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Poset-valued preference relations

  1. TitlePoset-valued preference relations
    Author infoVladimír Janiš ... [et al.]
    Author Janiš Vladimír 1963- (50%) UMBFP10 - Katedra matematiky
    Co-authors Montes Susana (10%)
    Šešelja Branimir (20%)
    Tepavčevic Andreja (20%)
    Source document Kybernetika. Roč. 51, č. 5 (2015), s. 747-764. - Praha : Akademie věd České republiky, 2015
    Keywords preferenčné vzťahy   slabo ortogonálny poset   tranzitivita   preference relations   weakly orthogonal poset   transitivity  
    LanguageEnglish
    CountryCzech Republic
    systematics 51
    AnnotationIn decision processes some objects may not be comparable with respect to a preference re- lation, especially if several criteria are considered. To provide a model for such cases a poset valued preference relation is introduced as a fuzzy relation on a set of alternatives with mem- bership values in a partially ordered set. We analyze its properties and prove the representation theorem in terms of particular order reversing involution on the co-domain poset. We prove that for every set of alternatives there is a poset valued preference whose cut relations are all relations on this domain. We also deal with particular transitivity of such preferences
    URLLink na plný text
    Public work category ADC
    No. of Archival Copy34796
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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