Skip to main content
Log in

Toward Modeling Fuzzy Dynamic System Based on Linguistic Values

  • Published:
Mobile Networks and Applications Aims and scope Submit manuscript

Abstract

Dynamic system is important for cognitive science in which cognitive map, fuzzy cognitive map are special cases. Both cognitive and fuzzy cognitive maps have complex state spaces, that is: chaos, limit cycles, fixed points and so on. In this paper, we study a class of fuzzy dynamic system, which called linguistic dynamic system. As a result, class of linguistic dynamic system is always convergent.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Haykin S (2012) Cognitive dynamic systems. Cambridge University Press, Cambridge

    Book  Google Scholar 

  2. Kosko B (1991) Neural network and fuzzy systems: A dynamical systems approach to machine intelligence. Prencice Hall, Har/Dskt Edition

  3. Axelrod R (1976) Structure of Decision: The Cognitive Maps of Political Elites. Princeton Legacy Library

  4. Kosko B (2018) Fuzzy cognitive mpas. Int J Man Mach Stud 24:65–75

    Article  Google Scholar 

  5. Glykas M (2010) Fuzzy cognitive maps, advances in theory, tools and applications. Springer, Berlin

    MATH  Google Scholar 

  6. Papageorgiou EI (2014) Fuzzy cognitive maps for applied science and engineering from fundamentals to extensions and learning algorithms. Springer-Verlag, Berlin

    Google Scholar 

  7. Ho NC, Lan VN, Viet LX (2006) An interpolative reasoning method based on hedge algebras and its application to problem of fuzzy control. In: Proc. of the 10th WSEAS International on Computers, Vouliagmeni, Athens, Greece, July 13-15, pp 526–534

  8. Timothy JR (2010) Fuzzy logic with engineering applications, Third Edition. John Wiley & Sons, New York

    Google Scholar 

  9. Lotfi AZ (1971) Toward a theory of fuzzy systems. In: Kalman RE, De Claris N (eds) Aspects of network and system theory, pp 469–490

  10. Ho NC, Wechler W (1990) Hedge algebras: An algebraic approach to structure of sets of linguistic truth values. Fuzzy Sets Syst 35(3):281–293

    Article  MathSciNet  Google Scholar 

  11. Ho NC, Son TT, Khang TD, Viet LX (2002) Fuzziness measure, quantified semantic mapping and interpolative method of approximate reasoning in medical expert systems. J Comput Sci Cybern 18 (3):237–252

    Google Scholar 

  12. Nguyen VH, Vinh PC (2018) Toward modeling and reasoning with words based on hedge algebra. EAI Endorsed Trans. Context-aware Syst. & Appl, 5(15)

  13. Nguyen VH, Vinh PC (2018) Modeling with words based on hedge algebra. In: 7th EAI International Conference ICCASA 2018 and 4th EAI International Conference, ICTCC 2018, pp 266

  14. Nguyen VH, Nguyen CH, Vinh PC (2019) Toward aggregating fuzzy graphs: A model theory approach. Context-Aware Systems and Applications, and Nature of Computation and Communication. ICCASA 2019, ICTCC 2019. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, pp 298

  15. Nguyen VH, Vinh PC (2020) Reasoning with words: A hedge algebra linguistic cognitive map approach, Concurrency and Computation Practice and Experience

  16. Zadeh LA (2012) Computing with words - Principal Concepts and Ideas. Studies in Fuzziness and Soft Computing. Springer, Berlin

    MATH  Google Scholar 

  17. Zadeh LA (1972) Fuzzy-set-theoretic interpretation of linguistic hedges. Journal of Cybernetics, 2

  18. Zadeh LA (1975) The concept of a linguistic variable and its applications to approximate reasoning. Inf Sci 8(3):199–249

    Article  MathSciNet  Google Scholar 

  19. Ho NC, Nguyen VL (2007) Fuzziness measure on complete hedge algebras and quantifying semantics of terms in linear hedge algebras. Fuzzy Sets Syst 158(4):452–471

    Article  MathSciNet  Google Scholar 

  20. Nguyen VH, Nguyen CH (2021) Algorithm for reasoning with words based on linguistic fuzzy cognitive map. Concurrency and Computation Practice and Experience. https://doi.org/10.1002/cpe.6415

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Phan Cong Vinh.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Van Han, N., Vinh, P.C. Toward Modeling Fuzzy Dynamic System Based on Linguistic Values. Mobile Netw Appl 26, 1339–1343 (2021). https://doi.org/10.1007/s11036-021-01765-x

Download citation

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11036-021-01765-x

Keywords

Navigation