一种基于逼近于理想灰关联投影的多目标决策算法

分析了多目标决策问题;综合灰色系统理论、TOPSIS和矢量投影方法,提出了一种新的基于逼近于理想灰关联投影的多目标决策算法,介绍了该方法的基本原理和一些基本概念,建立了综合决策方案与正、负理想方案之间接近程度的决策模型,总结了用该方法进行决策分析的一般步骤;提出了一种基于方案区分度的决策灵敏度分析方法.实际算例验证了提出的多目标决策模型和决策灵敏度分析方法的可行性和有效性,该方法为多目标决策提供了一种新思路,决策灵敏度高,能为方案的决策提供更为可靠的科学依据.

An Algorithm of Multiple Criteria Decision-Making Based on Similarity to Ideal Grey Relational Projection

We have investigated the problems about multiple criteria decision-making.Using the grey system theory,technique for order preference by similarity to ideal solution,and the vector projection synthetically,a new algorithm of multiple criteria decision-making based on similarity to ideal grey relational projection was put forward.The principle of the algorithm and some basic concepts were introduced.The decision-making model in which the adjacency degree both between the plan and the positive ideal plan and between the plan and the negative ideal plan is taken into account synchronously was set up.And the general steps of decision-making using the algorithm were summarized.Then the method for decision-making sensitivity analysis which bases on the distinguishing degree of the plans was presented.At last,the feasibility and effectiveness of the proposed decision-making algorithm and the sensitivity analysis method were proved by an example.The algorithm which has the high sensitivity level offers a new thought way and more reliable basis for multiple criteria decision-making.