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On F-transforms, L-fuzzy partitions and L-fuzzy pretopological spaces

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F17%3AA1801PMU" target="_blank" >RIV/61988987:17610/17:A1801PMU - isvavai.cz</a>

  • Result on the web

    <a href="http://www.ele.uri.edu/ieee-ssci2017/FOCI.htm" target="_blank" >http://www.ele.uri.edu/ieee-ssci2017/FOCI.htm</a>

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    On F-transforms, L-fuzzy partitions and L-fuzzy pretopological spaces

  • Original language description

    In this paper, we discuss the relationship betweenthe direct lattice-based F-transform and L-fuzzy pretopology. The importance of fuzzy pretopological spaces follows from the fact that they are dense extensions of fuzzy topological spaces, and thecorresponding category contains both Top and the category PNeigh of probabilistic neighbourhood spaces. We show that every direct F#-transform uniquely determines an L-fuzzy pretopologyand discuss the opposite correspondence.In between, some categorical results have been established. Further, some new F-transform theoretic results are studied.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

  • Continuities

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

Others

  • Publication year

    2017

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    2017 IEEE Symposium Series on Computational Intelligence (SSCI) Proceedings

  • ISBN

    978-1-5386-2725-9

  • ISSN

  • e-ISSN

  • Number of pages

    8

  • Pages from-to

    154-161

  • Publisher name

    IEEE Serivice Center

  • Place of publication

    Piscataway, USA

  • Event location

    Honolulu, USA

  • Event date

    Nov 27, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article