Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra
The result's identifiers
Result code in 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>
Result on the web
<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>
Alternative languages
Result language
angličtina
Original language name
Solvability of a Bounded Parametric System in Max-Łukasiewicz Algebra
Original language description
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.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
<a href="/en/project/GA18-01246S" target="_blank" >GA18-01246S: Non-standard optimization and decision-making methods in management processes</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Mathematics
ISSN
2227-7390
e-ISSN
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Volume of the periodical
8
Issue of the periodical within the volume
6
Country of publishing house
CH - SWITZERLAND
Number of pages
16
Pages from-to
"Article number 1026"
UT code for WoS article
000554939800001
EID of the result in the Scopus database
2-s2.0-85087555380