Abstract

One important method for finding the optimal solution for linear and nonlinear models is the graphical method, which is used if the linear or nonlinear mathematical model contains one, two, or three variables. Models that contain only two variables are models for which the optimal solution has been obtained graphically, whether these models are linear or non-linear in references that rely on classical logic. In this research, we present a study through which we present the graphical method for solving nonlinear neutrosophical models in the following case: (1) The objective function is a nonlinear function, and the constraints are linear functions. (2) The objective function is a linear function and the constraints are non-linear. (3) The objective function is a non-linear function and the constraints are non-linear. In the three cases, the optimal solution is the vector that satisfies all the constraints and at which the function reaches a maximum or minimum value depending on the nature of the subject under study (note that it does not have to be unique).

Keywords: Nonlinear models, Neutrosophic logic, Neutrosophic nonlinear models, Graphical method