Crop planning problem with random profit coefficients

The crop planning problem is often formulated as a linear programming problem. But, in many actual cases, the profit coefficients for agricultural products are not certain values because of the influence of the future weather, so a model of linear programming with constant valued coefficients does not describe the environment of decision making properly. Therefore, we propose a model of crop planning with uncertain values in order to support the decision making of agricultural farms. In this paper, we treat such uncertain elements, profit coefficients, as random variables and propose a crop planning model by fuzzy approach.