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Application of Fuzzy Goal Programming in Cropping Pattern Management of Selected Crops in Mazandaran Province ( Case Study Amol Township )

Given the role and importance of agricultural farms management, applying the mathematical programming models have important role in determining the optimal cropping pattern. In this study, the history of the application of mathematical programming models in agriculture is provided firstly, and then given the restrictions for linear programming and goal programming models, a fuzzy goal programming model is used for optimizing cropping patterns under three scenarios. The objectives of this study include profit (Gross Margin) maximizing, achieving self-sufficiency and achieving self-sufficiency of essential agricultural products and profit maximizing simultaneously. Maximizing the profit in micro level and achieving self-sufficiency in macro level are important. In this study in order to suggest an optimum cropping pattern using a two stage classified sampling method a sample size of 50 were selected from agriculture areas of Amol Township of Mazandarn province. Results of Fuzzy models (model 3) with the objective of profit maximization and self-sufficiency showed that implementation of optimum cropping pattern (model 3) will increase planned profit compared with model 2 (fuzzy model with objective of selfsufficiency) up to 142 billion Rials. At the same time, the area under cultivation of aromatic paddy, High yielding paddy, rain-fed barley and rain-fed canola will be 12582, 7844, 115 and 5444 hectare higher compared with the model 1 (fuzzy model with objective of profit maximization).