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| 一种求模糊矩阵传递闭包的基于幂序列单增矩阵构造的新算法 | |
| 引用本文： | 赵峰,谷云东. 一种求模糊矩阵传递闭包的基于幂序列单增矩阵构造的新算法[J]. 模糊系统与数学, 2008, 22(6) |
| 作者姓名： | 赵峰 谷云东 |
| 作者单位： | 聊城大学,数学科学学院,山东,聊城,252059;华北电力大学(北京)数理学院,北京,102206 |
| 基金项目： | 973国家重大基础研究计划基金资助项目 ， 国家自然科学基金资助项目 ， 聊城大学科研基金资助项目 |
| 摘 要： | 引入幂序列单增模糊矩阵的概念并讨论它的性质, 给出一种基于幂序列单增模糊矩阵构造的求模糊关系矩阵传递闭包的新算法; 并通过与现有的两种传递闭包求解算法的比较分析, 借助实例说明了算法的有效性和简洁性. |
| 关 键 词： | 模糊关系矩阵 幂序列单增模糊矩阵 传递闭包 平方算法 |
A New Algorithm for Computing the Transitive Closure of General Fuzzy Matrix Based on Construction of Power Sequence Monotone Increasing Fuzzy Matrix |
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| ZHAO Feng,GU Yun-dong. A New Algorithm for Computing the Transitive Closure of General Fuzzy Matrix Based on Construction of Power Sequence Monotone Increasing Fuzzy Matrix[J]. Fuzzy Systems and Mathematics, 2008, 22(6) | |
| Authors: | ZHAO Feng GU Yun-dong |
| Affiliation: | ZHAO Feng1,GU Yun-dong2 (1.School of Mathematics Science,Liaocheng University,Liaocheng 252059,China,2.School of Mathematics , Physics,North China Electric Power University,Beijing 102206,China) |
| Abstract: | The power sequence monotone increasing fuzzy matrix and its properties are introduced.A new algorithm for computing the transitive closure of general fuzzy matrix is proposed based on the construction of power sequence monotone increasing fuzzy matrix.Compared with two well-known algorithms,the validity and computational complexity of the new algorithm is shown by an example. |
| Keywords: | Fuzzy Matrix Power Sequence Monotone Increasing Fuzzy Matrix Transitive Closure Squaring Algorithm |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |