| 一种组合加权几何平均算子及其应用 |
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| 引用本文： | 徐泽水,达庆利. 一种组合加权几何平均算子及其应用[J]. 东南大学学报(自然科学版), 2002, 32(3): 506-509 |
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| 作者姓名： | 徐泽水 达庆利 |
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| 作者单位： | 东南大学经济管理学院,南京,210096 |
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| 基金项目： | 国家自然科学基金资助项目 ( 79970 0 93)，东南大学南瑞继保公司学位论文基金资助项目 |
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| 摘 要： | 提出了一种集结数据信息的组合加权几何平均（CWGA）算子，证明了加权几何平均（WGA）算子以及有序加权几何平均（OWGA）算子均为CWGA算子的特例，CWGA算子的根本特点是：不仅考虑每个数据的自身重要性程度，而且还体现了每个数据所在位置的重要性程度，最后，提出了一种基于WGA及CWGA算子的多属性群决策方法，并通过实例对该决策方法的合理性和有效性进行了说明。
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| 关 键 词： | 组合加权几何平均算子 多属性决策 数据信息 加权几何平均算子 有序加权几何平均算子 |
| 文章编号： | 1001-0505(2002)03-0506-04 |
Combined weighted geometric averaging operator and its application |
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| Xu Zeshui Da Qingli. Combined weighted geometric averaging operator and its application[J]. Journal of Southeast University(Natural Science Edition), 2002, 32(3): 506-509 |
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| Authors: | Xu Zeshui Da Qingli |
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| Abstract: | A combined weighted geometric averaging (CWGA) operator is presented and both the well known weighted geometric averaging (WGA) operator and the ordered weighted geometric averaging (OWGA) operator are proved to be the special cases of the CWGA operator. The fundamental aspect of the CWGA operator is that it takes the importance degrees of both individual argument and its relative position into account. Finally, a method based on the WGA and CWGA operators for multi-attribute group decision-making problems is proposed, and an illustrative example is given to verify the developed method and to demonstrate its reasonability and effectiveness. |
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| Keywords: | multi-attribute decision-making aggregation operator |
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