Uncertainties factors, risks and poor decision making are the most critical factors of low production of crops and low profit on crop farming The past researcher couldn’t address the problems of Uncertainties, and poor decision making without priority order of goals, from this gab of the research, the research use both fuzzy and lexicographic goal programing optimization model for addressing the problem of uncertainty, risks, and prioritization order on crop production. Data collection methods included observations and discussions with a focus group. Fuzzy-lexicographic goal programming model can optimize crop production performance and profitability by addressing uncertainties and prioritizing goals. After proposed model the production of crops increased by 25.3%, while net profit show 24.22% increase. Additionally, there were reductions in fertilizer, machine hour time, labor requirements, and total production costs, by 5.03%, 4.6%, 8.8%, and 10.1%, respectively. The results of the study demonstrate that the validate optimization model provided a more optimal solution than the initial plans made by the farmer. In general fuzzy-lexicographic goal programming optimization model led to a more optimal outcome compared to the farmers' initial plans. Keywords: Multi-objective Optimization, Uncertainty problem of farming, Prioritizing multi-objectives, fuzzy–lexicographic goal programming model.