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   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
 
     
   
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