On the Convergence of Input-Output Fuzzy Cognitive Maps

István Harmati, László T. Kóczy

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

Abstract

Fuzzy cognitive maps are recurrent neural networks, where the neurons have a well-defined meaning. In certain models, some neurons receive outer input, while other neurons produce the output of the system. According to this observation, some neurons are categorized as input neurons and the others are the state neurons and output neurons. The output of the system is provided as a limit of an iteration process, which may converge to an equilibrium point, but limit cycles or chaotic behaviour may also show up. In this paper, we examine the existence and uniqueness of fixed points for two types of input-output fuzzy cognitive maps. Moreover, we use network-based measures like in-degree, out-degree and connectivity, to express conditions for the convergence of the iteration process.

Original languageEnglish
Title of host publicationRough Sets - International Joint Conference, IJCRS 2020, Proceedings
EditorsRafael Bello, Duoqian Miao, Rafael Falcon, Michinori Nakata, Alejandro Rosete, Davide Ciucci
PublisherSpringer
Pages449-461
Number of pages13
ISBN (Print)9783030527044
DOIs
Publication statusPublished - 2020
EventInternational Joint Conference on Rough Sets, IJCRS 2020 - Havana, Cuba
Duration: Jun 29 2020Jul 3 2020

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume12179 LNAI
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

Conference

ConferenceInternational Joint Conference on Rough Sets, IJCRS 2020
CountryCuba
CityHavana
Period6/29/207/3/20

Keywords

  • Convergence
  • Equilibrium point
  • Fuzzy cognitive map
  • Input-output fuzzy cognitive map
  • Stability

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Harmati, I., & Kóczy, L. T. (2020). On the Convergence of Input-Output Fuzzy Cognitive Maps. In R. Bello, D. Miao, R. Falcon, M. Nakata, A. Rosete, & D. Ciucci (Eds.), Rough Sets - International Joint Conference, IJCRS 2020, Proceedings (pp. 449-461). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 12179 LNAI). Springer. https://doi.org/10.1007/978-3-030-52705-1_33