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两类特殊S0-模糊传递矩阵的收敛性

, PP. 151-156

Keywords: 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

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Abstract:

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.

References

[1]  Zadeh L A. Similarity relations and fuzzy orderings[J]. Information Sciences,1971,3:177-200.
[2]  Hashimoto H. Conwergence of powers of a fuzzy transitive matrix[J]. Fuzzy Sets and Systems,1983,9:153-160.
[3]  Kolodziejczyk W. Orlovsky's concept of decision-making with fuzzy preference relation-further results[J]. Fuzzy Sets and Systems,1988,19:11-20.
[4]  Kolodziejczyk W. Decomposition problem of fuzzy relations:further results[J]. Inter J Gen Sys,1988,14:307-315.
[5]  Li J X. Controllable fuzzy matrices[J]. Fuzzy Sets and System,1992,45:313-319.
[6]  谷云东,刘文斌,潘逢宗. 模糊k-传递矩阵[J]. 青岛海洋大学学报:自然科学版,2000,30(4):718-722.
[7]  刘文斌,谷云东,陈文轶. 模糊k-强传递阵[J]. 模糊系统与数学,2002,16(1):36-39.
[8]  Fan Z T. The convergence index ofan implication matrix[J]. Fuzzy Sets and Systems,2001,123:265-269.
[9]  Fan Z T, Liu D F. On the oscillating power sequence of a fuzzy matrix[J]. Fuzzy Sets and Systems,1998,93:75-85.
[10]  范周田. 模糊矩阵理论与应用[M]. 北京:科学出版社,2006.
[11]  Lur Y Y, Wu Y K, Guu S M. On the max-generalized mean powers of a fuzzy matrix[J]. Fuzzy Sets and Systems,2010,161(5):750-762.
[12]  Lur Y Y, Wu Y K, Guu S M. Convergence of powers for a fuzzy matrix with convex combination of max-min and max-arithmetic mean operations[J]. Information Sciences,2009,179(7):938-944.
[13]  Lur Y Y, Wu Y K, Guu S M. Convergence of powers of a max-convex mean fuzzy matrix[J]. Fuzzy Systems,2008,4630424:562-566.
[14]  Tan Y J. On the transitive matrices over distributive lattices[J]. Linear Algebra and Its Applications,2005,400(1/3):169-191. The Convergence of Two Special Kinds of S0-fuzzy Transitive Matrices WANG Hui-li, WANG Xue-ping (College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, Sichuan) 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. Key words:strongly transitive matrix; S0-transitive matrix; Sz-fuzzy transitive matrix; Z0-fuzzy transitive matrix; oscillation period 2000 MSC:26E50

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