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Extensions of fuzzy relational compositions based on generalized quantifiers

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17610%2F18%3AA1901HBU" target="_blank" >RIV/61988987:17610/18:A1901HBU - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.fss.2017.04.009" target="_blank" >http://dx.doi.org/10.1016/j.fss.2017.04.009</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.fss.2017.04.009" target="_blank" >10.1016/j.fss.2017.04.009</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Extensions of fuzzy relational compositions based on generalized quantifiers

  • Original language description

    The aim of this paper is to extend the fuzzy relational compositions motivated by their applications to medical diagnosis problem byWillis Bandler and Ladislav Kohout. These compositions employ two quantifiers, the universal quantifier and the existentialquantifier. As there exists a big gap between these two quantifiers, that may be appropriately filled in by intermediate generalized quantifiers, we take this as a motivation for our study. In particular, we introduce the concept of fuzzy relationalcompositions based on generalized quantifiers. Furthermore, we show that the properties that are typically valid for standard fuzzy relational compositions are also valid for the compositions based on generalized quantifiers, yet sometimes in a weaken form. Apart fromfuzzy relational compositions, the use of generalized quantifiers is also applied to images and preimages of fuzzy sets under fuzzyrelations.

  • 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/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>

  • Continuities

    P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2018

  • Confidentiality

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

Data specific for result type

  • Name of the periodical

    FUZZY SET SYST

  • ISSN

    0165-0114

  • e-ISSN

  • Volume of the periodical

    339

  • Issue of the periodical within the volume

    15 May

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    26

  • Pages from-to

    73-98

  • UT code for WoS article

    000427500400006

  • EID of the result in the Scopus database

    2-s2.0-85018944152