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Maximal column rank preservers of fuzzy matrices

100%

Song S.-Z., Park S.-R.

Discussiones Mathematicae - General Algebra and Applications

2001

tom 21

nr 2

207-218

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.

Linear operators preserving maximal column ranks of nonbinary boolean matrices

86%

Song S.-Z., Yang S.-D., Hong S.-M., Jun Y.-B., Kim S.-J.

Discussiones Mathematicae - General Algebra and Applications

2000

tom 20

nr 2

255-265

The maximal column rank of an m by n matrix is the maximal number of the columns of A which are linearly independent. We compare the maximal column rank with rank of matrices over a nonbinary Boolean algebra. We also characterize the linear operators which preserve the maximal column ranks of matrices over nonbinary Boolean algebra.

Ograniczanie wyników

2 Discussiones Mathematicae - General Algebra and Applications

2 Song S.-Z.

1 Hong S.-M.

1 Jun Y.-B.

1 Kim S.-J.

1 Park S.-R.

1 Yang S.-D.

1 2001

1 2000

Wyniki wyszukiwania

Maximal column rank preservers of fuzzy matrices

Linear operators preserving maximal column ranks of nonbinary boolean matrices