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Poset valued convexities

  1. TitlePoset valued convexities
    Author infoVladimir Janiš ... [et al.]
    Author Janiš Vladimír 1963- (90%) UMBFP10 - Katedra matematiky
    Co-authors Šešelja Branimir (5%)
    Tepavčević Andreja (5%)
    Source document Information sciences. Vol. 406-407, (2017), pp. 208-215. - New York : Elsevier Science Ltd., 2017
    Keywords cuts   poset valued mappings   konvexnosť - convexity  
    LanguageEnglish
    CountryUnited States of America
    systematics 51
    AnnotationWe analyze cut properties of lattice and poset valued functions (fuzzy sets) of n- dimensional real variable with respect to convexity. In the lattice valued case, convexity of a fuzzy set is equivalent with the convexity of its standard cuts. Dealing with non stan- dard cuts, we show that unless the space of the values is a chain, such statement in gen- eral does not hold. We present analogue results in the more general setting of poset valued functions. We also prove that there exist lattice and poset valued functions whose cuts are precisely the convex sets of particular families. Our work is motivated by possible applica- tions of convex functions (e.g., in image processing)
    Public work category ADC
    No. of Archival Copy39596
    Catal.org.BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici
    Databasexpca - PUBLIKAČNÁ ČINNOSŤ
    ReferencesPERIODIKÁ-Súborný záznam periodika
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