| Mixed Least Square Method for Priority of Complementary Judgement Matrix and Its Algorithm |
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| 引用本文： | 周宏安 刘三阳. Mixed Least Square Method for Priority of Complementary Judgement Matrix and Its Algorithm[J]. 西南交通大学学报(英文版), 2007, 15(1): 75-79 |
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| 作者姓名： | 周宏安 刘三阳 |
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| 作者单位： | School of Science Xidian University Xi'an 710071 China，Department of Mathematics Shaanxi University of Technology Hanzhong 723000 China，School of Science Xidian University Xi'an 710071 China |
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| 基金项目： | Foundation items The Project of Shaanxi Provincial Natural Science Foundation of China （ No. 2004A05） ; the Project of Science and Research Foundation of Education Committee of Shaanxi Province （ No. 06JK324 ） |
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| 摘 要： | Introduction Multi-objective decision-making theories play animportant role in modern decision-making science,and have been widely applied to many decision-mak-ing fields, such as systemic optimization, economicevaluation, urban planning, etc. In order to…
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| 关 键 词： | 最小二乘方准则 优先权 经济数学 经济评价 控制论 |
| 文章编号： | 1005-2429（2007）01-0075-05 |
| 收稿时间： | 2006-02-22 |
Mixed Least Square Method for Priority of Complementary Judgement Matrix and Its Algorithm |
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| ZHOU Hong-an,LIU San-yang. Mixed Least Square Method for Priority of Complementary Judgement Matrix and Its Algorithm[J]. Journal of Southwest Jiaotong University, 2007, 15(1): 75-79 |
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| Authors: | ZHOU Hong-an LIU San-yang |
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| Abstract: | Based on the concept of multiplicative fuzzy consistent complementary judgement matrix, the mixed least square method (MLSM) for priority of complementary judgement matrix is proposed and proved. Then, the corresponding convergent iterative algorithm is given and its convergence is proved. Finally, some main properties of the developed priority method, such as rank preservation under strong condition, etc., are introduced. The theoretical analyses show that the MLSM can sufficiently reflect the preference information of the decision maker, and is easy to realize on a computer. |
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| Keywords: | Multi-objective decision-making Fuzzy complementary judgement matrix Consistency Mixed least square method Priority |
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