We investigate possible extensions of various types of continuity of aggregation functions to their super- and sub-additive transformations. More speci cally, we examine lifts of classical, uniform, Lipschitz and Holder continuities and di erentiability. The classical, uniform, and Lipschitz continuities turn out to be preserved by super- and sub-additive transformations (albeit for uniform continuity and the super-additive case we prove it only in dimension one), while the Holder continuity and di erentiability are not.
Seliga, A., Siposova, A., & Siran, J. (2019). Lifting continuity properties of aggregation functions to their super- and sub-additive transformations. Journal of Mahani Mathematical Research, 8(2), 37-51. doi: 10.22103/jmmrc.2019.2451
MLA
Adam Seliga; Alexandra Siposova; Jozef Siran. "Lifting continuity properties of aggregation functions to their super- and sub-additive transformations". Journal of Mahani Mathematical Research, 8, 2, 2019, 37-51. doi: 10.22103/jmmrc.2019.2451
HARVARD
Seliga, A., Siposova, A., Siran, J. (2019). 'Lifting continuity properties of aggregation functions to their super- and sub-additive transformations', Journal of Mahani Mathematical Research, 8(2), pp. 37-51. doi: 10.22103/jmmrc.2019.2451
VANCOUVER
Seliga, A., Siposova, A., Siran, J. Lifting continuity properties of aggregation functions to their super- and sub-additive transformations. Journal of Mahani Mathematical Research, 2019; 8(2): 37-51. doi: 10.22103/jmmrc.2019.2451
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