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Fuzzy quantifiers defined over fuzzy domains

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F22%3AA230251B" target="_blank" >RIV/61988987:17610/22:A230251B - isvavai.cz</a>

  • Result on the web

    <a href="https://www.sciencedirect.com/science/article/pii/S0165011420304917" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0165011420304917</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2020.12.012" target="_blank" >10.1016/j.fss.2020.12.012</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Fuzzy quantifiers defined over fuzzy domains

  • Original language description

    In this paper, we introduce a generalization of the concept of fuzzy quantifier called fuzzy quantifier over fuzzy universes. The development of this generalization is motivated by the impossibility to satisfactorily define the important operation of relativization for standard fuzzy quantifiers. We provide basic examples of these quantifiers and define and investigate also several semantic properties of them. Finally, we prove a theorem saying, among other things, that all these two argument fuzzy quantifiers which possess properties of extension and conservativity are relativizations of one-argument fuzzy quantifiers of this kind.

  • 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

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/GA18-06915S" target="_blank" >GA18-06915S: New approaches to aggregation operators in analysis and processing of data</a><br>

  • Continuities

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

Others

  • Publication year

    2022

  • 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

  • Issue of the periodical within the volume

    15 březen 2022

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    31

  • Pages from-to

    39-69

  • UT code for WoS article

    000759790100002

  • EID of the result in the Scopus database

    2-s2.0-85098800978