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Initial Value Problem of Second Order Intuitionistic Fuzzy Ordinary Differential Equations


Affiliations
1 Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
 

In this research paper, different cases of solution of the second order linear Intuitionistic Fuzzy Ordinary Differential Equations (IFODEs) are discussed. The initial conditions and the coefficients of differential equations are taken as the Generalized Trapezoidal Intuitionistic Fuzzy Numbers (GTrIFNs). The concept for finding the solution of second order linear homogeneous intuitionistic fuzzy ordinary differential equations is discussed in detail.


Keywords

Generalized Hukuhara Differentiability, Generalized Trapezoidal Intuitionistic Fuzzy Numbers.
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  • Zadeh LA. Fuzzy Sets. Information and Control. 1965; 8:338– 53. https://doi.org/10.1016/S0019-9958(65)90241-X
  • Atanassov K. Intuitionistic fuzzy sets. Fuzzy sets and Systems. 1986; 20:87–96. https://doi.org/10.1016/S0165-0114(86)80034-3
  • Mondal SP, Roy TK. Second order linear differential equations with generalized trapezoidal intuitionistic fuzzy boundary value. 2015; 4(2):115–29.
  • Mondal SP, Roy TK. Second order linear differential equations with generalized trapezoidal intuitionistic fuzzy boundary value. 2015; 4(2):115–29.
  • Kanagarajan K, Suresh R. Numerical solution of fuzzy differential equations under generalized differentiabil ity by Modified Euler method. International Journal of Mathematical Engineering and Science. 2014; 6(1):17–24.
  • Geetha SP, Kousika J. A notes on intuitionstic fuzzy differential equations. International Journal of Advanced Research in Basic Engineering Sciences and Technology (IJARBEST). 2018 Apr; 4(4):73–81.

Abstract Views: 373

PDF Views: 189




  • Initial Value Problem of Second Order Intuitionistic Fuzzy Ordinary Differential Equations

Abstract Views: 373  |  PDF Views: 189

Authors

S. P. Geetha
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India
K. K. Sangeetha
Department of Mathematics, Vellalar College for Women (Autonomous), Erode – 638012, Tamil Nadu, India

Abstract


In this research paper, different cases of solution of the second order linear Intuitionistic Fuzzy Ordinary Differential Equations (IFODEs) are discussed. The initial conditions and the coefficients of differential equations are taken as the Generalized Trapezoidal Intuitionistic Fuzzy Numbers (GTrIFNs). The concept for finding the solution of second order linear homogeneous intuitionistic fuzzy ordinary differential equations is discussed in detail.


Keywords


Generalized Hukuhara Differentiability, Generalized Trapezoidal Intuitionistic Fuzzy Numbers.

References





DOI: https://doi.org/10.15613/sijrs%2F2018%2Fv5i1%2F188670