Issue:The Cauchy problem for intuitionistic fuzzy differential equations

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Title of paper: The Cauchy problem for intuitionistic fuzzy differential equations Author(s): Bouchra Ben Amma Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco bouchrabenamma@gmail.com Said Melliani Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco s.melliani@yahoo.fr Lalla Saadia Chadli Laboratory of Applied Mathematics and Scientific Competing (LMACS), Sultan Moulay Slimane University, PO Box 523, 23000 Beni Mellal, Morocco sa.chadli@yahoo.fr Published in: Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 37–47 DOI: https://doi.org/10.7546/nifs.2018.24.1.37-47 Download:  PDF (186 Kb  Kb, File info) Abstract: In this paper we discuss the existence and uniqueness theorem of a solution of the cauchy problem of intuitionistic fuzzy differential equation. Keywords: Intuitionistic fuzzy differential equations, Approximate solutions, Existence, Uniqueness. AMS Classification: 03E72. References: Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96. Atanassov, K. (1994) Operators over interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 64(2), 159–174. De, S. K., Biswas, R., & Roy, A. R. (2001) An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117(2), 209–213. El Allaoui, A., Melliani, S., & Chadli, L.S. (2016) The Cauchy problem for complex intuitionistic fuzzy differential equations, Notes on Intuitionistic Fuzzy Sets, 22(4), 53–63. Kharal, A. (2009) Homeopathic drug selection using intuitionistic fuzzy sets, Homeopathy, 98(1), 35–39. Lakshmikantham, V., & Leela, S. (1969) Differential and Integral Inequalities, Vols. I and II, Academic Press, New York. Li, D.F. & Cheng, C. T. (2002) New similarity measures of intuitionistic fuzzy sets and application to pattern recognitions, Pattern Recognit. Lett., 23(1–3), 221–225. Li, D. F. (2005) Multiattribute decision making models and methods using intuitionistic fuzzy sets, J. Comput. Syst. Sci., 70, 73–85. Klement, E. P., Puri, M. L., & Ralescu, D. A. (1986) Limit Theorems for Fuzzy Random Variables, Proc. R. Soc. Lond. A, 407, 171–182. Melliani, S., & Chadli, L. S. (2000) Intuitionistic fuzzy differential equation. Part 1, Notes on Intuitionistic Fuzzy Sets, 6(2), 37–41. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy sets, 21(1), 43–53. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Intuitionistic fuzzy fractional equation, Notes on Intuitionistic Fuzzy Sets, 21(4), 76–89. Wu, C., & Song, S. (1996) Approximate Solutions, Existence, and Uniqueness of the Cauchy Problem of Fuzzy Differential Equations, Journal Of Mathematical Analysis And Applications, 202, 629–644. Zadeh, L. A. (1965) Fuzzy sets, Inf. Control, 8, 338–353. Citations: Issue:Solution of n-th order intuitionistic fuzzy differential equation by variational iteration method ‎ (← links) Issue:Intuitionistic fuzzy evolution problem with nonlocal conditions ‎ (← links) The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.