Improvements on the Convergence and Stability of Fuzzy Grey Cognitive Maps

István Harmati, László T. Kóczy

Research output: Conference contribution

Abstract

Fuzzy grey cognitive maps (FGCMs) are extensions of fuzzy cognitive maps (FCMs), where the causal connections between the concepts are represented by so-called grey numbers. Just like in classical FCMs, the inference is determined by an iteration process, which may converge to an equilibrium point, but limit cycles or chaotic behaviour may also show up. In this paper, based on network measures like in-degree, out-degree and connectivity, we provide new sufficient conditions for the existence and uniqueness of fixed points for FGCMs. Moreover, a tighter convergence condition is presented using the spectral radius of the modified weight matrix.

Original languageEnglish
Title of host publicationInformation Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings
EditorsMarie-Jeanne Lesot, Susana Vieira, Marek Z. Reformat, João Paulo Carvalho, Anna Wilbik, Bernadette Bouchon-Meunier, Ronald R. Yager
PublisherSpringer
Pages509-523
Number of pages15
ISBN (Print)9783030501525
DOIs
Publication statusPublished - jan. 1 2020
Event18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020 - Lisbon, Portugal
Duration: jún. 15 2020jún. 19 2020

Publication series

NameCommunications in Computer and Information Science
Volume1239 CCIS
ISSN (Print)1865-0929
ISSN (Electronic)1865-0937

Conference

Conference18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020
CountryPortugal
CityLisbon
Period6/15/206/19/20

ASJC Scopus subject areas

  • Computer Science(all)
  • Mathematics(all)

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    Harmati, I., & Kóczy, L. T. (2020). Improvements on the Convergence and Stability of Fuzzy Grey Cognitive Maps. In M-J. Lesot, S. Vieira, M. Z. Reformat, J. P. Carvalho, A. Wilbik, B. Bouchon-Meunier, & R. R. Yager (Eds.), Information Processing and Management of Uncertainty in Knowledge-Based Systems - 18th International Conference, IPMU 2020, Proceedings (pp. 509-523). (Communications in Computer and Information Science; Vol. 1239 CCIS). Springer. https://doi.org/10.1007/978-3-030-50153-2_38