On the convergence of fuzzy grey cognitive maps

István Harmati, L. Kóczy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Fuzzy grey cognitive maps (FGCMs) are extensions of fuzzy cognitive maps (FCMs), applying uncertain weights between the concepts. This uncertainty is expressed by so-called grey numbers. Similarly to FCMs, the inference is determined by an iteration process, which may converge to an equilibrium point, but limit cycles or chaotic behaviour may also turn up. In this paper, based on the grey weighted connections between the concepts and the parameter of the sigmoid threshold function, we give sufficient conditions for the existence and uniqueness of fixed points for sigmoid FGCMs.

Original languageEnglish
Title of host publicationInformation Technology, Systems Research, and Computational Physics
EditorsLászló T. Kóczy, Radko Mesiar, László T. Kóczy, Piotr Kulczycki, Piotr Kulczycki, Janusz Kacprzyk, Rafal Wisniewski
PublisherSpringer Verlag
Pages74-84
Number of pages11
ISBN (Print)9783030180577
DOIs
Publication statusPublished - Jan 1 2020
Event3rd Conference on Information Technology, Systems Research and Computational Physics, ITSRCP 2018 - Krakow, Poland
Duration: Jul 2 2018Jul 5 2018

Publication series

NameAdvances in Intelligent Systems and Computing
Volume945
ISSN (Print)2194-5357

Conference

Conference3rd Conference on Information Technology, Systems Research and Computational Physics, ITSRCP 2018
CountryPoland
CityKrakow
Period7/2/187/5/18

Fingerprint

Uncertainty

Keywords

  • Fixed point
  • Fuzzy cognitive map
  • Fuzzy grey cognitive map
  • Grey system theory

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science(all)

Cite this

Harmati, I., & Kóczy, L. (2020). On the convergence of fuzzy grey cognitive maps. In L. T. Kóczy, R. Mesiar, L. T. Kóczy, P. Kulczycki, P. Kulczycki, J. Kacprzyk, & R. Wisniewski (Eds.), Information Technology, Systems Research, and Computational Physics (pp. 74-84). (Advances in Intelligent Systems and Computing; Vol. 945). Springer Verlag. https://doi.org/10.1007/978-3-030-18058-4_6

On the convergence of fuzzy grey cognitive maps. / Harmati, István; Kóczy, L.

Information Technology, Systems Research, and Computational Physics. ed. / László T. Kóczy; Radko Mesiar; László T. Kóczy; Piotr Kulczycki; Piotr Kulczycki; Janusz Kacprzyk; Rafal Wisniewski. Springer Verlag, 2020. p. 74-84 (Advances in Intelligent Systems and Computing; Vol. 945).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Harmati, I & Kóczy, L 2020, On the convergence of fuzzy grey cognitive maps. in LT Kóczy, R Mesiar, LT Kóczy, P Kulczycki, P Kulczycki, J Kacprzyk & R Wisniewski (eds), Information Technology, Systems Research, and Computational Physics. Advances in Intelligent Systems and Computing, vol. 945, Springer Verlag, pp. 74-84, 3rd Conference on Information Technology, Systems Research and Computational Physics, ITSRCP 2018, Krakow, Poland, 7/2/18. https://doi.org/10.1007/978-3-030-18058-4_6
Harmati I, Kóczy L. On the convergence of fuzzy grey cognitive maps. In Kóczy LT, Mesiar R, Kóczy LT, Kulczycki P, Kulczycki P, Kacprzyk J, Wisniewski R, editors, Information Technology, Systems Research, and Computational Physics. Springer Verlag. 2020. p. 74-84. (Advances in Intelligent Systems and Computing). https://doi.org/10.1007/978-3-030-18058-4_6
Harmati, István ; Kóczy, L. / On the convergence of fuzzy grey cognitive maps. Information Technology, Systems Research, and Computational Physics. editor / László T. Kóczy ; Radko Mesiar ; László T. Kóczy ; Piotr Kulczycki ; Piotr Kulczycki ; Janusz Kacprzyk ; Rafal Wisniewski. Springer Verlag, 2020. pp. 74-84 (Advances in Intelligent Systems and Computing).
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