| 混合互补判断矩阵一致性研究 |
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| 引用本文： | 侯福均,吴祈宗.混合互补判断矩阵一致性研究[J].数学的实践与认识,2005,35(4):46-55. |
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| 作者姓名： | 侯福均 吴祈宗 |
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| 作者单位： | 北京理工大学管理与经济学院,北京,100081 |
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| 摘 要： | 给出混合互补判断矩阵一致性的定义和判别加性一致性的方法.定义了核算子、核矩阵,对带有精确数、三角模糊数和梯形模糊数的混合互补判断矩阵给出基于核矩阵的一致性调整方法,调整量可以是精确数也可以是模糊数.最后给出一个应用实例.
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| 关 键 词： | 群决策 模糊数 互补判断矩阵 一致性 核算子 核矩阵 |
| 修稿时间： | 2003年8月25日 |
Study on Consistency of Hybrid Complementary Judgment Matrix |
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| HOU Fu-jun,WU Qi-zong.Study on Consistency of Hybrid Complementary Judgment Matrix[J].Mathematics in Practice and Theory,2005,35(4):46-55. |
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| Authors: | HOU Fu-jun WU Qi-zong |
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| Abstract: | In respect of hybrid complementary judgment matrix, consistency definition and method for identifying the degree of additive consistency are given. Propose definition of kernel operator and approaches to improving additive consistency of hybrid complementary judgment matrix with exact numbers, triangular fuzzy numbers and trapezoidal fuzzy numbers based on kernel matrix. For an inconsistent judgment matrix with fuzzy numbers, the rectifying value can be a fuzzy number or an exact one. Finally, a numerical example is given. |
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| Keywords: | group decision making fuzzy number complementary judgment matrix consistency kernel operator kernel matrix |
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