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Pseudovarieties of algebras with fuzzy equalities

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F15%3A33155704" target="_blank" >RIV/61989592:15310/15:33155704 - isvavai.cz</a>

  • Result on the web

    <a href="http://www.sciencedirect.com/science/article/pii/S0165011414003352" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0165011414003352</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2014.07.014" target="_blank" >10.1016/j.fss.2014.07.014</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Pseudovarieties of algebras with fuzzy equalities

  • Original language description

    We establish analogy of the Eilenberg-Schutzenberger pseudovariety theorem in the setting of algebras with fuzzy equalities and Pavelka-style semantics using complete residuated lattices as structures of truth degrees. We show that under the assumption of countable reconstructibility, classes of finite algebras with fuzzy equalities closed under formations of subalgebras, homomorphic images, and finite direct products, are classes of finite algebras with fuzzy equalities which satisfy all but finitely many identities taken from fuzzy sets of identities which serve as graded equational theories. We also show that the assumption of countable reconstructibility is satisfied by model classes if one uses complete residuated lattices based on left-continuoustriangular norms as structures of truth degrees.

  • 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/GAP103%2F11%2F1456" target="_blank" >GAP103/11/1456: Foundations of Similarity-Based Data Processing</a><br>

  • Continuities

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

Others

  • Publication year

    2015

  • 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

    260

  • Issue of the periodical within the volume

    FEB

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    11

  • Pages from-to

    110-120

  • UT code for WoS article

    000345959500007

  • EID of the result in the Scopus database