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

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http://ifigenia.org/wiki/issue:nifs/22/3/70-79

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 IFS", 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: Zadeh, L. A. (1965) Fuzzy sets, Information Control, 8, 338–353. 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. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96. Atanasov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg. 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. Kaleva, O. (1987) Fuzzy differential equations, Fuzzy Sets and Systems, 24(3), 301–317. Buckley, J. J., & Feuring, T. (2001) Fuzzy initial problem for Nth-order linear differential equations, Fuzzy Sets and Systems, 121, 247–255. Buckley, J. J., Feuring, T., & Hayashi, Y. (2002) Linear systems of first order differential equations: fuzzy differential equations, Soft Computing, 6, 415–421. 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. 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. 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: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.