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Ideals and involutive filters in generalizations of fuzzy structures

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27510%2F17%3A10237646" target="_blank" >RIV/61989100:27510/17:10237646 - isvavai.cz</a>

  • Alternative codes found

    RIV/61989592:15310/17:73583917

  • Result on the web

    <a href="https://www.sciencedirect.com/journal/fuzzy-sets-and-systems/vol/311/suppl/C" target="_blank" >https://www.sciencedirect.com/journal/fuzzy-sets-and-systems/vol/311/suppl/C</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2016.03.004" target="_blank" >10.1016/j.fss.2016.03.004</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Ideals and involutive filters in generalizations of fuzzy structures

  • Original language description

    (Bounded integral) residuated lattices (which need not be commutative) form a large class of algebras containing some classes of algebras behind many-valued and fuzzy logics. Congruences of such algebras are usually defined and investigated by means of their normal filters. In the paper we introduce and investigate ideals of residuated lattices. We show that one can define, in some cases, congruences also using ideals and that the corresponding quotient residuated lattices are involutive.

  • 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/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraic methods in Quantum Logic</a><br>

  • Continuities

    V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Others

  • Publication year

    2017

  • 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

    311

  • Issue of the periodical within the volume

    15. 3. 2017

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    16

  • Pages from-to

    70-85

  • UT code for WoS article

    000393242000005

  • EID of the result in the Scopus database

    2-s2.0-84961267019