UNIQUE SOLVABILITY OF MAX-MIN FUZZY EQUATIONS AND STRONG REGULARITY OF MATRICES OVER FUZZY ALGEBRA

Authors
CECHLAROVA K
Citation
K. Cechlarova, UNIQUE SOLVABILITY OF MAX-MIN FUZZY EQUATIONS AND STRONG REGULARITY OF MATRICES OVER FUZZY ALGEBRA, Fuzzy sets and systems, 75(2), 1995, pp. 165-177
Citations number
13
Categorie Soggetti
Computer Sciences, Special Topics","System Science",Mathematics,"Statistic & Probability",Mathematics,"Computer Science Theory & Methods
Journal title
Fuzzy sets and systems → ACNP
ISSN journal
01650114
Volume
75
Issue
2
Year of publication
1995
Pages
165 - 177
Database
ISI
SICI code
0165-0114(1995)75:2<165:USOMFE>2.0.ZU;2-1
Abstract
A matrix is said to have strongly linearly independent columns (or, in the case of square matrices, to be strongly regular) if for some vect or b the system A x x = b has a unique solution. We formulate a necess ary and sufficient condition for a linear system of equations over a f uzzy algebra to have a unique solution and prove the equivalence of st rong regularity and trapezoidal property. Moreover, an algorithm for t esting these properties is reviewed.