LINEAR-OPERATORS THAT STRONGLY PRESERVE COMMUTING PAIRS OF FUZZY MATRICES

被引：4
|
作者：
BEASLEY, LB [1 ]
PULLMAN, NJ [1 ]
机构：
[1] QUEENS UNIV,KINGSTON K7L 3N6,ONTARIO,CANADA
来源：
FUZZY SETS AND SYSTEMS | 1991年 / 41卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
FUZZY MATRIX; LINEAR OPERATOR; COMMUTING MATRICES; PRESERVER;
D O I：
10.1016/0165-0114(91)90220-K
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
For each n greater-than-or-equal-to 3, we characterize the linear operators, T, on the n x n fuzzy matrices that preserve commutativity strongly (that is, T(X) commutes with T(Y) if and only if X commutes with Y, for all X and Y). Characterizations of the corresponding linear operators on the fuzzy symmetric matrices are also obtained.
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页码：167 / 173
页数：7
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