| 一种FOWG算子及其在模糊AHP中的应用 |
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| 引用本文： | 徐泽水. 一种FOWG算子及其在模糊AHP中的应用[J]. 系统工程与电子技术, 2002, 24(7): 31-33 |
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| 作者姓名： | 徐泽水 |
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| 作者单位： | 东南大学经济管理学院,江苏,南京,210096 |
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| 基金项目： | 东南大学-南瑞继保公司博士学位论文基金项目资助课题 |
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| 摘 要： | 给出了三角模糊数两两比较的可能度公式 ,研究了它的一些优良性质。基于可能度公式 ,提出了一种模糊有序加权几何平均 (FOWG)算子。利用该算子对模糊AHP中以三角模糊数判断矩阵形式给出的判断信息进行了集结 ,而且 ,基于FOWG算子及互补判断矩阵的排序公式 ,给出了一种对决策方案进行排序和择优的算法。最后通过算例说明了该方法的有效性和实用性。
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| 关 键 词： | 有序加权平均算子 判断矩阵 三角模糊数 |
| 文章编号： | 1001-506X(2002)07-0031-03 |
| 修稿时间： | 2001-06-04 |
A Fuzzy Ordered Weighted Geometric Operator and Its Application in Fuzzy AHP |
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| XU Ze-shui. A Fuzzy Ordered Weighted Geometric Operator and Its Application in Fuzzy AHP[J]. System Engineering and Electronics, 2002, 24(7): 31-33 |
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| Authors: | XU Ze-shui |
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| Abstract: | This paper first introduces the formula of possibility degree for the comparison between two triangular fuxxy numbers, and studies its desirable properties. Based on the formula,this paper then presents a fuzzy ordered weighted geometric (FOWG) operator, and utilizes the FOWG operator to aggregate the information given in the form of triangular fuzzy number judgement matrix in fuzzy AHP. Furthermore, based on the FOWG operator and the priority formula of complementary judgement matrix, an algorithm for priorities of the decision alternatives is proposed. Finally, a numerical example is given to clarify the developed algorithm and demonstrate its effectiveness and practicality. |
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| Keywords: | OWA operator Judgement matrix Triangular fuzzy number |
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