Skip to main content

Distributed Modeling of Abduction, Reciprocity, and Duality by Fuzzy Petri Nets

  • Chapter
  • 655 Accesses

Part of the book series: Advanced Information and Knowledge Processing ((AI&KP))

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Bugarin, A. J., and Barro, S., “Fuzzy reasoning supported by Petri nets,” IEEE Trans. on Fuzzy Systems, vol. 2, no. 2, pp. 135–150, 1999.

    Article  Google Scholar 

  2. Buchanan, B. G. and Shortliffe, E. H., Rule Based Expert Systems: The MYCIN Experiment of the Stanford University, Addison-Wesley, Reading, MA, 1989.

    Google Scholar 

  3. Cao, T. and Sanderson, A. C., “A fuzzy Petri net approach to reasoning about uncertainty in robotic systems,” Proc. IEEE Int. Conf. Robotics and Automation, Atlanta, GA, pp. 317–322, May 1993.

    Google Scholar 

  4. Cao, T., “Variable reasoning and analysis about uncertainty with fuzzy Petri nets,” Lecture Notes in Computer Science, vol. 691, Marson, M. A. (Ed.), Springer-Verlag, New York, pp. 126–145, 1993.

    Google Scholar 

  5. Cao, T. and Sanderson, A. C., “Task sequence planning using fuzzy Petri nets,” IEEE Trans. on Systems, Man and Cybernetics, vol. 25, no.5, pp. 755–769, May 1995.

    Article  Google Scholar 

  6. Cardoso, J., Valette, R., and Dubois, D., “Petri nets with uncertain markings,” In Advances in Petri Nets, Lecture Notes in Computer Science, Rozenberg, G. (Ed.), vol. 483, Springer-Verlag, New York, pp. 65–78, 1990.

    Google Scholar 

  7. Chen, S. M., “Fuzzy backward reasoning using fuzzy Petri nets,” IEEE Trans. on Systems, Man and Cybernetics, Part B: Cybernetics, vol. 30, no. 6, 2000.

    Google Scholar 

  8. Daltrini, A., “Modeling and knowledge processing based on the extended fuzzy Petri nets,” M.Sc. degree book, UNICAMP-FEE0DCA, May 1993.

    Google Scholar 

  9. Doyle, J., “Truth maintenance systems,” Artificial Intelligence, vol. 12, 1979.

    Google Scholar 

  10. Garg, M. L., Ashon, S. I., and Gupta, P. V., “A fuzzy Petri net for knowledge representation and reasoning,” Information Processing Letters, vol. 39, pp. 165–171, 1991.

    Article  MATH  MathSciNet  Google Scholar 

  11. Graham, I. and Jones, P. L., Expert Systems: Knowledge, Uncertainty and Decision, Chapman and Hall, London, 1988.

    Google Scholar 

  12. Hirota, K. and Pedrycz, W., “OR-AND neuron in modeling fuzzy set connectives,” IEEE Trans. on Fuzzy Systems, vol. 2, no. 2, May 1999.

    Google Scholar 

  13. Hutchinson, S. A. and Kak, A. C., “Planning sensing strategies in a robot workcell with multisensor capabilities,” IEEE Trans. Robotics and Automation, vol. 5, no. 6, pp. 765–783, 1989.

    Article  Google Scholar 

  14. Jackson, P., Introduction to Expert Systems, Addison-Wesley, Reading, MA, 1988.

    Google Scholar 

  15. Konar, A. and Mandal, A. K., “Uncertainty management in expert systems using fuzzy Petri nets,” IEEE Trans. on Knowledge and Data Engineering, vol. 8, no. 1, pp. 96–105, February 1996.

    Article  Google Scholar 

  16. Konar, A., Building an Intelligent Decision Support System for Investigation, Report no. 1/2001/ETCE/J.U., submitted to All India Council for Technical Education as the completion report for the Career Award for Young Teachers, 2001.

    Google Scholar 

  17. Konar, A. and Mandal, A. K., “Non-monotonic reasoning in expert systems using fuzzy Petri nets,” Advances in Modeling and Analysis, B, AMSE Press, vol. 23, no. 1, pp. 51–63, 1992.

    Google Scholar 

  18. Konar, A., Artificial Intelligence and Soft Computing: Behavioral and Cognitive Modeling of the Human Brain, CRC Press, Boca Raton, FL, 1999.

    Google Scholar 

  19. Konar, A., “Uncertainty Management in Expert System Using Fuzzy Petri Nets,” Ph. D. dissertation, Jadavpur University, India, 1999.

    Google Scholar 

  20. Konar, A. and Pal, S., “Modeling cognition with fuzzy neural nets,” In Fuzzy Theory Systems: Techniques and Applications, Leondes, C. T. (Ed.), Academic Press, New York, 1999.

