基于区间灰数相离度的灰色关联决策模型

Grey Incidence Decision-making Model based on Interval Grey Number Deviation Degree

为了解决决策方案属性值为区间灰数、指标权重信息部分已知的多属性决策问题,利用灰色关联分析的理论、"核与灰度"思想及最优化理论开展研究。首先构建了区间灰数相离度公式,并提出了基于区间灰数相离度的灰色关联度模型;其次构建了基于区间灰数相离度的灰色关联决策方法;最后在充分利用客观信息的基础上综合考虑了决策者的主观意愿,提出了指标权重确定的优化模型。通过算例验证了该模型的可行性和实用性。

The paper discusses the problem of mul ti-attr ibute grey incidence decision-making tha t decision attribute values are interval grey numbers and part of the index weight information known . The research is carried out by using the theory of grey incidence analysis and ^the kernel and the degree of greynessJ, theory and optimization theory. Firstly, the formula of interval grey number deviation degree is constructed and grey incidence model of the interval grey number deviation degree is proposed based on The idea of grey system theory . Secondly,a grey relation decision-making method of interval grey number is constructed based on the deviation degree. Finally, the optimization model for determination of index weight is put forwarded based on the use of objective information and the subjective intention of decision maker is considered, an example verified the feasibility and practicability of the model.