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一种基于理想区间数和熵的多指标评价法 被引量:17
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作者 汪泽焱 王春霞 张金辉 《工程数学学报》 CSCD 北大核心 2006年第1期13-19,共7页
利用评价人员对待评方案给出的区间数评价值与理想区间数之间的差异和指标权系数的随机性, 给出一种新的多指标评价方法。利用优化方法建立数学模型,以实际评价值与理想评价值之间的差异和最小化与权系数熵的最大化为优化目标,用拉格朗... 利用评价人员对待评方案给出的区间数评价值与理想区间数之间的差异和指标权系数的随机性, 给出一种新的多指标评价方法。利用优化方法建立数学模型,以实际评价值与理想评价值之间的差异和最小化与权系数熵的最大化为优化目标,用拉格朗日乘子法给出模型的最优解,得到指标权系数。该方法能够结合评价人员的主观意志和客观事实,精确确定各指标的权系数。 展开更多
关键词 多指标评价 理想区间数 信息熵 指标权系
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Combining TOPSIS and GRA for supplier selection problem with interval numbers 被引量:8
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作者 张萌 李国喜 《Journal of Central South University》 SCIE EI CAS CSCD 2018年第5期1116-1128,共13页
Supplier selection can be regarded as a typical multiple attribute decision-making problem. In real-world situation, the values of the alternative attributes and their weights are always being nondeterministic, and as... Supplier selection can be regarded as a typical multiple attribute decision-making problem. In real-world situation, the values of the alternative attributes and their weights are always being nondeterministic, and as a result of this, the values are considered interval numbers. In addition, the common approach to measure the similarity between alternatives through their distance suffers from some minor shortcomings. To address these problems, this study develops a novel hybrid decision-making method by combining the technique for order preference by similarity to an ideal solution (TOPSIS) with grey relational analysis (GRA) for supplier selection with interval numbers. By introducing the intervals theory, the extensions of Euclidean distance and grey relational grade are defined. And then a new comprehensive closeness coefficient is constituted for supplier alternatives evaluation based on the interval Euclidean distance and the interval grey relational grade, which could indicate the distance-based similarity and the shape-based similarity simultaneously. A mtmerical example is taken to validate the flexibility of the proposed method, and result shows that this method can tackle the uncertainty in real-world supplier selection and also help decision makers to effectively select optimal suppliers. 展开更多
关键词 supplier selection interval number grey relational analysis (GRA) technique for order preference by similarity to an ideal solution (TOPSIS)
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