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Kouchakinejad, Fateme, Siposova, Alexandra. (1401). Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations. , 11(3), 191-195. doi: 10.22103/jmmr.2022.19356.1237
Fateme Kouchakinejad; Alexandra Siposova. "Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations". , 11, 3, 1401, 191-195. doi: 10.22103/jmmr.2022.19356.1237
Kouchakinejad, Fateme, Siposova, Alexandra. (1401). 'Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations', , 11(3), pp. 191-195. doi: 10.22103/jmmr.2022.19356.1237
Kouchakinejad, Fateme, Siposova, Alexandra. Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations. , 1401; 11(3): 191-195. doi: 10.22103/jmmr.2022.19356.1237

Another look at inheritance of uniform continuity of 1-dimensional aggregation functions by their super-additive transformations

Journal of Mahani Mathematical Research
دوره 11، شماره 3 - شماره پیاپی 23، بهمن 2022، صفحه 191-195    اصل مقاله (399.82 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22103/jmmr.2022.19356.1237
نویسندگان
Fateme Kouchakinejad* 1؛ Alexandra Siposova2
1Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Keman, Kerman, Iran
2Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Slovakia
چکیده
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.
کلیدواژه‌ها
aggregation function؛ sub-additive and super-additive transformation؛ uniform continuity
مراجع
[1] M. Grabisch, J. L. Marichal, R. Mesiar, E. Pap, Aggregation functions (Encyklopedia of mathematics and its applications), Cambridge University Press, 2009.

[2] S. Greco, R. Mesiar, F. Rindone, L. Sipeky, Superadditive and subadditive transformations of integrals and aggregation functions, Fuzzy Sets and Systems 291 (2016), 40{53.

[3] K. Hrinakova and A. Seliga, Remarks on super-additive and sub-additive transformations of aggregation functions, Tatra Mountains Math. Publ. 72 (2018), 55{66.

[4] F. Kouchakinejad, A. Siposova and J. Siran, Aggregation functions with given super-additive and sub-additive transformations, Intl. J. General Systems 46 (2017) 3, 225{234.

[5] R. Mesiar, A. Kolesarova and A. Stupnanova, Quo vadis aggregation? International Journal General Systems, 47 (2018), 1{21.

[6] R. L. Pouso, Uniform continuity on unbounded intervals, Int. J. Math. Educ. Sci. Tech. 39 (2008) 4, 551{557.

[7] A. Seliga, A. Siposova and J. Siran, Lifting continuity properties of aggregation functions to their super- and sub-additive transformations, Journal of Mahani Math. Res. Center 8 (2019) 37{51.

[8] A. Siposova, A note on the superadditive and the subadditive transformations of aggregation functions, Fuzzy Sets Syst. 299 (2016), 98{104.

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