| 约束半环诱导的赋值代数的轮廓解及其算法 |
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| 引用本文： | 许格妮,李永明,张云.约束半环诱导的赋值代数的轮廓解及其算法[J].数学杂志,2015,35(3):683-690. |
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| 作者姓名： | 许格妮 李永明 张云 |
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| 作者单位： | 陕西师范大学数学与信息科学学院, 陕西 西安 710062;西安财经学院统计学院, 陕西 西安 710100,陕西师范大学数学与信息科学学院, 陕西 西安 710062,西安财经学院统计学院, 陕西 西安 710100 |
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| 基金项目： | 国家自然科学基金资助(11271237;61228305;11201278);陕西省自然科学基金(2014JQ9372). |
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| 摘 要： | 本文研究了约束半环所诱导的赋值代数的轮廓解及其算法的问题.利用约束半环的性质,以及基于记忆约束半环赋值的方法,获得了约束半环所诱导的赋值代数的轮廓解的概念,性质以及算法的相关结论,推广了文献2]关于全序幂等半环诱导的赋值代数的轮廓解的结果.
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| 关 键 词： | 约束半环 赋值代数 轮廓解 扩展解 |
| 收稿时间： | 2013/9/12 0:00:00 |
| 修稿时间： | 2013/12/24 0:00:00 |
SOLUTION CONFIGURATION AND ITS ALGORITHM OFVALUATION ALGEBRA INDUCED BY CONSTRAINT SEMIRING |
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| XU Ge-ni,LI Yong-ming and ZHANG Yun.SOLUTION CONFIGURATION AND ITS ALGORITHM OFVALUATION ALGEBRA INDUCED BY CONSTRAINT SEMIRING[J].Journal of Mathematics,2015,35(3):683-690. |
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| Authors: | XU Ge-ni LI Yong-ming and ZHANG Yun |
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| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi''an 710062, China;College of Statistics, Xi''an University of Finance and Economics, Xi''an 710100, China,College of Mathematics and Information Science, Shaanxi Normal University, Xi''an 710062, China and College of Statistics, Xi''an University of Finance and Economics, Xi''an 710100, China |
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| Abstract: | In this paper, we study solution conflguration and its algorithm of valuation algebra induced by a constraint semiring. By means of the properties of constraint semiring, and based on the method of memorizing constraint semiring valuation, the properties and algorithm of solution conflguration in valuation algebra induced by a constraint semiring are given. The conclusion of the reference 2] is extended and promoted. |
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| Keywords: | constraint semiring valuation algebra solution conflguration solution extension |
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