Fuzzy rank-preserving operators
type: Item
instance of: scholarly article
title: Fuzzy rank-preserving operators
zbMATH Open document ID: 0578.15002
DOI: 10.1016/0024-3795(86)90240-5
author: Norman J. Pullman
author: Leroy B. Beasley
published in: Linear Algebra and its Applications
publication date: 1986-01-01T00:00:00Z
review text: The authors study linear operators T on the set of \(n\times m\) fuzzy matrices and show that the following conditions are equivalent: (1) T preserves rank; (2) T preserves ranks 1 and 2; (3) T is UXV or \(UX^ TV\), U, V permutations; (4) T is bijective and preserves rank 1.
Mathematics Subject Classification ID: 15A04
Mathematics Subject Classification ID: 03E72
Mathematics Subject Classification ID: 20M20
zbMATH DE Number: 3925000
zbMATH Keywords: rank preserving
zbMATH Keywords: fuzzy matrices
reviewed by: Ki Hang Kim
MaRDI profile type: Publication
full work available at URL: 0024-3795(86)90240-5
OpenAlex ID: W2026137099
cites work: Boolean-rank-preserving operators and Boolean-rank-1 spaces
cites work: Nonnegative rank-preserving operators
cites work: Q3758977
cites work: Q3958592
cites work: Linear Transformations on Algebras of Matrices
cites work: Transformations on tensor product spaces
cites work: 𝑅-linear endomorphisms of (𝑅)_{𝑛} preserving invariants
description: scientific article; zbMATH DE number 3925000