Fuzzy crop planning problem based on possibility measure

In agricultural management, it is significant that farms parcel their lands for some crops. Usually since the total profits of the farm are described as linear functions, we can obtain an optimal crop plan by solving a simple linear programming problem. But as the profit coefficients for crops are fixed after the harvest-time, we should treat them as uncertain values in the sowing period. We consider the crop planning problem where the profit coefficients for crops are fixed numbers.