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Issue:Solution of system of first order linear differential equations in intuitionistic fuzzy environment

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Title of paper: Solution of system of first order linear differential equations in intuitionistic fuzzy environment
Author(s):
Neha Singhal
Department of Mathematics,Indian Institute of Technology Roorkee, Roorkee, India
nehasinghal.iitr@gmail.com
S. P. Sharma
Department of Mathematics,Indian Institute of Technology Roorkee, Roorkee, India
sspprfma@iitr.ac.in
Presented at: 20th International Conference on Intuitionistic Fuzzy Sets, 2–3 September 2016, Sofia, Bulgaria
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 22, 2016, Number 3, pages 70—79
Download:  PDF (132  Kb, File info)
Abstract: The purpose of this manuscript is to present a method for solving system of linear ordinary differential equations in intuitionistic fuzzy environment. In the present study, authors discussed method for getting Intuitionistic fuzzy solution of the system of differential equations with intuitionistic fuzzy coefficients and initial conditions. Present study finds industrial application to evaluate the availability of the system.
Keywords: Availability, Differential equation, Intuitionistic fuzzy number, Intuitionistic fuzzy solution, Markov model.
AMS Classification: 03E72, 90B25, 62N05, 60K20.
References:
  1. Zadeh, L. A. (1965) Fuzzy sets, Information Control, 8, 338–353.
  2. 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.
  3. Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
  4. Atanasov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
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  8. Buckley, J. J., Feuring, T., & Hayashi, Y. (2002) Linear systems of first order differential equations: fuzzy differential equations, Soft Computing, 6, 415–421.
  9. 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.
  10. Nirmala, V., & Pandian, S. C. (2015) Numerical Approach for Solving Intuitionistic Fuzzy Differential Equation under Generalised Differentiability Concept, Applied Mathematical Sciences, 9(67), 3337–3346.
  11. Lal, A. K., Kaur, M., & Lata, S. (2013) Behavioral study of piston manfacturing plant through stochastic models, Journal of Industrial Engineering International, 9(1), 1–10.
Citations:
  1. TUDU, SUKLAL, SHARIFUL ALAM, and TAPAN KUMAR ROY. "SOLUTION OF FIRST ORDER FUZZY DIFFERENTIAL EQUATION IN INTUITIONISTIC FUZZY ENVIRONMENT USING INVERSE LAPLACE TRANSFORM TECHNIQUE." International Journal of Mathematical Archive EISSN 2229-5046 9.1 (2018), pp. 204-209.

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