A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

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LATA SNEH; KUMAR AMIT

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2013 | Volume:10 | Issue:4 Page(s): 19-39

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Information Journal Paper

Title

A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS

Author(s)

LATA SNEH | KUMAR AMIT | Issue Writer Certificate

Keywords

FUZZY DIFFERENTIAL EQUATIONSQ2

FUZZY KOLMOGOROV'S DIFFERENTIAL EQUATIONSQ2

LR FLAT FUZZY NUMBERQ2

JMD LR FLAT FUZZY NUMBERQ2

FUZZY RELIABILITYQ2

FUZZY MARKOV MODELQ2

PISTON MANUFACTURING SYSTEMQ2

Abstract

In the literature, several numerical methods are proposed for solving nth-order fuzzy linear differential equations. However, till now there are only two analytical methods for the same. In this paper, the FUZZY KOLMOGOROV'S DIFFERENTIAL EQUATIONS, obtained with the help of FUZZY MARKOV MODEL of PISTON MANUFACTURING SYSTEM, are solved by one of these analytical methods and illustrated that the obtained solution does not represent a fuzzy number. To resolve the drawback of existing method, a new analytical method is proposed for solving nth-order fuzzy linear differential equations. Furthermore, the advantage of proposed method over existing method is also discussed.

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APA: Copy

LATA, SNEH, & KUMAR, AMIT. (2013). A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS, 10(4), 19-39. SID. https://sid.ir/paper/113281/en

Vancouver: Copy

LATA SNEH, KUMAR AMIT. A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2013;10(4):19-39. Available from: https://sid.ir/paper/113281/en

IEEE: Copy

SNEH LATA, and AMIT KUMAR, “A NEW ANALYTICAL METHOD FOR SOLVING FUZZY DIFFERENTIAL EQUATIONS,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 10, no. 4, pp. 19–39, 2013, [Online]. Available: https://sid.ir/paper/113281/en

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