On the oscillating power sequence of a fuzzy matrix

被引：35

作者：

Fan, ZT ^{[1
]}

Liu, DF ^{[1
]}

机构：

[1] Beijing Polytech Univ, Dept Math Appl, Beijing 100022, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 1998年 / 93卷 / 01期

关键词：

fuzzy relations; fuzzy matrix; operators; algebra; Boolean matrix; oscillating power sequence;

D O I：

10.1016/S0165-0114(96)00194-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The properties of an oscillating power sequence of an n x n fuzzy matrix have been studied. The necessary and sufficient conditions have been established for a power sequence to be oscillatory. Furthermore, the oscillation index was detailed to some degree; especially for some typical Boolean matrices. It is also shown that the period index set of the power sequences of fuzzy matrices of order n is not bounded from above by a power of n for all integers n. (C) 1998 Elsevier Science B.V.

引用

页码：75 / 85

页数：11

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