| 一类模糊双向联想记忆网络极限环的最大长度 |
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| 引用本文： | 张欣.一类模糊双向联想记忆网络极限环的最大长度[J].数学的实践与认识,2007,37(10):173-177. |
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| 作者姓名： | 张欣 |
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| 作者单位： | 北京化工大学,北方学院理工学院,河北,三河,065210 |
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| 摘 要： | 讨论了一类模糊双向联想记忆网络极限环的最大长度.首先,A是强连通布尔矩阵时,极限环的最大长度是A的周期指数per(A);其次,A具有形式(☆)时,若gcd(per(A1),per(A2))=1,则极限环的最大长度为max(per(A1),per(A2));若gcd(per(A1),per(A2))≥2,则其最大长度为lcm(per(A1),per(A2));最后对其进行推广.
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| 关 键 词： | 模糊双向联想记忆网络(FBAM) 极限环 极限环长度 |
| 修稿时间： | 2007年3月10日 |
The Maximum Length of Limit Cycle for a Special Fuzzy Bidirectional Associative Memories |
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| ZHANG Xin.The Maximum Length of Limit Cycle for a Special Fuzzy Bidirectional Associative Memories[J].Mathematics in Practice and Theory,2007,37(10):173-177. |
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| Authors: | ZHANG Xin |
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| Abstract: | The paper discussed the maximum length of limit cycle for a special fuzzy bidirectional associative memories and gave some results.Firstly,the maximum length of limit cycle is period index of A,i.e.per(A),if A is strongly connected Boolean matrix.Secondly,for A with the form(☆),the maximum length of limit cycle is max(per(A1),per(A2)),if gcd(per(A1),per(A2))=1;lcm(per(A1),per(A2)),if gcd(per(A1),per(A2))≥2.Finally,the results were generalized. |
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| Keywords: | fuzzy bidirectional associative memories limit cycle the length of limit cycle |
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