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针对指标权重和指标值信息都不完全的方案评价问题,提出了一种基于二次规划的方案决策方法。首先将机械产品方案的评价问题描述为不完全信息条件下的多目标决策问题,然后在对决策矩阵规范化处理的基础上,将不完全指标权重和指标值信息用线性关系式表示并将其视为未知变量构建二次规划模型,经求解得到指标权重和指标值,进而可计算出方案的评价值,选出最优方案。介绍了该方法的基本原理和步骤,最后通过一个机械产品的评价实例证明了方法的实用性和有效性。与其他方法比较,本文的方法简单方便,计算量小,保证了较强的实用性。
Aiming at the problem of program evaluation with incomplete index weight and index value information, a decision-making method based on quadratic programming is proposed. Firstly, the evaluation problem of mechanical product scheme is described as multi-objective decision problem under incomplete information. Based on the normalization of decision matrix, the information of incomplete index weight and index value is expressed as a linear relation, The quadratic programming model is constructed for unknown variables, and the index weights and index values are obtained. Then the evaluation value of the scheme can be calculated and the optimal scheme can be selected. The basic principle and procedure of the method are introduced. Finally, a practical example of the mechanical product is given to demonstrate the practicability and effectiveness of the method. Compared with other methods, the method of this paper is simple and convenient, the calculation is small, and ensures strong practicability.