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

Publish Year: 1402
Type: Journal paper
Language: English
View: 255

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Document National Code:

JR_IJFS-20-2_013

Index date: 9 April 2023

A note on uniform continuity of super-additive transformations of aggregation functions 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 8 (2019) 37--51, and Iranian J. Fuzzy Sets 17 (2020) 2, 165--168), we prove that uniform continuity of multi-dimensional aggregation functions is preserved under super-additive transformations.

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

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

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