Abstract
One of the objectives in modeling is to have a simple model to explain a complex phenomenon. In this paper, we propose a mathematical modeling said fuzzy of a linear regression model and we establish consistency of model estimators. The fuzzy modeling approach demonstrated here resolves vagueness in the behavior of input and output variables. It keeps for that the real behavior of distributions and verifies therefore the validity of the verbal explanation suggested by the observer. An application based on a group of MENA countries in 2015 is presented to estimate Employment Poverty relationship.