A note on uniform continuity of super-additive transformations of aggregation functions

Publish Year: 1402
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-20-2_013

تاریخ نمایه سازی: 20 فروردین 1402

Abstract:

Extending and completing earlier results on lifting certain continuity properties of aggregation functions by super- and sub-additive transformations (J. Mahani Math. Res. Center ۸ (۲۰۱۹) ۳۷--۵۱, and Iranian J. Fuzzy Sets ۱۷ (۲۰۲۰) ۲, ۱۶۵--۱۶۸), we prove that uniform continuity of multi-dimensional aggregation functions is preserved under super-additive transformations.

Keywords:

aggregation function , sub-additive and super-additive transformation , uniform continuity

Authors

A. Siposova

Department of Mathematics and descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia

J.  Siran

Department of Mathematics and descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia