study is to introduce a new fuzzy regression model, based on the least-absolutes method. The fuzzy simple and fuzzy multivariate regression models with fuzzy input-fuzzy output are considered in which the coefficients of the models are themselves fuzzy. The proposed method is based on a new metric on the space of LR fuzzy numbers. Fuzzy arithmetic operations are based on the weakest triangular norm, T"W, which is the unique triangular norm that preserves the shape of fuzzy numbers during multiplication. The results of comparative studies and numerical examples indicate that, using the similarity measure criterion as well as a predictive ability index, the proposed method has a better performance than the least-squares method, especially when the data set includes some outlier data point(s).