This paper presents a practical algorithm for training neural networks with fuzzy number weights, inputs, and outputs. Typically, fuzzy number neural networks are di cult to train because of the many -cut constraints implied by the fuzzy weights. A transformation is used to eliminate these constrain
Fuzzy regression by fuzzy number neural networks
β Scribed by James P. Dunyak; Donald Wunsch
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 148 KB
- Volume
- 112
- Category
- Article
- ISSN
- 0165-0114
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β¦ Synopsis
In this paper, we describe a method for nonlinear fuzzy regression using neural network models. In earlier work, strong assumptions were made on the form of the fuzzy number parameters: symmetric triangular, asymmetric triangular, quadratic, trapezoidal, and so on. Our goal here is to substantially generalize both linear and nonlinear fuzzy regression using models with general fuzzy number inputs, weights, biases, and outputs. This is accomplished through a special training technique for fuzzy number neural networks. The technique is demonstrated with data from an industrial quality control problem.
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## a b s t r a c t In this paper, a novel hybrid method based on fuzzy neural network for approximate fuzzy coefficients (parameters) of fuzzy linear and nonlinear regression models with fuzzy output and crisp inputs, is presented. Here a neural network is considered as a part of a large field call
In this paper, ΓΏrst we explain several versions of fuzzy regression methods based on linear fuzzy models with symmetric triangular fuzzy coe cients. Next we point out some limitations of such fuzzy regression methods. Then we extend the symmetric triangular fuzzy coe cients to asymmetric triangular