UTILIZING A NEW FEED-BACK FUZZY NEURAL NETWORK FOR SOLVING A SYSTEM OF FUZZY EQUATIONS

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JAFARIAN A.; MEASOOMY NIA S.

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Paper Information

Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2013 | Volume:5 | Issue:4 Page(s): 299-307

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Information Journal Paper

Title

UTILIZING A NEW FEED-BACK FUZZY NEURAL NETWORK FOR SOLVING A SYSTEM OF FUZZY EQUATIONS

Author(s)

JAFARIAN A. | MEASOOMY NIA S. | Issue Writer Certificate

Keywords

SYSTEM OF FUZZY EQUATIONSQ2

FUZZY FEED-BACK NEURAL NETWORK (FFNN)Q2

COST FUNCTIONQ2

LEARNING ALGORITHMQ2

Abstract

This paper intends to offer a new iterative method based on artificial neural networks for finding solution of a fuzzy equations system. Our proposed fuzzified neural network is a five-layer feed-back neural network that corresponding connection weights to output layer are fuzzy numbers. This architecture of artificial neural networks, can get a real input vector and calculates its corresponding fuzzy output. In order to find the approximate solution of the fuzzy system that supposedly has a real solution, first a COST FUNCTION is defined for the level sets of the fuzzy network and target output. Then a LEARNING ALGORITHM based on the gradient descent method is used to adjust the crisp input signals. The present method is illustrated by several examples with computer simulations.

Cites

ELECTROMAGNETISM-LIKE ALGORITHM FOR FUZZY FLOW SHOP BATCH PROCESSING MACHINES SCHEDULING TO MINIMIZE TOTAL WEIGHTED EARLINESS AND TARDINESS

References

A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS

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APA: Copy

JAFARIAN, A., & MEASOOMY NIA, S.. (2013). UTILIZING A NEW FEED-BACK FUZZY NEURAL NETWORK FOR SOLVING A SYSTEM OF FUZZY EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 5(4), 299-307. SID. https://sid.ir/paper/231779/en

Vancouver: Copy

JAFARIAN A., MEASOOMY NIA S.. UTILIZING A NEW FEED-BACK FUZZY NEURAL NETWORK FOR SOLVING A SYSTEM OF FUZZY EQUATIONS. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2013;5(4):299-307. Available from: https://sid.ir/paper/231779/en

IEEE: Copy

A. JAFARIAN, and S. MEASOOMY NIA, “UTILIZING A NEW FEED-BACK FUZZY NEURAL NETWORK FOR SOLVING A SYSTEM OF FUZZY EQUATIONS,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 5, no. 4, pp. 299–307, 2013, [Online]. Available: https://sid.ir/paper/231779/en

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