The Problem of Planning Neutrosophic Hydropower Systems (Converting Some Nonlinear Neutrosophic Models into Linear Neutrosophic Models)

Abstract

The core of operations research activity focuses on creating and using models. These models may be linear models, non-linear models, dynamic models, and others. Linear models are considered one of the most important and most widely used operations research models due to the availability of appropriate algorithms through which we can obtain the optimal solution, which prompts us to benefit from the nature of the topic under study and the information available to us about the variables in it to transform it into linear models. In classical logic, many nonlinear programming problems have been processed and transformed into linear programming problems. In this research, we present a study of the issue of planning hydroelectric systems, where the general policy for operating this system specifies two prices for selling the produced electricity, which makes this issue a non-linear programming issue. Wewill turn it into a linear programming problem using linear programming concepts, and then we will use Boolean concepts. Neutrosophic studies of linear programming and non-linear programming are presented to provide a neutrosophic formulation of the issueof planning hydroelectric systems, through which we obtain a neutrosophic linear model whose optimal solution fits all the conditions that the system’s operating environment may experience during the operating period. During the two operating periods.

Keywords

• operations research
• linear models
• nonlinear models
• neutrosophic logic
• neutrosophic linear models
• neutrosophic nonlinear models
• planning neutrosophic hydroelectric systems