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Poset valued convexities
Názov Poset valued convexities Aut.údaje Vladimir Janiš ... [et al.] Autor Janiš Vladimír 1963- (90%) UMBFP10 - Katedra matematiky
Spoluautori Šešelja Branimir (5%)
Tepavčević Andreja (5%)
Zdroj.dok. Information sciences. Vol. 406-407, (2017), pp. 208-215. - New York : Elsevier Science Ltd., 2017 Kľúč.slová cuts poset valued mappings konvexnosť - convexity Jazyk dok. angličtina Krajina Spojené štáty Systematika 51 Anotácia We 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) Kategória publikačnej činnosti ADC Číslo archívnej kópie 39596 Katal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Báza dát xpca - PUBLIKAČNÁ ČINNOSŤ Odkazy PERIODIKÁ-Súborný záznam periodika 
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