Planning livestock diet with fuzzy requirements

Abstract Formulation of a balanced diet, which provides all nutritional requirements of livestock in accordance with its special physiological conditions, is not possible totally. According to the frequency and salient increasing of the breeding center in the country and the shortage of forage and food materials considering the available resources, diet optimization is considered as an essential program. Linear programming used to in diet formulation. Fuzzy linear programming presents a new perspective for solving of different problems such as livestock diet formulation. The main feature of fuzzy forms is their mathematical design, which allows the decision makers to work with intervals. In the formulation of a balanced diet by using fuzzy linear programming, the economic power of stockbreeder and the satisfaction percentage of animal nutrient requirements will be considered and determined. According to the decision maker’s idea and with special accuracy, the diet problem can formulate in accordance with the amount of livestock requirements satisfaction. Amount of α can be estimated as an interval for the fixed price. Accordingly, more requirement satisfaction means less cost changes. This paper discusses animal diet problem with fuzzy requirements. Firstly, the fuzzy linear programming problem is converted to interval linear programming problem by α-cuts and then Tang Shaocheng method is used to solve the proposed problem. Finally, a practical example of fuzzy linear programming problem in relation to optimized animal diet is presented and solved. The result showed that the uncertainty of food requirements slightly affected the budget of animal diet.