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Issue:Approximate solution of linear intuitionistic fuzzy Fredholm integral equations using block-pulse functions

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Title of paper: Approximate solution of linear intuitionistic fuzzy Fredholm integral equations using block-pulse functions
Author(s):
Bahman Ghazanfari     0000-0002-7232-5117
Department of Mathematics, Faculty of Science, Lorestan University, Khorramabad, 68151-44316, Iran
ghazanfari.ba@lu.ac.ir
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 1, pages 99–110
DOI: https://doi.org/10.7546/nifs.2025.31.1.99-110
Download:  PDF (195  Kb, File info)
Abstract: This paper focuses on obtaining approximate solutions for linear intuitionistic fuzzy Fredholm integral equations (LIFFIEs) using block-pulse functions. The convergence of the proposed method is discussed, and its efficiency and accuracy are demonstrated through several numerical examples.
Keywords: Intuitionistic fuzzy set, Block-pulse function, Intuitionistic fuzzy Fredholm integral equation.
AMS Classification: 45B05, 41A30, 03B52.
References:
  1. Amma, B., Melliani S., & Chadli, L. S. (2016). Numerical solution of intuitionistic fuzzy differential equations by Euler and Taylor methods. Notes on Intuitionistic Fuzzy Sets, 22(2), 71–86.
  2. Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulg.). Reprinted in: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
  3. Atanassov, K. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96.
  4. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer PhysicaVerlag, Berlin.
  5. Atanassov, K. (2018). On the two most extended modal types of operators defined over interval-valued intuitionistic fuzzy sets. Annals of Fuzzy Mathematics and Informatics, 16(1), 1–12.
  6. Cong-Xin, W., & Ming, M. (1991). On embedding problem of fuzzy number spaces: Part I. Fuzzy Sets and Systems, 44(1), 33–38.
  7. Goetschel, R. Jr., & Voxman, W. (1986). Elementary calculus. Fuzzy Sets and Systems, 18(1), 31–43.
  8. Jayalakshmi, P. J., Kural Arasan, M., & Chinnammal, K. (2019). Numerical solution of intuitionistic fuzzy differential equations by RK Fehlberg method. Advances and Applications in Mathematical Sciences, 18(11), 1295–1307.
  9. Jiang, Z., & Schaufelberger, W. (1992). Block Pulse Functions and Their Applications in Control Systems. Springer-Verlag, Berlin, Heidelberg.
  10. Mahapatra, G. S., & Roy, T. K. (2009). Reliability evaluation using triangular intuitionistic fuzzy numbers arithmetic operations. World Academy of Science, Engineering and Technology, Open Science Index 26, International Journal of Computer and Information Engineering, 3(2), 350–357.
  11. Melliani, S., & Chadli, L. S. (2000). Intuitionistic fuzzy differential equation. Part 1. Notes on Intuitionistic Fuzzy Sets, 6(2), 37–41.
  12. Melliani, S., Belhallaj, Z., Elomari, M., & Chadli, L. S. (2021). Approximate solution of intuitionistic fuzzy differential equations with the linear differential operator by the homotopy analysis method. Advances in Fuzzy Systems, 2021, Article ID 5579669.
  13. Parimala, V., Rajarajeswari, P., & Nirmala, V. (2017). Numerical solution of intuitionistic fuzzy differential equation by Milne’s predictor-corrector method under generalised differentiability. International Journal of Mathematics And its Applications, 5(1–A), 45–54.
  14. Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338–353.
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