毕业设计（论文）模糊多目标线性规划的研究及应用.docxVIP

摘 要模糊多目标线性规划法是解决许多复杂的实际问题的一类重要的优化方法。本文对模糊规划的隶属函数的构造、模糊极值、模糊多目标线性规划模型的建立和求解以及在区域供电优化的调度问题中做了一些研究。随着工业化时代的迅速发展以及居民电器使用率的增加，让有限的电力资源显得日益紧张。因此为了加强对电力资源的合理规划和使用，使得有限的电力资源得到最大的利用，并且因区域电力资源的优化调度问题具有多目标性和模糊不确定性，本文采取模糊多目标线性规划的方法来对这个复杂的、难解的问题进行处理。本文借助了模糊数学中隶属度的知识将多个目标进行模糊化，并且对每一个目标都构造了隶属函数。最后建立出模糊多目标线性规划的数学模型，并通过具体的仿真例子进行计算并得出最后的解，验证了所构造的数学模型的有效性和实用性。本文的特色就是对多目标加入了权重计算，使用的权重方法是频数统计法。关键词：模糊规划；隶属函数；模糊极值；模糊多目标线性规划；频数统计法AbstractFuzzy multi-objective linear programming is an important optimization method to solve many complex practical problems. In this paper, the membership function of fuzzy programming, the construction of fuzzy extreme value, the establishment and solution of fuzzy multiobjective linear programming model and the scheduling problem of regional power supply optimization are studied.With the rapid development of the industrial era and the increase in household electrical appliances, the limited power resources are becoming increasingly tense. Therefore, in order to strengthen the rational planning and use of power resources, so that the limited use of limited power resources, and because of the regional power resources optimization scheduling problem with multi-objective and fuzzy uncertainty, this paper adopts fuzzy multi-objective linear programming To deal with this complex, difficult problem. In this paper, we use the knowledge of membership degree in fuzzy mathematics to fuzzify multiple targets, and construct the membership function for each target. Finally, a mathematical model of fuzzy multiobjective linear programming is established, and the final solution is calculated and the final solution is verified by the concrete simulation example. The validity and practicability of the constructed mathematical model are verified. The feature of this paper is to add a weight to the multi-objective calculation, the weight method used by others is rarely used frequency statistics.Key words:Fuzzy programming;membership function;fuzzy extremum;fuzzy multiobjective li