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

Jump To References Section

Authors

  • ,IN
  • ,IN

DOI:

https://doi.org/10.18311/jims/2017/6617

Keywords:

Simpson's 3/8th Rule, fuzzy Integral, Numerical Solution
Mathematical Logic & Foundation

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.

Downloads

Download data is not yet available.

Metrics

Metrics Loading ...

Published

2017-01-02

How to Cite

Ramachandran, T., & Parimala, R. (2017). Fuzzy Simpson’s 3/8<sup>th</sup> Rule for Integration of Fuzzy Functions. The Journal of the Indian Mathematical Society, 84(1-2), 81–89. https://doi.org/10.18311/jims/2017/6617
Received 2016-06-29
Accepted 2016-06-30
Published 2017-01-02

 

References

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.