基于混合指标的灰色关联TOPSIS多属性决策模型

Gray Relational TOPSIS Multi-attribute Decision Making Model Based on Mixed Index

针对多属性决策指标体系中指标的难以共度性、备选方案与理想方案的距离关系以及相似度的差异性,将此三方面问题进行综合分析,构建了基于混合指标的灰色关联TOPSIS决策模型.不仅避免了不同数据类型指标值转化造成的信息损失和扭曲,并从位置关系和数据曲线相似性等二维物理空间上阐述了方案与理想方案的贴近度.最后通过一个实例及对比分析,验证了决策模型的有效性.

To solve the difficulty of index sharing in multi-attribute decision index system, the distance relationship and the dissimilarity of similarity between alternative and ideal solutions,the three problems are analyzed together to constructs the hybrid gray relational TOPSIS decision model.It contributes to not only avoiding loss of information and distortions caused by the conversion of the different data types of index value,but also showing the closeness between solutions and ideal solutions more clearly from the two-dimensional physical space in distance and data curve similarity.Finally,the validity of the decision model are verified by an example and comparative analysis.