IJPAM: Volume 45, No. 4 (2008)

CLASSIFICATION OF SOLUTIONS TO SYSTEMS OF
TWO-SIDED EQUATIONS WITH INTERVAL COEFFICIENTS

Martin Gavalec$^1$, Karel Zimmermann$^2$
$^1$University of Hradec Králové
Faculty of Informatics and Management
Rokitanského 62, Hradec Králové,. CZ-50003, CZECH REPUBLIC
$^1$e-mail: martin.gavalec@uhk.cz
$^2$Faculty of Mathematics and Physics
Charles University
Malostranské Námestí 25, Praha 1, CZ-11800, CZECH REPUBLIC
e-mail: karel.zimmermann@mff.cuni.cz


Abstract.The main purpose of the paper is to extend some results about one-sided systems of $(\max,+)$-linear equations with interval coefficients (i.e. systems with variables on one side of the equations only) from Cechlárová [2], Cechlárová et al [3] to a general class of two-sided systems (i.e. systems with variables on both sides of the equations). Basic concepts and definitions were motivated by Cechlárová [2], Cechlárová et al [3] and Rohn [7].

Received: February 12, 2008

AMS Subject Classification: 65G, 90B20

Key Words and Phrases: (max, plus) linear equations, two-sided equations, interval coefficients

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 45
Issue: 4