Maximal solutions of two-sided linear systems in max-min algebra

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F10%3A00002938" target="_blank" >RIV/62690094:18450/10:00002938 - isvavai.cz</a>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Maximal solutions of two-sided linear systems in max-min algebra

Popis výsledku v původním jazyce

Max-min algebra and its various aspects have been intensively studied by many authors because of its applicability to various areas, such as fuzzy system, knowledge management and others. Binary operations of addition and multiplication of real numbers used in classical linear algebra are replaced in max-min algebra by operations of maximum and minimum. We consider two-sided systems of max-min linear equations, with given coefficient matrices A and B. We present a polynomial method for finding maximal solutions to such systems, and also when only solutions with prescribed lower and upper bounds are sought.

Název v anglickém jazyce

Maximal solutions of two-sided linear systems in max-min algebra

Popis výsledku anglicky

Max-min algebra and its various aspects have been intensively studied by many authors because of its applicability to various areas, such as fuzzy system, knowledge management and others. Binary operations of addition and multiplication of real numbers used in classical linear algebra are replaced in max-min algebra by operations of maximum and minimum. We consider two-sided systems of max-min linear equations, with given coefficient matrices A and B. We present a polynomial method for finding maximal solutions to such systems, and also when only solutions with prescribed lower and upper bounds are sought.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GA402%2F09%2F0405" target="_blank" >GA402/09/0405: Rozvoj nestandardních optimalizačních metod a jejich aplikace v ekonomii a managementu</a><br>

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2010

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Kybernetika

ISSN

0023-5954

e-ISSN

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Svazek periodika

2010

Číslo periodika v rámci svazku

46

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

12

Strana od-do

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Kód UT WoS článku

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EID výsledku v databázi Scopus

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