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T-norms and means on bounded lattices
Title T-norms and means on bounded lattices Author info Vladimír Kobza Author Kobza Vladimír 1988- (100%) UMBFP10 - Katedra matematiky
Source document The 4th International Symposium on Fuzzy Sets Uncertainty Modelling ISFS 2019 : abstracts. S. 13. - Rzesów : Wydawnictwo Uniwersytetu Rzeszowskiego, 2019 / Bentkowska Urszula ; Drygaś Paweł ; International Symposium on Fuzzy Sets Uncertainty Modelling Keywords matematika - mathematics trojuholníkové normy - triangular norms fuzzy logika - fuzzy logic matematické funkcie - mathematical functions Form. Descr. abstrakty - abstracts Language English Country Poland Annotation The triangular norms are very important topic due to wide spectrum of their applications in many practical problems. We focused on a generalization of t-norms from the unit interval into arbitrary bounded lattice. In this work we present a classication of t-norms on /small" lattices, i.e. lattices with up to six elements. In two particular sections we present our result for lattices with ve and six elements, respectively. In the future work we want to extend our theoretical approaches in order to estimate a number of t-norms on lattices with number of elements more than six as well as we want to study means as an another special class of aggregation functions, bounded by minimum and maximum, respectively. Public work category AFG No. of Archival Copy 47169 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ 
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