Determining optimal cultivation model corresponding with sustainable agricultureApplication of Multiple-objective Linear Fuzzy Fractional Programming (Case study: North Khorasan Province)

     By using cross-section data of 1384-85 of North Khorasan Province and Multiple-objective Linear Fuzzy Fractional Programming, this article tries to represent cultivation model corresponding with sustainable agriculture, and compares this model with result of simple Linear Programming and present cultivation model. Data were gathered through filling out 627 questionnaires from 55 villages by using two-stage random sampling method. Results of large- scale farms showed that the model offered by linear programming model is near to present cultivation model, meanwhile there is non-negligible difference between sustainable cultivation model and results of linear programming model and present cultivation model. Multiple-objective Linear Fuzzy Fractional Programming will reduce diversification of cultivation model. Based on this programming model, in large-scale farms, irrigated lands cultivation model, will change to wheat and in rain-fed lands, cultivation model will change to wheat and lentil. Also, this optimal cultivation model will reduce Gross Margin of present cultivation model by 51 percentages. This result in short-scale farm is different, to some extent. In order to gain sustainable cultivation model it is not necessary to make change a lot in present cultivation model, in short-scale farms irrigated lands cultivation model, will change to wheat, barley and corn and rain-fed lands cultivation model will change to wheat, barley and lentil. In this status, this optimal cultivation model will reduce Gross Margin of optimal cultivation model of present cultivation model by 19 percentages.   JEL calcification C61 – Q01 – Q18 – Q19