| 两类特殊S0-模糊传递矩阵的收敛性 |
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| 引用本文： | 王绘莉,王学平.两类特殊S0-模糊传递矩阵的收敛性[J].四川师范大学学报(自然科学版),2012(2):151-156. |
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| 作者姓名： | 王绘莉 王学平 |
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| 作者单位： | 四川师范大学数学与软件科学学院 |
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| 基金项目： | 国家自然科学基金(11171242);教育部博士点基金(20105134110002);四川省杰出青年科技基金(2011JQ0055)资助项目 |
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| 摘 要： | 定义了两类特殊的S0-模糊传递矩阵,讨论它们的收敛性.首先定义了Sz-模糊传递矩阵,证明了对任意n阶Sz-模糊传递矩阵A有An=A2n=A3n=….其次定义了Z0-模糊传递矩阵,证明了对任意n阶Z0-模糊传递矩阵A,A(n-1)2+1中元素全是非零元,并给出A(n-1)2+1=A(n-1)2+2=…成立的充分条件以及振荡周期PA=n-1的充分条件.
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| 关 键 词： | 强传递矩阵 S0-模糊传递矩阵 Sz-模糊传递矩阵 Z0-模糊传递矩阵 收敛周期 |
The Convergence of Two Special Kinds of S0-fuzzy Transitive Matrices |
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| WANG Hui-li,WANG Xue-ping.The Convergence of Two Special Kinds of S0-fuzzy Transitive Matrices[J].Journal of Sichuan Normal University(Natural Science),2012(2):151-156. |
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| Authors: | WANG Hui-li WANG Xue-ping |
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| Institution: | (College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
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| Abstract: | In this paper,two special kinds of S0-matrices are defined and its convergence is studied.First,a defintion of Sz-fuzzy transitive matrix is given,it is proved that An=A2n=A3n=… for every n× n Sz-fuzzy transitive matrix A.Then a definition of Z0-fuzzy transitive matrix is introduced,it is shown that all the entries of A(n-1)2+1 are nonzero.Finally,some sufficient conditions for a Z0-fuzzy transitive matrix to convergent and for the oscillation period to be equal to n-1 for any n×n Z0-fuzzy transitive matrix A are given. |
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| Keywords: | strongly transitive matrix S0-transitive matrix Sz-fuzzy transitive matrix Z0-fuzzy transitive matrix oscillation period |
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