| 区间数互补判断矩阵的性质及相关问题研究 |
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| 引用本文： | 巩在武,刘思峰.区间数互补判断矩阵的性质及相关问题研究[J].运筹与管理,2006,15(3):25-30. |
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| 作者姓名： | 巩在武 刘思峰 |
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| 作者单位： | 南京航空航天大学,经济与管理学院,江苏,南京,210016 |
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| 基金项目： | 中国科学院资助项目;高等学校博士学科点专项科研项目 |
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| 摘 要： | 研究了区间数互补判断矩阵的性质问题。利用区间数互反判断矩阵与区间数互补判断矩阵之间的转换关系，给出了乘性一致性与加性一致性区间数互补判断矩阵的定义，并研究了一致性区间数判断矩阵的一些特殊性质；同时给出了区间数互补判断矩阵满意一致性的一个简单的判断方法与算法。文章的最后，通过一个例子来说明这个算法的有效性。
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| 关 键 词： | 多属性决策 区间数 判断矩阵 加性一致性 乘性一致性 算法 |
| 文章编号： | 1007-3221(2006)03-0025-06 |
| 收稿时间： | 11 18 2005 12:00AM |
| 修稿时间： | 2005年11月18 |
Research on Proprieties and the Corresponding Problems of Interval Number Complementary Judgment Matrices |
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| GONG Zai-wu,LIU Si-feng.Research on Proprieties and the Corresponding Problems of Interval Number Complementary Judgment Matrices[J].Operations Research and Management Science,2006,15(3):25-30. |
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| Authors: | GONG Zai-wu LIU Si-feng |
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| Institution: | College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016 |
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| Abstract: | Proprieties of interval number complementary judgment matrix have been studied. Based on the transformation between interval number reciprocal judgment matrix and interval number complementary judgment matrix, this paper proposes the definitions of additive consistency and multiplicative consistency for interval number complementary judgment and correlative definitions as well, and studies the particular proprieties of the consistency interval number judgment matrix. At the same time, it also puts forward a simple algorithm that can judge whether an interval number complementary has the propriety of satisfied transitivity. Finally, the algorithm is illustrated by a numerical examole, the result of which is feasible and effective. |
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| Keywords: | multi-attribute decision interval number judgment matrix additive consistency multiplicative consistency algorithm |
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