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This paper presents how the fuzzy goal programming (FGP) and interval valued goal programming (IVGP) can be efficiently used for modelling and solving land allocation problems for optimal production of seasonal crops in agricultural system. In the proposed approach, utilization of cultivable land, production of crops and target level of profit are fuzzily described. The supply and utilization of productive resources are considered interval valued to reach a satisfactory decision in the decision making environment. In the solution process, a genetic algorithm (GA) scheme is employed for achievement of the different goals on the basis of assigned weights of importance in the decision making situation. The potential use of the approach is demonstrated by a case example of the Nadia District, West Bengal (W. B.), INDIA.