    Google Scholar 

  21. Kosko, B., Neural Networks and Fuzzy Systems, Prentice-Hall, Englewood Cliffs, NJ, 1999.

    Google Scholar 

  22. Lipp, H. P. and Gunther, G., “A fuzzy Petri net concept for complex decision making process in production control,” In Proc. of First European Congress on Fuzzy and Intelligent Technology (EUFIT’ 93), Aachen, Germany, vol. I, pp. 290–294, 1993.

    Google Scholar 

  23. Looney, C. G., “Fuzzy Petri nets for rule-based decision making,” IEEE Trans. on Systems, Man, and Cybernetics, vol. 18, no. 1, pp. 178–183, 1988.

    Article  Google Scholar 

  24. McDermott, V. and Doyle, J., “Non-monotonic logic I,” Artificial Intelligence, vol. 13(1–2), pp. 41–72, 1980.

    Article  MATH  MathSciNet  Google Scholar 

  25. Murata, T., “Petri nets: properties, analysis and applications,” Proceedings of the IEEE, vol. 77, no. 4, pp. 541–580, 1989.

    Article  Google Scholar 

  26. Pal, S. and Konar, A., “Cognitive reasoning using fuzzy neural nets,” IEEE Trans. on Systems, Man and Cybernetics, August 1996.

    Google Scholar 

  27. Pearl, J., “Distributed revision of composite beliefs,” Artificial Intelligence, vol. 33, 1987.

    Google Scholar 

  28. Pedrycz, W. and Gomide, F., “A generalized fuzzy Petri net model,” IEEE Trans. on Fuzzy Systems, vol. 2, no. 4, pp. 295–301, Nov. 1999.

    Article  Google Scholar 

  29. Pedrycz, W, Fuzzy Sets Engineering, CRC Press, Boca Raton, FL, 1995.

    MATH  Google Scholar 

  30. Pedrycz, W. and Gomide, F., An Introduction to Fuzzy Sets: Analysis and Design, MIT Press, Cambridge, MA, pp. 85–126, 1998.

    MATH  Google Scholar 

  31. Saha, P. and Konar, A., “Backward reasoning with inverse fuzzy relational matrices,” Proc. of Int. Conf. on Control, Automation, Robotics and Computer Vision, Singapore, 1996.

    Google Scholar 

  32. Saha, P. and Konar, A., “Reciprocity and duality in a fuzzy network model,” Int. J. of Modelling and Simulation, vol. 24, no. 3, pp. 168–178, 2004.

    MATH  Google Scholar 

  33. Saha, P. and Konar, A., “A heuristic algorithm for computing the Max-Min inverse fuzzy relation,” Int. J. of Approximate Reasoning, vol. 30, pp. 131–137, 2002.

    Article  MATH  MathSciNet  Google Scholar 

  34. Scarpelli, H. and Gomide, F., “High level fuzzy Petri nets and backward reasoning,” In Fuzzy Logic and Soft Computing, Bouchon-Meunier, B., Yager, R. R. and Zadeh L. A. (Eds.), World Scientific, Singapore, 1995.

    Google Scholar 

  35. Sil, J. and Konar, A., “Approximate reasoning using probabilistic predicate transition net model,” Int. J. of Modeling and Simulation, vol. 21, no. 2, pp. 155–168, 2001.

    Google Scholar 

  36. Scarpelli, H., Gomide, F. and Yager, R., “A reasoning algorithm for high level fuzzy Petri nets,” IEEE Trans. on Fuzzy Systems, vol. 4, no. 3, pp. 282–295, Aug. 1996.

    Article  Google Scholar 

  37. Shafer, G., A Mathematical Theory of Evidence, Princeton University Press, Princeton, NJ, 1976.

    MATH  Google Scholar 

  38. Waterman, D. A. and Hayes-Roth, F., Pattern Directed Inference Systems, Academic Press, New York, 1977.

    Google Scholar 

  39. Yu, S. K., “Comments on ‘Knowledge representation using fuzzy Petri nets’,” IEEE Trans. on Knowledge and Data Engineering, vol. 7, no.1, pp. 190–191, Feb. 1995.

    Google Scholar 

  40. Yu, S. K., “Knowledge representation and reasoning using fuzzy PrSHIELAT net-systems,” Fuzzy Sets and Systems, vol. 75, pp. 33–45, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  41. Zadeh, L. A. “The role of fuzzy logic in the management of uncertainty in expert system,” Fuzzy Sets and Systems, vol. 11, pp. 199–227, 1983.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Rights and permissions

Reprints and permissions

Copyright information

© 2005 Springer-Verlag London Limited

About this chapter

Cite this chapter

(2005). Distributed Modeling of Abduction, Reciprocity, and Duality by Fuzzy Petri Nets. In: Cognitive Engineering. Advanced Information and Knowledge Processing. Springer, London. https://doi.org/10.1007/1-84628-234-9_9

Download citation

  • DOI: https://doi.org/10.1007/1-84628-234-9_9

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-975-3

  • Online ISBN: 978-1-84628-234-8

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics