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Divergence measures on intuitionistic fuzzy sets

  1. TitleDivergence measures on intuitionistic fuzzy sets
    Author infoVladimír Kobza
    Author Kobza Vladimír 1988- (100%) UMBFP10 - Katedra matematiky
    Source document Notes on intuitionistic fuzzy sets. Vol. 28, no. 4 (2022), pp. 413-427. - Sofia : Balgarska akademiya na naukite, 2022 ; International Intuitionistic Fuzzy Sets and Contemporary Mathematics Conference medzinárodná konferencia
    Keywords intuicionistické fuzzy množiny   fuzzy množiny - fuzzy sets   miera divergencie   entropia  
    Form. Descr.články - journal articles
    LanguageEnglish
    CountryBulgaria
    AnnotationThe basic study of fuzzy sets theory was introduced by Lotfi Zadeh in 1965. Many authors investigated possibilities how two fuzzy sets can be compared and the most common kind of measures used in the mathematical literature are dissimilarity measures. The previous approach to the dissimilarities is too restrictive, because the third axiom in the definition of dissimilarity measure assumes the inclusion relation between fuzzy sets. While there exist many pairs of fuzzy sets, which are incomparable to each other with respect to the inclusion relation. Therefore we need some new concept for measuring a difference between fuzzy sets so that it could be applied for arbitrary fuzzy sets. We focus on the special class of so called local divergences. In the next part we discuss the divergences defined on more general objects, namely intuitionistic fuzzy sets. In this case we define the local property modified to this object. We discuss also the relation of usual divergences between fuzzy sets to the divergences between intuitionistic fuzzy sets.
    URLLink na plný text
    Public work category AFC
    No. of Archival Copy52844
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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