Nazanin Ahmady - Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran
Elham Ahmady - Department of Mathematics, Shahr Qods Branch, Islamic Azad University, Tehran, Iran

In this paper, a fuzzy Simpsons rule for integration of fuzzy function is proposed. Fuzzy Simpsons rule is a Newton-cotes formula for approximating the integral of a fuzzy function using quadratic Polynomials, fuzzy Simpson rule can be derived by integration a third-order fuzzy Lagrange interpolating Polynomial fit to the fuzzy function at three equally spaced points. The Proposed algorithms is illustrated by solving numerical example.

Fuzzy integration, fuzzy Newton-Cotes method, Fuzzy Simpson’s rule