论文部分内容阅读
研究了属性权重完全未知,方案属性值和偏好值均为语言变量的多属性决策问题.首先,通过分析相关文献中利用方案属性值与偏好值之间的偏差得到属性权重的不合理性,在最小化方案综合属性值与偏好值的偏差的基础上,建立了一个求解属性权重的规划模型.其次,在各方案的属性值与属性正理想点的偏差最小的基础上,又建立一个求解属性权重的规划模型.第三,在综合考虑各属性下所有决策方案总的组合偏差之和最小的基础上,将上述两个规划模型相结合,得到了一个反映出决策者对两种不同信息的偏好程度的求解属性权重的规划模型,得到了语言多属性决策的一种组合方法.最后,通过实例说明方法的可行性与有效性.
We study the multi-attribute decision making problem that the attribute weight is completely unknown and the program attribute value and preference value are linguistic variables.Firstly, by analyzing the deviation between the attribute value and the preference value in the relevant literature, we get the irrationality of the attribute weight, Based on the deviation of the minimum value and the preference value of the minimization scheme, a planning model for solving the attribute weight is established.Secondly, on the basis of minimizing the deviation between the attribute value and the positive ideal point of each scheme, a solution attribute Weight.Finally, on the basis of taking into consideration the minimum sum of the total portfolio deviations of all the decision-making schemes under each attribute, the above two planning models are combined to obtain a model reflecting the difference between the two kinds of information The degree of preference to solve the attribute weight of the planning model, a language multi-attribute decision making a combination of methods.Finally, an example is given to illustrate the feasibility and effectiveness of the method.