|
|
Lifting Continuity Properties of Aggregation Functions To Their Super- and Sub-Additive Transformations
|
|
|
|
|
نویسنده
|
Seliga Adam ,Siposova Alexandra ,Siran Jozef
|
منبع
|
Journal Of Mahani Mathematical Research - 2019 - دوره : 8 - شماره : 2 - صفحه:37 -51
|
|
|
چکیده
|
We investigate possible extensions of various types of continuity of aggregation functions to their super- and sub-additive transformations. more specifically, we examine lifts of classical, uniform, lipschitz and holder continuities and differentiability. 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 differentiability are not.
|
کلیدواژه
|
Aggregation Function ,Super- And Sub-Additive Transformations ,Continuity
|
آدرس
|
Slovak University Of TechnologyRadlinskeho 11, Faculty Of Civil Engineering, Slovakia, Slovak University Of TechnologyRadlinskeho 11, Faculty Of Civil Engineering, Slovakia, Slovak University Of TechnologyRadlinskeho 11, Faculty Of Civil Engineering, Slovakia
|
پست الکترونیکی
|
sirang@math.sk
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|