The Journal of the Indian Mathematical Society

Open Access Open Access  Restricted Access Subscription Access
Open Access Open Access Open Access  Restricted Access Restricted Access Subscription Access

Fuzzy Simpson's 3/8th Rule for Integration of Fuzzy Functions


Affiliations
  • M.V.Muthiah Government Arts College, Department of Mathematics, Dindigul, India
  • Government Arts College (Aut), Department of Mathematics, India
     

   Subscribe/Renew Journal


In this paper,we propose a fuzzy Simpson's 3/8th rule with positive coeffcient for solving fuzzy integral based on four equally spaced points. In this way a new direction for the numerical solution of fuzzy integral is suggested. This method is illustrated by solving some examples and comparison made with exact solution and are presented.

Keywords

Simpson's 3/8th Rule, Fuzzy Integral, Numerical Solution.
Subscription Login to verify subscription
User
Notifications
Font Size


  • N. Ahmady, A Fuzzy Newton-Cotes method for Integration of Fuzzy Functions, Journal of Fuzzy Set Valued Analysis, No. 2 (2015) 171-178.

  • T. Allahviranloo, Newton Cot's methods for integration of fuzzy functions, Applied Mathematics and Computation, 166 (2005) 339-348.

  • T. Allahviranloo, Romberg integration of fuzzy functions, Applied Mathematics and Computation, 168 (2005) 866-876.

  • T. Allahviranloo, N. Ahmady, E. Ahmady, Numerical solution of fuzzy di erential equa- tions by Predictor-Corrector method, Information Sciences, 177 (2007) 1633-1647.

  • B. Bede, S.G. Gal, Quadrature rules for integrals of Fuzzy-number-valued functions, Fuzzy Sets and Systems, 145 (2004) 359-380.

  • B. Ghazanfari, A. Shakerami, Numerical solutions of Fuzzy di erential equations by extended Runge-Kutta-like formulae of order-4, Fuzzy sets and systems, 189 (2012) 74-91.

  • O. Kaleva, Interpolation of Fuzzy data, Fuzzy Sets and Systems, 60 (1994) 63-70.

  • M.L. Puri, D. Ralescu, Fuzzy random variables, J. Math. Anal. Appl, 114 (1986) 409-422.

  • L.A. Zadeh, The concept of a linguistic variable and its application to approximate reasoning, Information Sciences, 8 (1975) 199-249.


Abstract Views: 297

PDF Views: 1




  • Fuzzy Simpson's 3/8th Rule for Integration of Fuzzy Functions

Abstract Views: 297  |  PDF Views: 1

Authors

T. Ramachandran
, India
R. Parimala
, India

Abstract


In this paper,we propose a fuzzy Simpson's 3/8th rule with positive coeffcient for solving fuzzy integral based on four equally spaced points. In this way a new direction for the numerical solution of fuzzy integral is suggested. This method is illustrated by solving some examples and comparison made with exact solution and are presented.

Keywords


Simpson's 3/8th Rule, Fuzzy Integral, Numerical Solution.

References