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Variety theorem for algebras with fuzzy orders

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33160155" target="_blank" >RIV/61989592:15310/16:33160155 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0165011415005679" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011415005679</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2015.11.017" target="_blank" >10.1016/j.fss.2015.11.017</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Variety theorem for algebras with fuzzy orders

  • Original language description

    We present generalization of the Bloom variety theorem of ordered algebras in fuzzy setting. Algebras with fuzzy orders consist of sets of functions which are compatible with fuzzy orders. Fuzzy orders are defined on universe sets of algebras using complete residuated lattices as structures of degrees. In this setting, we show that classes of models of fuzzy sets of inequalities are closed under suitably defined formations of subalgebras, homomorphic images, and direct products. Conversely, we prove that classes having these closure properties are definable by fuzzy sets of inequalities

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    IN - Informatics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA14-11585S" target="_blank" >GA14-11585S: Relational Similarity-Based Databases</a><br>

  • Continuities

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

Others

  • Publication year

    2016

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    Fuzzy Sets and Systems

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    303

  • Issue of the periodical within the volume

    NOV

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    14

  • Pages from-to

    114-127

  • UT code for WoS article

    000384862600007

  • EID of the result in the Scopus database

    2-s2.0-84949255401