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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

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • 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

  • 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