| 区间数互补判断矩阵排序的一种新方法 |
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| 引用本文： | 周宏安,刘三阳.区间数互补判断矩阵排序的一种新方法[J].西安电子科技大学学报,2006,33(2):292-294. |
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| 作者姓名： | 周宏安 刘三阳 |
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| 作者单位： | [1]西安电子科技大学理学院,陕西西安710071 [2]陕西理工学院基础课部,陕西汉中723000 |
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| 基金项目： | 陕西省自然科学基金;陕西省教育厅资助项目 |
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| 摘 要： | 研究了决策信息以区间数互补判断矩阵形式给出的多目标决策问题．给出了区间数一致性互补判断矩阵的概念及其判定定理；建立了一个目标规划模型，通过求解该模型得到区间数互补判断矩阵的权重向量；利用已有的可能度公式对方案进行排序与择优．提出了区间数互补判断矩阵排序的目标规划法，该方法具有操作简便和易于上机实现的特点．
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| 关 键 词： | 多目标决策 区间数一致性互补判断矩阵 目标规划 可能度 排序 |
| 文章编号： | 1001-2400（2006）02-0292-03 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 2005-04-20 |
Novel method for priorities in the interval numbers complementary judgment matrix |
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| ZHOU Hong-an,LIU San-yang.Novel method for priorities in the interval numbers complementary judgment matrix[J].Journal of Xidian University,2006,33(2):292-294. |
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| Authors: | ZHOU Hong-an LIU San-yang |
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| Affiliation: | (1) School of Science, Xidian Univ., Xi’an 710071， China;(2) Dept. of Basic Courses, Shaanxi Univ. of Technology, Hanzhong 723000， China |
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| Abstract: | We focus on studying the multi-objective decision making problems, in which the preference information provided by the decision maker takes the form of an interval numbers complementary judgment matrix. Firstly, the concept of interval numbers consistency comlementary judgment matrix and its judgment theorem are given. Secondly, a goal pmgramming model is estabhshed and the weight vector of interval numbers complementary judgment matrix is obtained by solving the model. Finally, the alternatives are ranked by using an existing priority formula of possibility. A goal progmming method for interval numbers complementary judgment matrix is presented and characterized by simple operation and it is easv to implement on computer. |
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| Keywords: | multi-objective decision-making interval numbers consistency complementary judgment matrix goal programming possibility priority |
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