| 不完整格的格序化 |
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| 引用本文： | 郭春香,郭耀煌.不完整格的格序化[J].西南交通大学学报,2005,40(2):269-272. |
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| 作者姓名： | 郭春香 郭耀煌 |
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| 作者单位： | 1. 西南科技大学理学院,四川,绵阳,621000;西南交通大学经济管理学院,四川,成都,610031
2. 西南交通大学经济管理学院,四川,成都,610031 |
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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： | 研究了格序决策理论中格序结构不完整的问题．通过定义格上关键元及最小决定集的确定规则，得到了一种直接由偏序集求最小完备格的并、交不可约元(关键元)的方法；从分析最小格的结构着手，应用逆序嵌人映射的方法确定2个不存在最小(最大)上(下)确界的元素的最小(最大)上(下)确界，从而使得不完整格格序化．最后，举例说明了该方法的可行性．
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| 关 键 词： | 格序决策 偏序 格 不可约元 |
| 文章编号： | 0258-2724(2005)02-0269-04 |
Lattice Ordering of Incomplete Lattice |
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| GUO Chun-xiang,GUO Yao-huang.Lattice Ordering of Incomplete Lattice[J].Journal of Southwest Jiaotong University,2005,40(2):269-272. |
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| Authors: | GUO Chun-xiang GUO Yao-huang |
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| Abstract: | A problem in the lattice order decision-making theory, i.e., the structure of lattice order is incomplete, was investigated. By defining the regulation of determining key elements and the minimal decision set, a method was given to directly work out join- and meet-irreducible elements of the smallest complete lattice from a partial order set. The inverse order embedding mapping method was used to determine the greatest lower bound or the least upper bound of two elements without the greatest lower bound or the least upper bound to obtain the lattice order of incomplete lattice. Finally, an example was given to illustrate the feasibility of this method. |
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| Keywords: | lattice order decision-making partial order lattice irreducible elements |
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