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Title Properties of extremal families of MN-convex (MN-concave) functions Author info Urszula Bentkowska ... [et al.] Author Bentkowska Urszula (5%)
Co-authors Díaz Susana (5%)
Drewniak Józef (5%)
Janiš Vladimír 1963- (80%) UMBFP10 - Katedra matematiky
Montes Susana (5%)
Source document Fuzzy Sets and Systems : An International Journal in Information Science and Engineering. Vol. 325 (2017), pp. 47-57. - Amsterdam : Elsevier B.V., 2017 Keywords convex functions aggregation functions concave functions Language English Country Netherlands systematics 51 Annotation MN-convex and MN-concave functions are examined and compared for particular cases of M and N. Characteri- zation of pairs M,N for the family of MN-convex (MN-concave) functions consisting of all functions and partial characterization of pairs M,N for the family of MN-convex functions consisting of all constant functions will be presented. The condition of MN-convexity was proposed by Aumann in 1933. It was convexity with respect to arbitrary binary means M and N (abbreviated to MN-convexity). Recently many authors have considered this notion with suitable pairs of means. Here aggregation functions M,N will be used for this type of convexity and concavity Public work category ADC No. of Archival Copy 40468 Catal.org. BB301 - Univerzitná knižnica Univerzity Mateja Bela v Banskej Bystrici Database xpca - PUBLIKAČNÁ ČINNOSŤ References PERIODIKÁ-Súborný záznam periodika 
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