Fuzzy linear programming for farm planning

The national use and management of agricultural land has been an important problem to agriculture official department. To avoid unrational use in the future requires an approach that combines the best elements of technology that can properly describe the complexity of farm planning problem and obtain its optimal solution. The mathematical optimization and simulation methods such as linear programming are often used to achieve the above goals. Although in many studies, these methods can significantly aid in evaluation and selection of farm planning, their results, however, can not be implemented in practical problems, because the traditional mathematical methods can not rationally describe a problem which contains large amount of linguistic oral statements and fuzzy relations. Consequently their optimal solution could not be accepted. This study shows three methods: Zimmermann, Wrners, Chanas and Verdegay, which can properly describe linguistic objective and vague constraints through the linear membership function which are only a rough approximation of realities for a farm planning problem.