Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations
In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is preserved by super-additive transformations in di...
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Shahid Bahonar University of Kerman
2022-11-01
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| Series: | Journal of Mahani Mathematical Research |
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| Online Access: | https://jmmrc.uk.ac.ir/article_3406_5ef30b8deec68589849b1b39f21207f4.pdf |
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| author | Fateme Kouchakinejad Alexandra Siposova |
| author_facet | Fateme Kouchakinejad Alexandra Siposova |
| author_sort | Fateme Kouchakinejad |
| collection | DOAJ |
| description | In an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is preserved by super-additive transformations in dimension 1. We give a shorter and more direct proof of this result and of a related linear bound on uniformly continuous aggregation functions. |
| format | Article |
| id | doaj-art-1228f282d4c84e31a096d8a21034bb6a |
| institution | DOAJ |
| issn | 2251-7952 2645-4505 |
| language | English |
| publishDate | 2022-11-01 |
| publisher | Shahid Bahonar University of Kerman |
| record_format | Article |
| series | Journal of Mahani Mathematical Research |
| spelling | doaj-art-1228f282d4c84e31a096d8a21034bb6a2025-08-20T02:43:43ZengShahid Bahonar University of KermanJournal of Mahani Mathematical Research2251-79522645-45052022-11-0111319119510.22103/jmmr.2022.19356.12373406Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformationsFateme Kouchakinejad0Alexandra Siposova1Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Keman, Kerman, IranFaculty of Civil Engineering, Slovak University of Technology, Bratislava, SlovakiaIn an earlier paper by Seliga, Siran and the second author (J. Mahani Math. Res. Center 8 (2019) 37–51) on lifting continuity properties of aggregation functions to their super- and sub-additive transformations it was shown that uniform continuity is preserved by super-additive transformations in dimension 1. We give a shorter and more direct proof of this result and of a related linear bound on uniformly continuous aggregation functions.https://jmmrc.uk.ac.ir/article_3406_5ef30b8deec68589849b1b39f21207f4.pdfaggregation functionsub-additive and super-additive transformationuniform continuity |
| spellingShingle | Fateme Kouchakinejad Alexandra Siposova Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations Journal of Mahani Mathematical Research aggregation function sub-additive and super-additive transformation uniform continuity |
| title | Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations |
| title_full | Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations |
| title_fullStr | Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations |
| title_full_unstemmed | Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations |
| title_short | Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations |
| title_sort | another look at inheritance of uniform continuity of 1 dimensional aggregation functions by their super additive transformations |
| topic | aggregation function sub-additive and super-additive transformation uniform continuity |
| url | https://jmmrc.uk.ac.ir/article_3406_5ef30b8deec68589849b1b39f21207f4.pdf |
| work_keys_str_mv | AT fatemekouchakinejad anotherlookatinheritanceofuniformcontinuityof1dimensionalaggregationfunctionsbytheirsuperadditivetransformations AT alexandrasiposova anotherlookatinheritanceofuniformcontinuityof1dimensionalaggregationfunctionsbytheirsuperadditivetransformations |