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Poset valued convexities
Title Poset valued convexities Author info Vladimir 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 Language English Country United States of America systematics 51 Annotation 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) Public work category ADC No. of Archival Copy 39596 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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