ERROR ESTIMATION OF FUZZY NEWTON-COTES METHOD FOR INTEGRATION OF FUZZY FUNCTIONS

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AHMADY N.; AHMADY E.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2016 | Volume:8 | Issue:1 Page(s): 17-23

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Title

ERROR ESTIMATION OF FUZZY NEWTON-COTES METHOD FOR INTEGRATION OF FUZZY FUNCTIONS

Author(s)

AHMADY N. | AHMADY E. | Issue Writer Certificate

Keywords

FUZZY INTEGRATIONQ2

FUZZY NEWTON-COTES METHODQ2

FUZZY TRAPEZOIDAL'S RULEQ2

FUZZY SIMPSON'S RULEQ2

Abstract

Fuzzy Newton-Cotes method for integration of fuzzy functions that was proposed by Ahmady in [1]. In this paper we construct error estimate of FUZZY NEWTON-COTES METHOD such as fuzzy Trapezoidal rule and fuzzy Simpson rule by using Taylor's series. The corresponding error terms are proven by two theorems. We prove that the fuzzy Trapezoidal rule is accurate for fuzzy polynomial of degree one and fuzzy Simpson rule is accurate for polynomial of degree three. The accuracy of fuzzy Trapezoidal rule and fuzzy Simpson rule for integration of fuzzy functions are illustrated by two examples.

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APA: Copy

AHMADY, N., & AHMADY, E.. (2016). ERROR ESTIMATION OF FUZZY NEWTON-COTES METHOD FOR INTEGRATION OF FUZZY FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 8(1), 17-23. SID. https://sid.ir/paper/231720/en

Vancouver: Copy

AHMADY N., AHMADY E.. ERROR ESTIMATION OF FUZZY NEWTON-COTES METHOD FOR INTEGRATION OF FUZZY FUNCTIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2016;8(1):17-23. Available from: https://sid.ir/paper/231720/en

IEEE: Copy

N. AHMADY, and E. AHMADY, “ERROR ESTIMATION OF FUZZY NEWTON-COTES METHOD FOR INTEGRATION OF FUZZY FUNCTIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 8, no. 1, pp. 17–23, 2016, [Online]. Available: https://sid.ir/paper/231720/en

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