一种基于相对偏差的多目标规划方法

Fachao Li, Kaixin Feng
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引用次数: 0

摘要

多目标规划作为处理多目标问题的有效数学模型,广泛应用于复杂系统优化、管理决策分析和人工智能等领域。本文首先分析了基于优先因素的多目标规划模型的特点和不足,提出了一种基于相对偏差的多目标规划方法。主要引入相对偏差来描述与目标值的偏差程度,反映决策结果的满意状态。建立了各目标处于同一层次的规划模型,并结合具体案例分析了该方法的有效性。综合分析及相应结论表明,所建立的求解模型既保证了解的存在性,又保证了决策结果的可靠性。具有较强的解释性和可操作性,在一定程度上丰富了现有的模糊决策方法。
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A Multi-objective Programming Method Based on Relative Deviation
Multi-objective programming, as an effective mathematical model for dealing with multiple objectives, is widely used in the fields of complex system optimization, management decision analysis and artificial intelligence. This paper first analyzes the characteristics and deficiencies of the multi-objective planning model based on priority factors, and proposes a multi-objective planning method based on relative deviations. It mainly introduces the relative deviation to describe the degree of deviation from the target value and reflect the satisfactory state of the decision results. It establishes a planning model in which each objective is at the same level, and analyzes the effectiveness of the method in conjunction with a specific case. The comprehensive analysis and the corresponding conclusions show that the solution model established not only ensures the existence of the solution, but also guarantees the reliability of the decision-making result. It has strong explanatory and operability, and to a certain extent, enriches the existing fuzzy decision-making method.
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