An iterative algorithm for testing solvability of max-min interval systems

Title:

An iterative algorithm for testing solvability of max-min interval systems

Creator:

Myšková, Helena

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:45a48307-fab7-4ed7-8198-444397135b9a
uuid:45a48307-fab7-4ed7-8198-444397135b9a

Subject:

max-min algebra, interval system, T4-vector, T4 solvability, T5-vector, and T5 solvability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is dealing with solvability of interval systems of linear equations in max-min algebra. Max-min algebra is the algebraic structure in which classical addition and multiplication are replaced by ⊕ and \kr, where a⊕b=max{a,b},a\krb=min{a,b}. The notation \mbfA\krx=\mbfb represents an interval system of linear equations, where \mbfA=[\pA,\nA] and \mbfb=[\pb,\nb] are given interval matrix and interval vector, respectively. We can define several types of solvability of interval systems. In this paper, we define the T4 and T5 solvability and give necessary and sufficient conditions for them.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[879]-889

Source:

Kybernetika | 2012 Volume:48 | Number:5

Harvested from:

CDK

Metadata only:

false