MODIFIED METHOD OF INTRODUCING THRESHOLDING FUNCTIONS IN MODELS OF RELATIONAL FUZZY COGNITIVE MAPS

Grzegorz Słoń

g.slon@tu.kielce.pl
Politechnika Świętokrzyska, Katedra Systemów Informatycznych (Poland)

Abstract

The article describes the method for introducing a threshold function into a model of the Relational Fuzzy Cognitive Map that uses fuzzy numbers arithmetic. Processing the fuzzy number by function causes deformations of the shape if this number and its support. It is proposed a geometrical approach to this problem, allowing to maintain constancy of the support and to keep the shape of the processed fuzzy number with an appropriate shift of the center of this number. The method was tested on fuzzy numbers with different membership functions.


Keywords:

computational intelligence, fuzzy systems, fuzzy cognitive maps, fuzzy numbers

Bishop Ch. M.: Neural Networks for Pattern Recognition. Clarendon Press, Oxford 1996.
  Google Scholar

Dickerson J. A., Kosko B.: Virtual worlds as fuzzy cognitive maps. Presence 3(2)/1994, 173–189, [DOI: 10.1162/pres.1994.3.2.173].
  Google Scholar

Jastriebow A., Piotrowska K., Słoń G., Algorithm of Building the Intelligent Models Based on Relational Cognitive Maps. Computer Technologies in Science, Technology and Education, Institute for Sustainable Technologies - National Research Institute, Radom 2012, 138–151.
  Google Scholar

Jastriebow A., Poczęta K.: Analysis of multi-step algorithms for cognitive maps learning. Bulletin of the Polish Academy of Sciences-Technical Sciences 62(4)/2014, 735–741, [DOI: 10.2478/bpasts-2014-0079].
  Google Scholar

Kosko B.: Fuzzy cognitive maps. Int. Journal of Man-Machine Studies, 24/1986, 65–75, [10.1016/S0020-7373(86)80040-2].
  Google Scholar

Kaufmann A., Gupta M. M.: Introduction to Fuzzy Arithmetic: Theory and Applications. Van Nostrand Reinhold, New York 1985, [DOI: 10.1016/0888-613X(87)90010-7].
  Google Scholar

Papageorgiou E. I.: Learning Algorithms for Fuzzy Cognitive Maps – A Review Study. IEEE Transactions on Systems, Man and Cybernetics, Part C: Applications and Reviews 42(2)/2012, 150–163, [DOI: 10.1109/TSMCC.2011.2138694].
  Google Scholar

Słoń G.: Analiza wybranych algorytmów adaptacji relacji w rozmytych mapach kognitywnych. Pomiary, Automatyka, Kontrola 56(12)/2010, 1445–1448.
  Google Scholar

Słoń G.: Relacyjne rozmyte mapy kognitywne w modelowaniu złożonych systemów. Wydawnictwo Politechniki Świętokrzyskiej, Kielce 2013.
  Google Scholar

Stylios C. D., Groumpos P. P.: Fuzzy cognitive maps in modeling supervisory control systems. Journal of Intelligent & Fuzzy Systems 8(2)/2000, 83–98.
  Google Scholar

Zadeh L. A.: Outline of a New Approach to the Analysis of Complex Systems and Decision Processes. IEEE Transactions on Systems. Man and Cybernetics 1/1973, 28–44, [DOI: 10.1109/TSMC.1973.5408575].
  Google Scholar


Published
2017-09-30

Cited by

Słoń, G. . (2017). MODIFIED METHOD OF INTRODUCING THRESHOLDING FUNCTIONS IN MODELS OF RELATIONAL FUZZY COGNITIVE MAPS. Informatyka, Automatyka, Pomiary W Gospodarce I Ochronie Środowiska, 7(3), 86–89. https://doi.org/10.5604/01.3001.0010.5223

Authors

Grzegorz Słoń 
g.slon@tu.kielce.pl
Politechnika Świętokrzyska, Katedra Systemów Informatycznych Poland

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