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Fuzzy Relations and Fuzzy Functions in Fuzzy Partial Set Theory

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901N34" target="_blank" >RIV/61988987:17610/18:A1901N34 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1007/978-3-319-66830-7" target="_blank" >http://dx.doi.org/10.1007/978-3-319-66830-7</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1007/978-3-319-66830-7" target="_blank" >10.1007/978-3-319-66830-7</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy Relations and Fuzzy Functions in Fuzzy Partial Set Theory

  • Original language description

    In this paper, we will study partially-defined fuzzy relations i.e., fuzzy relations with membership functions that are not necessarily defined everywhere. We will handle them in a suitable framework that is a fuzzy partial set theory. It provides tools for dealing with undefined values of the membership by means of special operations based on the connectives and quantifiers of a background fuzzy logic. We analyse a suitability of operations of a fuzzy partial set theory for a meaningful definition of functionality property. This property determines fuzzy functions and we will be concerned with their properties.

  • 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/GA16-19170S" target="_blank" >GA16-19170S: Fuzzy Partial Logic</a><br>

  • Continuities

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

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Article name in the collection

    Advances in Intelligent Systems and Computing, vol. 641

  • ISBN

    978-3-319-66830-7

  • ISSN

    2194-5365

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    563-573

  • Publisher name

    Springer International Publishing

  • Place of publication

    Cham

  • Event location

    Warszawa

  • Event date

    Sep 11, 2017

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article

    000432315700050