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Lifting continuity properties of aggregation functions to their super- and sub-additive transformations | ||
| Journal of Mahani Mathematical Research | ||
| مقاله 1، دوره 8، شماره 2، بهمن 2019، صفحه 37-51 اصل مقاله (297.25 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2019.2451 | ||
| نویسندگان | ||
| Adam Seliga؛ Alexandra Siposova؛ Jozef Siran* | ||
| Faculty of Civil Engineering, Slovak University of Technology Radlinskeho 11, 810 05 Bratislava, Slovakia | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| aggregation function؛ super- and sub-additive transformations؛ continuity | ||
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آمار تعداد مشاهده مقاله: 241 تعداد دریافت فایل اصل مقاله: 245 |
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