Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18450%2F20%3A50016974" target="_blank" >RIV/62690094:18450/20:50016974 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.mdpi.com/2227-7390/8/6/1026/htm" target="_blank" >https://www.mdpi.com/2227-7390/8/6/1026/htm</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/math8061026" target="_blank" >10.3390/math8061026</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

Popis výsledku v původním jazyce

The max-Lukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Lukasiewicz triangular norm. The behavior of such a system in time depends on the solvability of the corresponding bounded parametric max-linear system. The aim of this study is to describe an algorithm recognizing for which values of the parameter the given bounded parametric max-linear system has a solution---represented by an appropriate state of the fuzzy system in consideration. Necessary and sufficient conditions of the solvability have been found and a polynomial recognition algorithm has been described. The results are illustrated by numerical examples. The presented results can be also applied in the study of the max-Lukasiewicz systems with interval coefficients.

Název v anglickém jazyce

Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra

Popis výsledku anglicky

The max-Lukasiewicz algebra describes fuzzy systems working in discrete time which are based on two binary operations: the maximum and the Lukasiewicz triangular norm. The behavior of such a system in time depends on the solvability of the corresponding bounded parametric max-linear system. The aim of this study is to describe an algorithm recognizing for which values of the parameter the given bounded parametric max-linear system has a solution---represented by an appropriate state of the fuzzy system in consideration. Necessary and sufficient conditions of the solvability have been found and a polynomial recognition algorithm has been described. The results are illustrated by numerical examples. The presented results can be also applied in the study of the max-Lukasiewicz systems with interval coefficients.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA18-01246S" target="_blank" >GA18-01246S: Nestandardní optimalizační a rozhodovací metody v manažerských procesech</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Mathematics

ISSN

2227-7390

e-ISSN

—

Svazek periodika

8

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

16

Strana od-do

"Article number 1026"

Kód UT WoS článku

000554939800001

EID výsledku v databázi Scopus

2-s2.0-85087555380