Skip to main content
Erschienen in:
Buchtitelbild

2014 | OriginalPaper | Buchkapitel

1. Methods and Algorithms for Fuzzy Cognitive Map-based Modeling

verfasst von : Elpiniki I. Papageorgiou, Jose L. Salmeron

Erschienen in: Fuzzy Cognitive Maps for Applied Sciences and Engineering

Verlag: Springer Berlin Heidelberg

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The challenging problem of complex systems modeling methods with learning capabilities and characteristics that utilize existence knowledge and human experience is investigated using Fuzzy Cognitive Maps (FCMs). FCMs are ideal causal cognition tools for modeling and simulating dynamic systems. Their usefulness has been proved from their wide applicability in diverse domains. They gained momentum due to their simplicity, flexibility to model design, adaptability to different situations, and ease of use. In general, they model the behavior of a complex system utilizing experts knowledge and/or available knowledge from existing databases. They are mainly used for knowledge representation and decision support where their modeling features and their learning capabilities make them efficient to support these tasks. This chapter gathers the methods and learning algorithms of FCMs applied to modeling and decision making tasks. A comprehensive survey of the current modeling methodologies and learning algorithms of FCMs is presented. The leading methods and learning algorithms, concentrated on modeling, are described analytically and analyzed presenting experimental results of a known case study. The main features of computational methodologies are compared and future research directions are outlined.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Acampora, G., Loia, V.: On the temporal granularity in fuzzy cognitive maps. IEEE Trans. Fuzzy Syst. 19(6), 1040–1057 (2011)CrossRef Acampora, G., Loia, V.: On the temporal granularity in fuzzy cognitive maps. IEEE Trans. Fuzzy Syst. 19(6), 1040–1057 (2011)CrossRef
2.
Zurück zum Zitat Aguilar, J.: A dynamic fuzzy cognitive map approach based on random neural networks. Int. J. Comput. Cogn. 1(4), 91–107 (2003) Aguilar, J.: A dynamic fuzzy cognitive map approach based on random neural networks. Int. J. Comput. Cogn. 1(4), 91–107 (2003)
3.
Zurück zum Zitat Aguilar, J., Contreras, J.: The FCM designer tool in fuzzy cognitive maps. Stud. Fuzziness Soft Comput. 247, 71–87 (2010)CrossRef Aguilar, J., Contreras, J.: The FCM designer tool in fuzzy cognitive maps. Stud. Fuzziness Soft Comput. 247, 71–87 (2010)CrossRef
4.
Zurück zum Zitat Alizadeh, S., Ghazanfari, M.: Learning FCM by chaotic simulated annealing. Chaos, Solitons Fractals 41, 1182–1190 (2008)CrossRef Alizadeh, S., Ghazanfari, M.: Learning FCM by chaotic simulated annealing. Chaos, Solitons Fractals 41, 1182–1190 (2008)CrossRef
5.
Zurück zum Zitat Alizadeh, S., Ghazanfari, M., Fathian, M.: Using data mining for learning and clustering FCM. Int. J. Comput. Intell. 4(2), 118–125 (2008) Alizadeh, S., Ghazanfari, M., Fathian, M.: Using data mining for learning and clustering FCM. Int. J. Comput. Intell. 4(2), 118–125 (2008)
6.
Zurück zum Zitat Alizadeh, S., Ghazanfari, M., Jafari, M., Hooshmand, S.: Learning FCM by Tabu search. Int. J. Comput. Sci. 2, 143–149 (2008) Alizadeh, S., Ghazanfari, M., Jafari, M., Hooshmand, S.: Learning FCM by Tabu search. Int. J. Comput. Sci. 2, 143–149 (2008)
7.
Zurück zum Zitat Alter, S.L.: Decision Support Systems: Current Practice and Continuing Challenge. Addison Wesley, Reading (1980) Alter, S.L.: Decision Support Systems: Current Practice and Continuing Challenge. Addison Wesley, Reading (1980)
8.
Zurück zum Zitat Andreou, A.S., Mateou, N.H., Zombanakis, G.A.: Soft computing for crisis management and political decision making: the use of genetically evolved fuzzy cognitive maps. Soft Comput. 9(3), 194–210 (2005)CrossRef Andreou, A.S., Mateou, N.H., Zombanakis, G.A.: Soft computing for crisis management and political decision making: the use of genetically evolved fuzzy cognitive maps. Soft Comput. 9(3), 194–210 (2005)CrossRef
9.
Zurück zum Zitat Arthi, K., Tamilarasi, A., Papageorgiou, E.I.: Analyzing the performance of fuzzy cognitive maps with non-linear hebbian learning algorithm in predicting autistic disorder. Expert Syst. Appl. 38, 1282–1292 (2011)CrossRef Arthi, K., Tamilarasi, A., Papageorgiou, E.I.: Analyzing the performance of fuzzy cognitive maps with non-linear hebbian learning algorithm in predicting autistic disorder. Expert Syst. Appl. 38, 1282–1292 (2011)CrossRef
10.
Zurück zum Zitat Axelrod, R.: Structure of Decision: The Cognitive Maps of Political Elites. Princeton University Press, Princeton (1976) Axelrod, R.: Structure of Decision: The Cognitive Maps of Political Elites. Princeton University Press, Princeton (1976)
