Implementation of Multi-valued Logic Based on Bi-threshold Neural Networks

  • Authors:
  • Qiuxiang Deng;Zhigang Zeng

  • Affiliations:
  • School of Automation, Wuhan University of Technology, Wuhan, Hubei, 430070, China;School of Automation, Wuhan University of Technology, Wuhan, Hubei, 430070, China

  • Venue:
  • ISNN '07 Proceedings of the 4th international symposium on Neural Networks: Part II--Advances in Neural Networks
  • Year:
  • 2007

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Abstract

The implementation of multi-valued logic with a three layers forward neural network is proposed. The hidden layer is constituted by bi-threshold neurons compared with traditional simple threshold neurons. According to the obtained results in this paper, if a perception with a simple threshold neuron is used in the output layer, then the logical map of {0,1, 茂戮驴 ,n} to {0,1} can be gained. In addition, if a linear neuron is used in the output layer, then the logical map of {0,1, 茂戮驴 ,n} to {0,1, 茂戮驴 ,m} can be obtained. The arithmetic, which is used to design the three layers forward neural network, improves on the traditional digital logic of two values. An example shows that the designable procedure of the network is simple and effective.