Max-min interval systems of linear equations with bounded solution

Title:

Max-min interval systems of linear equations with bounded solution

Creator:

Myšková, Helena

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:a2c5846b-6374-4375-a20b-ac0a10f902d1
uuid:a2c5846b-6374-4375-a20b-ac0a10f902d1

Subject:

max-min algebra, interval system, T6-vector, weak T6 solvability, strong T6 solvability, T7-vector, weak T7 solvability, and strong T7 solvability

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Max-min algebra is an 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\kr\mbfx=\mbfb represents an interval system of linear equations, where \mbfA=[\pA,\nA], \mbfb=[\pb,\nb] are given interval matrix and interval vector, respectively, and a solution is from a given interval vector \mbfx=[\px,\nx]. We define six types of solvability of max-min interval systems with bounded solution and give necessary and sufficient conditions for them.

Language:

English

Rights:

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

Coverage:

[299]-308

Source:

Kybernetika | 2012 Volume:48 | Number:2

Harvested from:

CDK

Metadata only:

false