Fuzzy regression model has been widely used in recent years throughout the globe. In view of this, an attempt has been made in this research paper to present the review of fuzzy regression model for better estimation and prediction. The regression analysis is statistical tool used for prediction. As we know that the regression analysis follows Gaussian assumptions, sometimes dataset is too smal...

In this paper, a new method for estimating the linear regression coefficients approximation is presented based on Z-numbers. In this model, observations are real numbers, regression coefficients and dependent variables (y) have values ​​for Z-numbers. To estimate the coefficients of this model, we first convert the linear regression model based on Z-numbers into two fuzzy linear regression mode...

Fuzzy data given by expert knowledge can be regarded as a possibility distribution by which possibilistic linear systems are defined. Recently, it has become important to deal with fuzzy data in connection with expert knowledge. Three formulations of possibilistic linear regression analysis are proposed here to deal with fuzzy data. Since our formulations can be reduced to linear programming pr...

Logistic regression is a non-linear modification of the linearregression. The purpose of the logistic regression analysis is tomeasure the effects of multiple explanatory variables which can becontinuous and response variable is categorical. In real life there aresituations which we deal with information that is vague innature and there are cases that are not explainedprecisely. In this regard,...

Since Tanaka et al. in 1982 proposed a study in linear regression with a fuzzy model, fuzzy regression analysis has been widely studied and applied in various areas. However, Tanaka’s approach may give an incorrect interpretation of the fuzzy linear regression results when outliers are present in the data set. To handle the outlier problem, we propose an omission approach for Tanaka’s linear pr...

In this paper, we aim to extended the constraints of Tanaka’s model. Applied coefficients of the fuzzy regression by them is the symmetric triangular fuzzy numbers, while we try to replace it by more general asymmetric trapezoidal one. Possibility of two asymmetric trapezoidal fuzzy numbers is explained by possibility distribution. Two different models is presented and a numerical example is gi...

Abstract: In this paper, the estimation of Fuzzy Linear Regression (FLR) is computed by using leastsquare approach. For using this approach, a solution of Fuzzy Linear System (FLS) is required. This solution is computed by applying an iterative method (Huang’s Algorithm) which this alternative method is powerful to compute the solutions without using the inverse of coefficient matrix. Experimen...

This paper presents the comparative study for fuzzy regression model using linear programming, fuzzy regression model using genetic algorithms and standard regression model. The fuzzy and standard models were developed for estimation of electric power losses in electrical networks. Simulation was carried out with a tool developed in MATLAB.