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

Document Type : Research Paper

Authors

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

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.

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References

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Iranian Journal of Fuzzy Systems
Volume 20, Issue 2
March and April 2023
Pages 167-171

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