NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY FUZZY NEURAL NETWORK

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MOSLEH MARYAM

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:4 Page(s): 281-297

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Information Journal Paper

Title

NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY FUZZY NEURAL NETWORK

Author(s)

MOSLEH MARYAM | Issue Writer Certificate

Keywords

FUZZY NEURAL NETWORKSQ2

FUZZY DIFFERENTIAL EQUATIONSQ2

FEED FORWARD NEURAL NETWORKQ2

LEARNING ALGORITHMQ2

Abstract

In this paper, We interpret a fuzzy differential equation by using the strongly generalized differentiability concept. Utilizing the Generalized characterization Theorem. Then a novel hybrid method based on LEARNING ALGORITHM of fuzzy neural network for the solution of differential equation with fuzzy initial value is presented. Here neural network is considered as a part of large field called neural computing or soft computing. The model finds the approximated solution of fuzzy differential equation inside of its domain for the close enough neighborhood of the fuzzy initial point. We propose a LEARNING ALGORITHM from the cost function for adjusting of fuzzy weights.

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APA: Copy

MOSLEH, MARYAM. (2013). NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY FUZZY NEURAL NETWORK. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(4), 281-297. SID. https://sid.ir/paper/231778/en

Vancouver: Copy

MOSLEH MARYAM. NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY FUZZY NEURAL NETWORK. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(4):281-297. Available from: https://sid.ir/paper/231778/en

IEEE: Copy

MARYAM MOSLEH, “NUMERICAL SOLUTION OF FUZZY DIFFERENTIAL EQUATIONS UNDER GENERALIZED DIFFERENTIABILITY BY FUZZY NEURAL NETWORK,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 4, pp. 281–297, 2013, [Online]. Available: https://sid.ir/paper/231778/en

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