| Title of paper:
|
Averaging of intuitionistic fuzzy differential equations
|
| Author(s):
|
| A. El Allaoui
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
| S. Melliani
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
| Y. Allaoui
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
| L. S. Chadli
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
|
| Presented at:
|
21st International Conference on Intuitionistic Fuzzy Sets, 22–23 May 2017, Burgas, Bulgaria
|
| Published in:
|
"Notes on IFS", Volume 23, 2017, Number 2, pages 44—54
|
| Download:
|
 PDF (157 Kb Kb, File info)
|
| Abstract:
|
In this paper, we shall prove and discuss averaging of intuitionistic fuzzy differential equations. The main results generalize previous ones in fuzzy sets theory.
|
| Keywords:
|
Intuitionistic fuzzy sets, Intuitionistic fuzzy differential equations
|
| AMS Classification:
|
03E72, 34A07.
|
| References:
|
- Atanassov K. T. (1983). Intuitionistic fuzzy sets, VII ITKR Session, Sofia, 20–23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1986). Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Atanassov, K. T., Vassilev, P. M., & Tsvetkov, R. T. (2013). Intuitionistic Fuzzy Sets, Measures and Integrals, Bulgarian Academic Monographs Series, Vol. 12, “Professor Marin Drinov” Academic Publishing House, Sofia.
- Ettoussi, R., Melliani, S., Elomari, M., & Chadli, L. S. (2015). Solution of intuitionistic fuzzy differential equations by successive approximations method, Notes on Intuitionistic Fuzzy Sets, 21(2), 51–62.
- Kaleva, O. (1990). The Cauchy problem for fuzzy differential equations, Fuzzy Sets and Systems, 35(3), 389–396.
- Kichmarenko, O. D., & Skripnik, N. V. (2008). Averaging of fuzzy differential equations with delay, Nonlinear Oscillations, 11(3), 331–344.
- Kichmarenko, O., & Skripnik, N. V. (2011). One scheme of averaging of fuzzy differential equations with maxima, J. Adv. Resear. Appl. Math, 3(1), 94–103.
- Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. . Extension of Hukuhara difference in intuitionistic fuzzy set theory, Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47.
- Melliani, S., Elomari, M., Ettoussi, R., & Chadli, L. S. (2015). Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
- Plotnikov, A. V., & Komleva, T. A. (2012). Averaging of the fuzzy differential equations, J. Uncertain Syst. 6(1), 30–37.
- Zadeh, L. A. (1965). Fuzzy sets, Information and Control, 8, 338–353.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
