Fuzzy Cognitive Maps Reasoning with Words Based on Triangular Fuzzy Numbers

  • Mabel FriasEmail author
  • Yaima Filiberto
  • Gonzalo Nápoles
  • Yadira García-Socarrás
  • Koen Vanhoof
  • Rafael Bello
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10632)


A pivotal difference between Artificial Neural Networks and Fuzzy Cognitive Maps (FCMs) is that the latter allow modeling a physical system in terms of concepts and causal relations, thus equipping the network with interpretability features. However, such components are normally described by quantitative terms, which may be difficult to handle by domain experts. In this paper, we explore a reasoning mechanism for FCMs based on the Computing with Words paradigm where numerical concepts and relations are replaced with linguistic terms. More explicitly, we include triangular fuzzy numbers into the qualitative reasoning process attached to our model, thus proving further interpretability and transparency. The simulations show the potential behind the symbolic reasoning mechanism proposed in this study.


Fuzzy cognitive maps Computing with Words Triangular fuzzy number Chondromalacia 



The authors would like to thank Isel Grau (Vrije Universiteit Brussel, Belgium) for her valuable suggestions on the transfer function design.


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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Mabel Frias
    • 1
    Email author
  • Yaima Filiberto
    • 1
  • Gonzalo Nápoles
    • 2
  • Yadira García-Socarrás
    • 4
  • Koen Vanhoof
    • 2
  • Rafael Bello
    • 3
  1. 1.Universidad de CamagüeyCamagüeyCuba
  2. 2.Hasselt UniversiteitDiepenbeekBelgium
  3. 3.Central University of Las VillasSanta ClaraCuba
  4. 4.Universidad de Ciencias Médicas de CamagüeyCamagüeyCuba

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