On an $\left( \iota ,x_{0}\right) $-Generalized Logistic-Type Function
Abstract
Keywords
References
- [1] J. Zhang, L. Yin and W. Cui, The monotonic properties of (p;a)-generalized sigmoid function with application, Pak. J. Statist., 35(2) (2019), 171-185. $\href{https://www.\mbox{Scopus}.com/record/display.uri?eid=2-s2.0-85073286109&origin=resultslist&sort=plf-f&src=s&sid=12738d0892cb91a336fec2f7d15edceb&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22The+monotonic+properties+of+%24%28p%2Ca%29%24-generalized+sigmoid+function+with+application%22%29&sl=55&sessionSearchId=12738d0892cb91a336fec2f7d15edceb&relpos=0}{[\mbox{Scopus}]}$
- [2] M.I. Jordan, Why the logistic function? A tutorial discussion on probabilities and neural networks, (1995).
- [3] R.M. Neal, Connectionist learning of belief networks, Artif. Intell., 56(1), 1992, 71-113. $\href{https://doi.org/10.1016/0004-3702(92)90065-6}{[\mbox{CrossRef}]} \href{https://www.\mbox{Scopus}.com/record/display.uri?eid=2-s2.0-44049116681&origin=resultslist&sort=plf-f&src=s&sid=12738d0892cb91a336fec2f7d15edceb&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Connectionist+learning+of+belief+networks%22%29&sl=55&sessionSearchId=12738d0892cb91a336fec2f7d15edceb&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:A1992JC65200003}{[\mbox{Web of Science}]}$
- [4] P. McCullagh and J. Nelder, Generalized Linear Models, Second Edition. Chapman & Hall., (1989), ISBN: 9780412317606. $\href{http://dx.doi.org/10.1007/978-1-4899-3242-6}{[\mbox{CrossRef}]}$
- [5] D. Yu, Softmax function based intuitionistic fuzzy multi-criteria decision making and applications, Oper. Res. Int. J., 16 (2016), 327-348. $\href{https://doi.org/10.1007/s12351-015-0196-7}{[\mbox{CrossRef}]} \href{https://www.\mbox{Scopus}.com/record/display.uri?eid=2-s2.0-84941369239&origin=resultslist&sort=plf-f&src=s&sid=12738d0892cb91a336fec2f7d15edceb&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Softmax+function+based+intuitionistic+fuzzy+multi-criteria+decision+making+and+applications%22%29&sl=55&sessionSearchId=12738d0892cb91a336fec2f7d15edceb&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000380151400010}{[\mbox{Web of Science}]} $
- [6] R. Torres, R. Salas and H. Astudillo, Time-based hesitant fuzzy information aggregation approach for decision making problems, Int. J. Intell. Syst., 29(6) (2014), 579-595. $\href{https://doi.org/10.1002/int.21658}{[\mbox{CrossRef}]} \href{https://www.\mbox{Scopus}.com/record/display.uri?eid=2-s2.0-84898965197&origin=resultslist&sort=plf-f&src=s&sid=12738d0892cb91a336fec2f7d15edceb&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Time-based+hesitant+fuzzy+information+aggregation+approach+for+decision+making+problems%22%29&sl=55&sessionSearchId=12738d0892cb91a336fec2f7d15edceb&relpos=0}{[\mbox{Scopus}]} \href{https://www.webofscience.com/wos/woscc/full-record/WOS:000334488400006}{[\mbox{Web of Science}]}$
- [7] I. Goodfellow, Y. Bengio and A. Courville, 6.2.2.3 Softmax Units for Multinoulli Output Distributions, Deep Learning. MIT Press., (2016), 180-184. ISBN 978-0-26203561-3.
- [8] G.A. Anastassiou, Banach Space Valued Multivariate Multi Layer Neural Network Approximation Based on q-Deformed and l-Parametrized A-Generalized Logistic Function. In: Parametrized, Deformed and General Neural Networks, Studies in Computational Intelligence, 1116. Springer, Cham., (2023), 365-394. $\href{https://doi.org/10.1007/978-3-031-43021-3_15}{[\mbox{CrossRef}]} \href{https://www.\mbox{Scopus}.com/record/display.uri?eid=2-s2.0-85175065590&origin=resultslist&sort=plf-f&src=s&sid=12738d0892cb91a336fec2f7d15edceb&sot=b&sdt=b&s=TITLE-ABS-KEY%28%22Banach+Space+Valued+Multivariate+Multi+Layer+Neural+Network+Approximation+Based+on%22%29&sl=55&sessionSearchId=12738d0892cb91a336fec2f7d15edceb&relpos=0}{[\mbox{Scopus}]}$
Details
Primary Language
English
Subjects
Symbolic Calculation, Mathematical Methods and Special Functions, Applied Mathematics (Other)
Journal Section
Research Article
Authors
Seda Karateke
*
0000-0003-1219-0115
Türkiye
Early Pub Date
March 29, 2024
Publication Date
March 31, 2024
Submission Date
January 22, 2024
Acceptance Date
March 4, 2024
Published in Issue
Year 2024 Volume: 7 Number: 1
Cited By
Some mathematical properties of flexible hyperbolic tangent activation function with application to deep neural networks
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
https://doi.org/10.1007/s13398-025-01710-7
