Management of water-food-energy nexus (WEFN) is of great importance to achieve the Sustainable Development Goals. The development of WEFN management strategies is challenged by extensive uncertainties in different system components. Also, agricultural activities would contribute a large portion of the total GHG emissions in many countries, which are affecting the promised carbon neutrality in future. In this study, an inexact fractional fuzzy chance constraint programming method was developed towards planning the water-food-energy nexus system under consideration of both uncertainties and greenhouse gases (GHG) emission. An inexact fractional fuzzy chance constraint programming-based water-energy-food nexus (IFFCCP-WEFN) model has been established under consideration of various restrictions and GHG emissions. Solutions of the planting areas for different crops in different periods have been generated. These results imply that the corn cultivation would be prioritized to satisfy cereal demand due to its relatively lower GHG emission intensity. But the residual resources, after satisfying cereal demand, would tend to be allocated to vegetable planting. Comparison has been conducted among the IFFCCP-WEFN model and WEFN models based the inexact fuzzy chance constraint programming approach with and without GHG emissions. The results indicate that, the results from IFFCCP-WEFN model would achieve a highest unit benefit and lowest total GHG emissions. The total GHG emissions can be 11% less at most than GHG emissions from the resulting crop structures of the other two comparable models. Consequently, the developed IFFCCP-WEFN model can help decision-makers identify the desirable planting structure for crops with a priority of low GHG emission rate. The major contributions in this study include (i) the inexact fractional fuzzy chance constraint programming method to deal with interval and fuzzy parameters, reflect decision makers’ preferences and handle conflicts among contradictory objectives, (ii) the IFFCCP-WEFN model to achieve a maximized unit benefit with respect GHG emissions

水-食物-能源关系 (WEFN) 的管理对于实现可持续发展目标非常重要。WEFN 管理策略的发展受到不同系统组件的广泛不确定性的挑战。此外，农业活动将占许多国家温室气体排放总量的很大一部分，这将影响未来承诺的碳中和。在这项研究中，在考虑不确定性和温室气体 (GHG) 排放的情况下，开发了一种不精确的分数模糊机会约束规划方法来规划水-食物-能源关系系统。在考虑各种限制和温室气体排放的情况下，建立了基于不精确分数模糊机会约束规划的水-能源-食物关系（IFFCCP-WEFN）模型。已生成不同时期不同作物种植面积的解决方案。这些结果意味着玉米种植将优先满足谷物需求，因为其温室气体排放强度相对较低。但剩余资源在满足谷物需求后，往往会分配给蔬菜种植。已经在 IFFCCP-WEFN 模型和基于不精确模糊机会约束规划方法的 WEFN 模型之间进行了比较，有和没有温室气体排放。结果表明，IFFCCP-WEFN模型的结果将实现最高的单位效益和最低的温室气体排放总量。温室气体总排放量最多比其他两个可比模型的作物结构产生的温室气体排放量少 11%。最后，开发的 IFFCCP-WEFN 模型可以帮助决策者确定优先考虑低温室气体排放率的作物的理想种植结构。本研究的主要贡献包括（i）处理区间和模糊参数的不精确分数模糊机会约束规划方法，反映决策者的偏好并处理矛盾目标之间的冲突，（ii）IFFCCP-WEFN模型实现最大化温室气体排放的单位收益