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Issue:Differential equation with intuitionistic fuzzy parameters

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http://ifigenia.org/wiki/issue:nifs/23/4/31-41
Title of paper: Differential equation with intuitionistic fuzzy parameters
Author(s):
R. Ettoussi
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Said Melliani
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
said.melliani@gmail.com
L. S. Chadli
Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
Published in: "Notes on IFS", Volume 23, 2017, Number 4, pages 46—61
Download:  PDF (157 Kb  Kb, File info)
Abstract: In this paper, we study differentiability and integrability properties of intuitionistic fuzzy-set-valued mappings and we discuss the existence and uniqueness of solution for differential equations with intuitionistic fuzzy data using the theorem of fixed point in the complete metric space. Then by method of α-cuts we explicit the solution in an example.
Keywords: Differentiability, Integrability, Intuitionistic fuzzy differential equations, Intuitionistic fuzzy solution.
AMS Classification: 03E72.
References:
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  11. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi R. (2015) Intuitionistic fuzzy metric space, Notes on Intuitionistic Fuzzy Sets, 21(1), 43–53.
  12. Melliani, S., Elomari, M., Chadli, L. S., & Ettoussi, R. (2015) Extension of Hukuhara difference in intuitionistic fuzzy theory, Notes on Intuitionistic Fuzzy Sets, 21(4), 34–47.
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