An Algorithm of Multiple Criteria Decision-Making Based on Similarity to Ideal Grey Relational Projection
An Algorithm of Multiple Criteria Decision-Making Based on Similarity to Ideal Grey Relational Projection
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发表时间：
2007
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通讯作者：
Xiao Bin
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作者：
Xiao Bin
本文研究了多目标决策问题，综合运用灰色系统理论、与理想解相似排序法和向量投影法，提出了一种基于与理想灰关联投影相似度的多准则决策新算法，介绍了该算法的原理和一些基本概念，并给出了决策实例。建立了同时考虑方案与正理想方案、方案与负理想方案的贴近度的决策模型，并总结了运用该算法进行决策的一般步骤，提出了决策方法，并给出了具体的决策步骤。提出了基于方案区分度的敏感性分析方法，最后，通过实例验证了所提出的决策算法和灵敏度分析方法的可行性和有效性，该算法具有较高的灵敏度水平，为多准则决策提供了一种新的思路和更可靠的依据。制作。
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.