ArticleOriginal scientific text
Title
Maximal column rank preservers of fuzzy matrices
Authors 1, 1
Affiliations
- Department of Mathematics, Cheju National University, Cheju 690-756, South Korea
Abstract
This paper concerns two notions of rank of fuzzy matrices: maximal column rank and column rank. We investigate the difference of them. We also characterize the linear operators which preserve the maximal column rank of fuzzy matrices. That is, a linear operator T preserves maximal column rank if and only if it has the form T(X) = UXV with some invertible fuzzy matrices U and V.
Keywords
linear operator on matrices, fuzzy matrix, maximal column rank of a matrix, congruence operator on matrices, chain semiring
Bibliography
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Pages:
207-218
Main language of publication
English
Received
2001-03-31
Accepted
2001-08-27
Published
2001
DOI: 10.7151/dmgaa.1038
Exact and natural sciences