基于模糊线性规划的农产品种植效益问题研究——以石首市为例

Research on Planting Benefits of Agricultural Products Based on Fuzzy Linear Programming—A Case Study of Shishou City

摘要: 以湖北省石首市15个乡镇为研究对象，选取油菜籽、棉花、蔬菜、西瓜和芝麻五类作物，构建模糊线性规划模型。考虑5%追加补贴形成的预算弹性，引入隶属度变量，将模糊约束转化为普通线性规划模型。结果表明，引入隶属度变量后，模糊线性规划的优化效果比刚性线性规划具有显著的优越性。研究结果表明，模糊线性规划能够在预算弹性条件下提高土地与资金配置效率，为县域农产品种植结构优化提供参考。

Abstract: Taking 15 towns and townships in Shishou City, Hubei Province as the research object, this study selects five types of crops-rapeseed, cotton, vegetables, watermelon, and sesame-to construct a fuzzy linear programming model. Considering a budget elasticity formed by a 5% additional subsidy, a satisfaction variable is introduced to transform the fuzzy constraints into a crisp linear programming model. The results indicate that after introducing the membership variables, the optimization effect of fuzzy linear programming is significantly superior to that of rigid linear programming. Furthermore, the findings demonstrate that fuzzy linear programming can improve the efficiency of land and capital allocation under budget flexibility constraints, thereby providing a valuable reference for optimizing the planting structure of agricultural products at the county level.