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Closure theories of powerset theories

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F15%3AA1601F4H" target="_blank" >RIV/61988987:17610/15:A1601F4H - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Closure theories of powerset theories

  • Original language description

    A notion of a closure theory of a powerset theory in a ground category is introduced as a generalization of a topology theory of a powerset the- ory. Using examples of powerset theories in the category Set of sets and in the category of sets with similarity relations, it is proved that these theories can be used as ground theories for closure theories of powerset theories in these two categories. Moreover, it is proved that all these clo- sure theories of powerset theories are topological constructs. Anotion of a closure operator which preserves a canonical form of fuzzy objects in these categories is introduced, and it is proved that a closure theory of a powerset theory in the ground category Set is a core ective subcategory of the closure theory of(Zadeh's) powerset theory, which preserves canonical forms of fuzzy sets.

  • Czech name

  • Czech description

Classification

  • Type

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

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    O - Projekt operacniho programu

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

    Tatra Mountains Mathematical Publications

  • ISSN

    1210-3195

  • e-ISSN

  • Volume of the periodical

    64

  • Issue of the periodical within the volume

    1

  • Country of publishing house

    SK - SLOVAKIA

  • Number of pages

    25

  • Pages from-to

    101-126

  • UT code for WoS article

  • EID of the result in the Scopus database