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Model Reduction Methods

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Fuzzy Cognitive Maps

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 427))

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Abstract

Fuzzy Cognitive Maps are very useful tools primarily in decision making and management tasks. They represent the main factors, variables of a complex system and the internal causal relationships among them in a straightforward way. Simulations can be started with an initial state, and the future states of the system under investigation can be predicted. This way, what-if questions can be answered. If the model of a system is created by experts they are often tempted to include too many components, because they are not sure in the importance of them. An oversized model is excruciating to use in practice, however. Model reduction methods help to decrease model size but unavoidably cause information loss as well. This effect does not cause a problem in practical decision making applications if the model suggests the same decisions. This chapter covers three FCM model reduction methods, their theoretical background and behavioral properties.

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References

  1. Alizadeh S, Ghazanfari M, Fathian M (2008) Using data mining for learning and clustering FCM. Int J Comput Intell 4(2):118–125

    Google Scholar 

  2. Buruzs A, Pozna RC, Kóczy LT (2013) Developing fuzzy cognitive maps for modeling regional waste management systems. In: 3rd international conference on soft computing technology in civil, structural and environmental engineering, CSC 2013. Civil-Comp Press

    Google Scholar 

  3. Buruzs A, Hatwágner MF, Kóczy LT et al (2013) Modeling integrated sustainable waste management systems by fuzzy cognitive maps and the system of systems concept. Czasopismo Techniczne (Automatyka Zeszyt 3-AC (11) 2013):93–110

    Google Scholar 

  4. Buruzs A, Hatwágner MF, Pozna RC, Kóczy LT (2013) Advanced learning of fuzzy cognitive maps of waste management by bacterial algorithm. In: 2013 joint IFSA world congress and NAFIPS annual meeting (IFSA/NAFIPS), pp 890–895. IEEE

    Google Scholar 

  5. Gabus A, Fontela E (1973) Perceptions of the world problematique: communication procedure, communicating with those bearing collective responsibility (dematel report no 1). Technical report, Battelle Geneva Research Centre, Geneva, Switzerland

    Google Scholar 

  6. Hartigan JA, Wong MA (1979) Algorithm as 136: a k-means clustering algorithm. J R Stat Soc Ser C (Applied Statistics) 28(1):100–108

    Google Scholar 

  7. Hatwagner MF, Koczy LT (2015) Parameterization and concept optimization of FCM models. In: 2015 IEEE international conference on fuzzy systems (FUZZ-IEEE), Istanbul, Aug 2015. IEEE, pp 1–8

    Google Scholar 

  8. Hatwágner MF, Buruzs A, Földesi P, Kóczy LT (2014) Strategic decision support in waste management systems by state reduction in FCM models. In: International conference on neural information processing. Springer

    Google Scholar 

  9. Hatwágner MF, Kóczy LT (2019) Novel methods of FCM model reduction. In: Book of abstracts, p 56

    Google Scholar 

  10. Hatwágner MF, Buruzs A, Földesi P, Tamás Kóczy L (2015) A new state reduction approach for fuzzy cognitive map with case studies for waste management systems. In: Computational intelligence in information systems. Springer, pp 119–127

    Google Scholar 

  11. Hatwágner MF, Yesil E, Dodurka MF, Papageorgiou E, Urbas L, Kóczy LT (2018) Two-stage learning based fuzzy cognitive maps reduction approach. IEEE Trans Fuzzy Syst 26(5):2938–2952

    Google Scholar 

  12. Homenda W, Jastrzebska A, Pedrycz W (2014) Computer information systems and industrial management: 13th IFIP TC8 international conference, CISIM 2014, Ho Chi Minh City, Vietnam, 5–7 Nov 2014. Proceedings, chapter time series modeling with fuzzy cognitive maps: simplification strategies, pp 409–420. Springer, Berlin, Heidelberg

    Google Scholar 

  13. Klir GJ, Yuan B (1995) Fuzzy sets and fuzzy logic—theory and applications. Prentice Hall, USA

    Google Scholar 

  14. Kohavi Z, Jha NK (2009) Switching and finite automata theory, 3rd edn. Cambridge University Press

    Google Scholar 

  15. Kruskal JB (1956) On the shortest spanning subtree of a graph and the traveling salesman problem. Proc Am Math Soc 7(1):48–50

    Google Scholar 

  16. Nápoles G, Grau I, Bello R, Grau R (2014) Two-steps learning of fuzzy cognitive maps for prediction and knowledge discovery on the hiv-1 drug resistance. Exp Syst Appl 41(3):821–830. Methods and Applications of Artificial and Computational Intelligence

    Google Scholar 

  17. Papageorgiou EI, Hatwágner MF, Buruzs A, Kóczy LT (2017) A concept reduction approach for fuzzy cognitive map models in decision making and management. Neurocomputing 232:16–33

    Google Scholar 

  18. Yen J, Langari R (1999) Fuzzy logic: intelligence, control, and information. Prentice Hall

    Google Scholar 

  19. Yesil E, Urbas L (2010) Big bang-big crunch learning method for fuzzy cognitive maps. World Acad Sci Engi Technol 71:816–825

    Google Scholar 

Download references

Acknowledgements

The research presented in this paper was carried out as part of the EFOP-3.6.2-16-2017-00016 project in the framework of the New Széchenyi Plan. The completion of this project is funded by the European Union and co-financed by the European Social Fund.

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Correspondence to Miklós F. Hatwagner .

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Hatwagner, M.F. (2024). Model Reduction Methods. In: Fuzzy Cognitive Maps. Studies in Fuzziness and Soft Computing, vol 427. Springer, Cham. https://doi.org/10.1007/978-3-031-37959-8_5

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