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基于组合权重的灰色关联理想解法及其应用
Grey Correlation Based on Combinational Weight and Its Application
【摘要】 引入灰色系统理论,对传统理想解法(TOPSIS)进行了拓展,提出了一种基于组合权重的灰色关联理想解法(GC-TOPSIS)。利用AHP和熵值法对决策指标进行组合赋权,依据灰色关联分析理论,以灰色关联度为决策单元构造GC-TOPSIS模型,最后通过一个供应商选择的实例验证了方法的有效性和可行性。
【Abstract】 Introducing the Grey system theory,this paper presents a new Grey correlation technique for order preference by similarity to ideal solution(GC-TOPSIS) and so as to develop the traditional TOPSIS.First,we decide the weight of every decision-making index by using AHP and entropy method. Second,according to Grey correlation analysis method,we establish GC-TOPSIS by using Grey correlation degree as decision-making unit.Finally,through a supplier selection problem we prove its validity and feasibility.
【关键词】 层次分析法;
熵值法;
传统理想解法;
灰色关联度;
灰色关联理想解法;
【Key words】 AHP; entropy method; traditional TOPSIS; Grey correlation degree; GC-TOPSIS;
【Key words】 AHP; entropy method; traditional TOPSIS; Grey correlation degree; GC-TOPSIS;
【基金】 国家自然科学基金项目(70371024);山东省自然科学基金项目(Y2003H01)
- 【文献出处】 工业工程与管理 ,Industrial Engineering and Management , 编辑部邮箱 ,2006年01期
- 【分类号】F224
- 【被引频次】126
- 【下载频次】1336