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Fuzzy Neural Petri Nets

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4492))

Abstract

Fuzzy Petri net (FPN) is a powerful modeling tool for fuzzy production rules based knowledge systems. But it is lack of learning mechanism, which is the main weakness while modeling uncertain knowledge systems. Fuzzy neural Petri net (FNPN) is proposed in this paper, in which fuzzy neuron components are introduced into FPN as a sub-net model of FNPN. For neuron components in FNPN, back propagation (BP) learning algorithm of neural network is introduced. And the parameters of fuzzy production rules in FNPN neurons can be learnt and trained by this means. At the same time, different neurons on different layers can be learnt and trained independently. The FNPN proposed in this paper is meaningful for Petri net models and fuzzy systems.

This work is jointly supported by the National Nature Science Foundation (Grant No: 60405011, 60575057) and China Postdoctoral Science Fund (Grant No: 20040350078).

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References

  1. Murata, T.: Petri Nets: Properties, Analysis and Applications. Proceedings of IEEE 77, 541–580 (1989)

    Article  Google Scholar 

  2. Peterson, J.L.: Petri Net Theory and the Modeling of Systems. Prentice-Hall, Englewood Cliffs (1991)

    Google Scholar 

  3. Pedrycz, W., Gomide, F.: A Generalized Fuzzy Petri Net Model. IEEE Trans. Fuzzy Ststems 2, 295–301 (1994)

    Article  Google Scholar 

  4. Pedrycz, W., Camargo, H.: Fuzzy Timed Petri Nets. Fuzzy Sets and Systems 140, 301–330 (2003)

    Article  MATH  MathSciNet  Google Scholar 

  5. Scarpelli, H., Gomide, F., Yager, R.: A Reasoning Algorithm for High Level Fuzzy Petri Nets. IEEE Trans. Fuzzy Systems 4, 282–293 (1996)

    Article  Google Scholar 

  6. Manoj, T.V., Leena, J., Soney, R.B.: Knowledge Representation Using Fuzzy Petri Nets-revisited. IEEE Transactions on Knowledge and Data Engineering 10(4), 666–667 (1998)

    Article  Google Scholar 

  7. Jong, W., Shiau, Y., Horng, Y., Chen, H., Chen, S.: Temporal Knowledge Representation and ReasoningTechniques Using Ttime Petri Nets. IEEE Transactions on Systems, Man and Cybernetics, Part B 29(4), 541–545 (1999)

    Article  Google Scholar 

  8. Zhao, G., Zheng, H., Wang, J., Li, T.: Petri-net-based Coordination Motion Control for Legged Robot. In: IEEE International Conference on Systems, Man and Cybernetics, vol. 1, pp. 581–586 (2003)

    Google Scholar 

  9. Tang, R., Pang, G.K.H., Woo, S.S.: A Continuous Fuzzy Petri Net Tool for Intelligent Process Monitoring and Control. IEEE Transactions on Control Systems Technology 3(3), 318–329 (1995)

    Article  Google Scholar 

  10. Szücs, A., Gerzson, M., Hangos, K.M.: An Intelligent Diagnostic System Based on Petri Nets. Computers & Chemical Engineering 22(9), 1335–1344 (1998)

    Article  Google Scholar 

  11. Han, Y., Jiang, C., Luo, X.: Resource Scheduling Model for Grid Computing Based on Sharing Synthesis of Petri Net. In: Proceedings of the Ninth International Conference on Computer Supported Cooperative Work in Design, vol. 1, pp. 367–372 (2005)

    Google Scholar 

  12. Wang, J., Jin, C., Deng, Y.: Performance Analysis of Traffic Networks Based on Stochastic Timed Petri Net Models. In: Fifth IEEE International Conference on Engineering of Complex Computer Systems, ICECCS ’99, pp. 77–85 (1999)

    Google Scholar 

  13. Wang, J., Deng, Y., Zhou, M.: Compositional Time Petri Nets and Reduction Rules. IEEE Transactions on Systems, Man and Cybernetics, Part B 30(4), 562–572 (2000)

    Article  Google Scholar 

  14. Gallant, S.: Neural Network Learning and ExpertSystems. MIT Press, Cambridge (1993)

    Google Scholar 

  15. Xu, H., Jia, P.: Timed Hierarchical Object-Oriented Petri Net-Part I: Basic Concepts and Reachability Analysis. In: Wang, G.-Y., Peters, J.F., Skowron, A., Yao, Y. (eds.) RSKT 2006. LNCS (LNAI), vol. 4062, pp. 727–734. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

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Derong Liu Shumin Fei Zengguang Hou Huaguang Zhang Changyin Sun

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© 2007 Springer Berlin Heidelberg

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Xu, H., Wang, Y., Jia, P. (2007). Fuzzy Neural Petri Nets. In: Liu, D., Fei, S., Hou, Z., Zhang, H., Sun, C. (eds) Advances in Neural Networks – ISNN 2007. ISNN 2007. Lecture Notes in Computer Science, vol 4492. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72393-6_40

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  • DOI: https://doi.org/10.1007/978-3-540-72393-6_40

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72392-9

  • Online ISBN: 978-3-540-72393-6

  • eBook Packages: Computer ScienceComputer Science (R0)

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