Skip to main content
SpringerLink
Log in

Intuitionistic Fuzzy Evaluation of the Behavior of Tokens in Generalized Nets

  • Conference paper
Intelligent Systems'2014

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 322))

Abstract

Two methods for evaluation of the behavior of tokens in Generalized Nets (GNs) are discussed. In the ordinary GNs the evaluations are based on determining whether the characteristics of the tokens meet a predefined criterion. It is shown that in Generalized Nets with Characteristics of the Places (GNCP) the evaluations of the tokens can also be obtained on the basis of the characteristics of the places. The evaluations are obtained in the form of Intuitionistic Fuzzy Pairs (IFPs). Modification of a given GN model is proposed which allows for the evaluation of tokens on the basis of the characteristics of the places to be obtained during the functioning of the net. The modified GN preserves the functioning and the results of the work of the given net.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Andonov, V., Atanassov, K.: Generalized nets with characteristics of the places. Compt. Rend. Acad. Bulg. Sci. 66(12), 1673–1680 (2013)

    MathSciNet  Google Scholar 

  2. Andonov, V.: Intuitionistic fuzzy evaluation of tokens in generalized nets based on their characteristics. Notes on Intuitionistic Fuzzy Sets 20(2), 109–118 (2014)

    Google Scholar 

  3. Andonov, V.: Reduced generalized nets with characteristics of the places. ITA 2013 – ITHEA ISS Joint International Events on Informatics, Winter Session, December 18-19, Sofia, Bulgaria (2013) (in press)

    Google Scholar 

  4. Atanassov, K.: Applications of Generalized Nets. World Scientific Publ. Co., Singapore (1993)

    Google Scholar 

  5. Atanassov, K., Dimitrov, D., Atanassova, V.: Algorithms for Tokens Transfer in Diferent Types of Intuitionistic Fuzzy Generalized Nets. Cybernetics and Information Technologies 10(4), 22–35 (2010)

    MathSciNet  Google Scholar 

  6. Atanassov, K.: Generalized Nets. World Scientific, Singapore (1991)

    Google Scholar 

  7. Atanassov, K.: On Generalized Nets Theory. Prof. M. Drinov Academic Publ. House, Sofia (2007)

    Google Scholar 

  8. Atanassov, K., Szmidt, E., Kacprzyk, J.: On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets 19(3), 1–13 (2013)

    Google Scholar 

  9. Dimitrov, D.: Optimized Algorithm for Tokens Transfer in Generalized Nets. In: Recent Advances in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, vol. 1, pp. 63–68. SRI PAS, Warsaw (2010)

    Google Scholar 

  10. Murata, T.: Petri Nets: Properties, Analysis and Applications. Proceedings of the IEEE 77(4), 541–580 (1989)

    Article  Google Scholar 

  11. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., bl. 105, 1113, Sofia, Bulgaria

    Velin Andonov

  2. Faculty of Engineering & IT, University of Technology, Sydney, NSW, 2007, Australia

    Anthony Shannon

Authors
  1. Velin Andonov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Anthony Shannon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Velin Andonov .

Editor information

Editors and Affiliations

  1. School of Computing and Communications, Lancaster University, Lancaster, United Kingdom

    P. Angelov

  2. Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Sofia, Bulgaria

    K.T. Atanassov

  3. Intelligent Systems Department, Bulgarian Academy of Sciences Inst. of Infor. & Communication Techn., Sofia, Bulgaria

    L. Doukovska

  4. Metalurgy, University of Chemical Technology and, Sofia, Bulgaria

    M. Hadjiski

  5. University of Library Studies and IT (ULSIT), Sofia, Bulgaria

    V. Jotsov

  6. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    J. Kacprzyk

  7. Knowledge Engineering and Discovery Research Institute, Auckland University of Technology, Auckland, New Zealand

    N. Kasabov

  8. Intelligent Systems Laboratory, Prof. Assen Zlatarov University Faculty of Technical Sciences, Bourgas, Bulgaria

    S. Sotirov

  9. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    E. Szmidt

  10. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    S. Zadrożny

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Andonov, V., Shannon, A. (2015). Intuitionistic Fuzzy Evaluation of the Behavior of Tokens in Generalized Nets. In: Angelov, P., et al. Intelligent Systems'2014. Advances in Intelligent Systems and Computing, vol 322. Springer, Cham. https://doi.org/10.1007/978-3-319-11313-5_56

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11313-5_56

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11312-8

  • Online ISBN: 978-3-319-11313-5

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation