Fuzzy cognitive map

Source: Wikipedia, the free encyclopedia.
Rod Tabers FCM depicting eleven factors of the American drug market

A fuzzy cognitive map (FCM) is a

decision making in social and political systems, then brought in the computation.[3]

Details

Fuzzy cognitive maps are signed fuzzy

matrices
for further computation. FCM is a technique used for causal knowledge acquisition and representation, it supports causal knowledge reasoning process and belong to the neuro-fuzzy system that aim at solving decision making problems, modeling and simulate complex systems.[4] Learning algorithms have been proposed for training and updating FCMs weights mostly based on ideas coming from the field of
Learning algorithms are used to overcome the shortcomings that the traditional FCM present i.e. decreasing the human intervention by suggested automated FCM candidates; or by activating only the most relevant concepts every execution time; or by making models more transparent and dynamic.[10]

Fuzzy cognitive maps (FCMs) have gained considerable research interest due to their ability in representing structured knowledge and model complex systems in various fields. This growing interest led to the need for enhancement and making more reliable models that can better represent real situations. A first simple application of FCMs is described in a book

trivalent logic (scalar values out of {-1,0,+1}). Taber et al. also illustrate the dynamics of map fusion and give a theorem on the convergence of combination in a related article.[14]

While applications in social sciences[11][12][13][15] introduced FCMs to the public, they are used in a much wider range of applications, which all have to deal with creating and using models[16] of uncertainty and complex processes and systems. Examples:

FCMappers is an international online community for the analysis and the visualization of fuzzy cognitive maps.[35] FCMappers offer support for starting with FCM and also provide a Microsoft Excel-based tool that is able to check and analyse FCMs. The output is saved as Pajek file and can be visualized within third party software like Pajek, Visone, etc. They also offer to adapt the software to specific research needs.

Additional FCM software tools, such as Mental Modeler,[36][37] have recently been developed as a decision-support tool for use in social science research, collaborative decision-making, and natural resource planning.

See also

References

  1. doi:10.1016/S0020-7373(86)80040-2
    .
  2. ^ Dickerson, Julie A.; Kosko, Bart (1994). "Virtual Worlds as Fuzzy Cognitive Maps" (PDF). sipi.usc.edu. Archived from the original (PDF) on 2 September 2006. Retrieved 13 January 2022.
  3. ISBN 978-0-691-10050-0
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  4. doi:10.1016/j.asoc.2012.01.015
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  5. doi:10.1016/j.knosys.2016.04.023
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  6. ^ "IEEEBook8.dvi" (PDF). Home.eng.iastate.edu. Retrieved 2017-01-09.
  7. doi:10.1016/j.ijar.2004.01.001
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  8. S2CID 878213
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  9. S2CID 206671682
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  10. doi:10.1016/j.ijhcs.2006.02.009
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  11. ^
    ISBN 0-595-40655-6 (FCM application in chapter 14) Archived September 30, 2007, at the Wayback Machine
  12. ^
    ISBN 0-7868-8021-X
    (Chapter 12: Adaptive Fuzzy Systems)
  13. ^ a b c Rod Taber: Knowledge Processing with Fuzzy Cognitive Maps, Expert Systems with Applications, vol. 2, no. 1, 83-87, 1991 (Hasse diagram in German Wikipedia)
  14. S2CID 205964356
    .
  15. ^ Costas Neocleous, Christos Schizas, Costas Yenethlis: Fuzzy Cognitive Models in Studying Political Dynamics - The case of the Cyprus problem Archived September 29, 2007, at the Wayback Machine
  16. ^ Chrysostomos D. Stylios, Voula C. Georgopoulos, Peter P. Groumpos: The Use of Fuzzy Cognitive Maps in Modeling Systems Archived July 20, 2011, at the Wayback Machine
  17. ISBN 3-8350-0144-2
  18. S2CID 150765164
    .
  19. ^ Vesa A. Niskanen: Application of Fuzzy Linguistic Cognitive Maps to Prisoner's Dilemma, 2005, ICIC International pp. 139-152, ISSN 1349-4198 Archived September 29, 2007, at the Wayback Machine
  20. doi:10.1016/j.knosys.2009.01.002
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  21. PMID 14656490
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  22. S2CID 1434928
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  23. doi:10.1016/j.knosys.2012.01.008
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  24. ISBN 978-3-319-11456-9
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  25. ^ Groumpos, Peter P.; Stylios, Chrysostomos D. (January 2000). "Fuzzy Cognitive Maps in modeling supervisory control systems - IOS Press". Journal of Intelligent & Fuzzy Systems. 8 (1): 83–98. Retrieved 2017-01-09.
  26. S2CID 10611311
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  27. doi:10.1016/j.asoc.2012.02.003
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  28. ^ Marc Böhlen: More Robots in Cages,
  29. ISBN 3-7908-0922-5
  30. ISBN 1-931233-76-4
  31. doi:10.1016/j.eswa.2006.01.032
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  32. doi:10.1016/j.jss.2010.05.073
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  33. S2CID 14713607
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  34. doi:10.1016/j.eswa.2011.08.094
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  35. ^ FCMappers - international community for fuzzy cognitive mapping: http://www.FCMappers.net/
  36. S2CID 1413540
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  37. ^ "Fuzzy Logic Cognitive Mapping". Mental Modeler. Retrieved 2017-01-09.
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