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A note on uniform continuity of super-additive transformations of aggregation functions | ||
Iranian Journal of Fuzzy Systems | ||
دوره 20، شماره 2، خرداد و تیر 2023، صفحه 167-171 اصل مقاله (131.79 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2023.7564 | ||
نویسندگان | ||
A. Siposova* ؛ J. Siran | ||
Department of Mathematics and descriptive Geometry, Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Aggregation function؛ sub-additive and super-additive transformation؛ uniform continuity | ||
مراجع | ||
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[4] F. Kouchakinejad, A. Sipoˇsov´a, J. ˇ Sir´aˇn, ˇ Aggregation functions with given super-additive and sub-additive transformations, International Journal of General Systems, 46(3) (2017), 225-234.
[5] R. Mesiar, A. Koles´arov´a, A. Stupˇnanov´a, Quo vadis aggregation?, International Journal General Systems, 47 (2018), 1-21.
[6] R. L. Pouso, Uniform continuity on unbounded intervals, International Journal of Mathematical Education in Science and Technology, 39(4) (2008), 551-557.
[7] A. Seliga, A. ˇ Sipoˇsov´a, J. ˇ Sir´aˇn, ˇ Lifting continuity properties of aggregation functions to their super- and sub-additive transformations, Journal of Mahani Mathematical Research Center, 8 (2019), 37-51. [8] A. Seliga, J. ˇ Sir´aˇn, ˇ Continuity of super- and sub-additive transformations of continuous functions, Iranian Journal of Fuzzy Sets, 17(2) (2020), 165-168.
[9] A. Sipoˇsov´a, ˇ A note on the superadditive and the subadditive transformations of aggregation functions, Fuzzy Sets and Systems, 299 (2016), 98-104. | ||
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