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模糊关系的不动点及在计算传递闭包中的应用

Fixed-Points in Fuzzy Relations and the Application in Transitive Closure Calculation

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【作者】 陈贻源王忠山刘正林

【Author】 Chen Yiyuan Dept.of Math.,H. U. S.T. ,Wuhan 430074,China.;Wang Zhongshan ; Liu Zhenglin

【机构】 华中理工大学数学系

【摘要】 给出了模糊关系的不动点定义,以及找不动点的一些方法,阐述了不动点通路的性质。利用不动点及不动点通路的性质,改进了模糊关系传递闭包的计算方法。

【Abstract】 the existence of fixed-points in fuzzy relations is proved.Some methods for finding thefixed-points as well as the definitions of the walk,bridge and sub-bridge of fixed-points arepresented.It is also proved that fixed-points can be used to calculate transitive closure offuzzy relations,An approved algorithm for calculating the transitive closure is given and thesimulation results show that its speed is higher than that by Warshall′s.

  • 【文献出处】 华中理工大学学报 ,JOURNAL OF HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY , 编辑部邮箱 ,1994年08期
  • 【分类号】N941
  • 【被引频次】1
  • 【下载频次】37
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