| 具有区间数的多目标格序决策方法研究 |
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| 引用本文： | 郭春香,郭耀煌.具有区间数的多目标格序决策方法研究[J].预测,2004,23(5):71-73,30. |
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| 作者姓名： | 郭春香 郭耀煌 |
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| 作者单位： | 1. 西南交通大学,经济管理学院,四川,成都,610031
2. 西南科技大学,理学院,四川,绵阳,621000 |
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| 基金项目： | 国家自然科学基金资助项目(70371026) |
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| 摘 要： | 运用格序决策理论对区间数的排序问题进行研究，提出了一种新方法。在目前格序决策前期研究成果和以往的规范型决策研究的基础上，基于格提出了赋值函数的概念，并定义了两元素之间的“偏好距离”，然后证明了区间数构成的集合按照一定的比较规则构成一个偏序，求出区间数集(满足格序特征)中元素间的“偏好距离”该方法使用了比全序可更真实地反映决策者偏好结构的格序，它对提高决策的科学性和实用性有重要意义，最后给出了一个算例。
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| 关 键 词： | 多属性决策 区间数 格 偏序 |
| 文章编号： | 1003-5192(2004)05-0071-03 |
An Approach to Multiple Attribute Lattice Order Decision Making with Interval Numbers |
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| GUO Chun-xiang,GUO Yiao-huang.An Approach to Multiple Attribute Lattice Order Decision Making with Interval Numbers[J].Forecasting,2004,23(5):71-73,30. |
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| Authors: | GUO Chun-xiang GUO Yiao-huang |
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| Institution: | GUO Chun-xiang~1,GUO Yiao-huang~2 |
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| Abstract: | This paper investigates the problem of interval ranking by lattice order decision making theory, a new method is proposed .On the current research development of lattice order decision making and the previous study of formal decision making, the concept of value function is driven and the distance between two elements is defined based on the theory of lattice order decision making. Then, it is proved that the set of Interval Numbers constructs a poset according to some comparing formula. The distance between two intervals is worked out. In the approach, partial order is studied that can more embody the preference structure of makers than order. It is important to raise feasibility and rationality. Finally, a example is proposed. |
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| Keywords: | multiple attribute decision making interval numbers lattice partial order |
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