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Poset-valued preference relations
Title Poset-valued preference relations Author info Vladimír 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 Language English Country Czech Republic systematics 51 Annotation In 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 URL Link na plný text Public work category ADC No. of Archival Copy 34796 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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