A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION

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SEDAGHATFAR O.; DARABI P.; MOLOUDZADEH S.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:3 Page(s): 251-257

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Information Journal Paper

Title

A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION

Author(s)

SEDAGHATFAR O. | DARABI P. | MOLOUDZADEH S. | Issue Writer Certificate

Keywords

FUZZY DIFFERENTIAL EQUATION (FDE)Q2

INTERVAL DIFFERENTIAL EQUATIONQ2

STRONGLY GENERALIZED H-DIFFERENTIABILITYQ2

Abstract

In this paper, a new approach for solving first-order fuzzy differential equation (FDE) with fuzzy initial value under STRONGLY GENERALIZED H-DIFFERENTIABILITY is considered. The idea of the presented approach is constructed based on the extending 0-cut and 1-cut solution of original FDE. First, under H-differentiability the solutions of fuzzy differential equations in 0-cut and 1-cut cases are found and convex combination of them, is considered. Then we choose the initial interval that 0-cut of original problem is positive. The obtained convex combination on this interval is the solution of FDE.

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APA: Copy

SEDAGHATFAR, O., DARABI, P., & MOLOUDZADEH, S.. (2013). A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(3), 251-257. SID. https://sid.ir/paper/231737/en

Vancouver: Copy

SEDAGHATFAR O., DARABI P., MOLOUDZADEH S.. A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(3):251-257. Available from: https://sid.ir/paper/231737/en

IEEE: Copy

O. SEDAGHATFAR, P. DARABI, and S. MOLOUDZADEH, “A METHOD FOR SOLVING FIRST ORDER FUZZY DIFFERENTIAL EQUATION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 3, pp. 251–257, 2013, [Online]. Available: https://sid.ir/paper/231737/en

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