11.
Zurück zum Zitat Baykasoglu, A., Durmusoglu, Z.D.U., Kaplanoglu, V.: Training fuzzy cognitive maps via extended great deluge algorithm with applications. Comput. Ind. 62(2), 187–195 (2011)CrossRef Baykasoglu, A., Durmusoglu, Z.D.U., Kaplanoglu, V.: Training fuzzy cognitive maps via extended great deluge algorithm with applications. Comput. Ind. 62(2), 187–195 (2011)CrossRef
12.
Zurück zum Zitat Beena, P., Ganguli, R.: Structural damage detection using fuzzy cognitive maps and Hebbian learning. Appl. Soft Comput. 11(1), 1014–1020 (2010)CrossRef Beena, P., Ganguli, R.: Structural damage detection using fuzzy cognitive maps and Hebbian learning. Appl. Soft Comput. 11(1), 1014–1020 (2010)CrossRef
13.
Zurück zum Zitat Boutalis, Y., Kottas, T., Christodoulou, M.: Estimation, adaptive of fuzzy cognitive maps with proven stability and parameter convergence. IEEE Trans. Fuzzy Syst. 17(4), 874–889 (2009)CrossRef Boutalis, Y., Kottas, T., Christodoulou, M.: Estimation, adaptive of fuzzy cognitive maps with proven stability and parameter convergence. IEEE Trans. Fuzzy Syst. 17(4), 874–889 (2009)CrossRef
14.
Zurück zum Zitat Cai, Y., Miao, C., Tan, A.H., Shen, Z., Li, B.: Creating an immersive game world with evolutionary fuzzy cognitive maps. IEEE J. Comput. Graph. Appl. 30(2), 58–70 (2010)CrossRef Cai, Y., Miao, C., Tan, A.H., Shen, Z., Li, B.: Creating an immersive game world with evolutionary fuzzy cognitive maps. IEEE J. Comput. Graph. Appl. 30(2), 58–70 (2010)CrossRef
15.
Zurück zum Zitat Carvalho, J.P.: Rule based fuzzy cognitive maps in humanities, social sciences and economics. Stud. Fuzziness Soft Comput. 273, 289–300 (2012)CrossRef Carvalho, J.P.: Rule based fuzzy cognitive maps in humanities, social sciences and economics. Stud. Fuzziness Soft Comput. 273, 289–300 (2012)CrossRef
16.
Zurück zum Zitat Carvalho, J.P., Tome, J.A.: Rule based fuzzy cognitive maps–expressing time in qualitative system dynamics. In: Proceedings of the 2001 FUZZ-IEEE, Melbourne, Australia (2001) Carvalho, J.P., Tome, J.A.: Rule based fuzzy cognitive maps–expressing time in qualitative system dynamics. In: Proceedings of the 2001 FUZZ-IEEE, Melbourne, Australia (2001)
17.
Zurück zum Zitat Chen, Y., Mazlack, L.J., Lu, L.J.; Maps, learning fuzzy cognitive, from data by Ant colony optimization. In: GECCO12, Philadelphia, Pennsylvania, USA, 7–11 July 2012 Chen, Y., Mazlack, L.J., Lu, L.J.; Maps, learning fuzzy cognitive, from data by Ant colony optimization. In: GECCO12, Philadelphia, Pennsylvania, USA, 7–11 July 2012
18.
Zurück zum Zitat Chunmei, L., Yue, H.: Learning, cellular automata of fuzzy cognitive map. In: International Conference on System Science and Engineering, Dalian, China (2012) Chunmei, L., Yue, H.: Learning, cellular automata of fuzzy cognitive map. In: International Conference on System Science and Engineering, Dalian, China (2012)
19.
Zurück zum Zitat Dickerson, J.A., Kosko, B.: Virtual worlds as fuzzy cognitive maps. In: Proceedings of IEEE Virtual Reality Annual International Symposium, pp. 471–477. New York (1993) Dickerson, J.A., Kosko, B.: Virtual worlds as fuzzy cognitive maps. In: Proceedings of IEEE Virtual Reality Annual International Symposium, pp. 471–477. New York (1993)
20.
Zurück zum Zitat Dickerson, J.A., Kosko, B.: Virtual worlds as fuzzy cognitive maps. Presence 3(2), 173–189 (1994) Dickerson, J.A., Kosko, B.: Virtual worlds as fuzzy cognitive maps. Presence 3(2), 173–189 (1994)
21.
Zurück zum Zitat Ding, Z., Li, D., Jia, J.: First study of fuzzy cognitive map learning using ants colony optimization. J. Comput. Inf. Syst. 7(13), 4756–4763 (2011) Ding, Z., Li, D., Jia, J.: First study of fuzzy cognitive map learning using ants colony optimization. J. Comput. Inf. Syst. 7(13), 4756–4763 (2011)
22.
Zurück zum Zitat Froelich, W., Papageorgiou, E.I., Samarinas, M., Skriapas, K.: Application of evolutionary FCMs to the long-term prediction of prostate cancer. Appl. Soft Comput. 12(12), 3810–3817 (2012)CrossRef Froelich, W., Papageorgiou, E.I., Samarinas, M., Skriapas, K.: Application of evolutionary FCMs to the long-term prediction of prostate cancer. Appl. Soft Comput. 12(12), 3810–3817 (2012)CrossRef
23.
Zurück zum Zitat Froelich, W., Wakulicz-Deja, A.: Predictive capabilities of adaptive and evolutionary fuzzy cognitive maps: a comparative study. In: Nguyen, N.T., Szczerbicki, E. (eds.) Intelligent Systems for Knowledge Management, SCI 252, pp. 153–174. Springer, Berlin (2009) Froelich, W., Wakulicz-Deja, A.: Predictive capabilities of adaptive and evolutionary fuzzy cognitive maps: a comparative study. In: Nguyen, N.T., Szczerbicki, E. (eds.) Intelligent Systems for Knowledge Management, SCI 252, pp. 153–174. Springer, Berlin (2009)
24.
Zurück zum Zitat Ghaderi, S.F., Azadeh, A.: Pourvalikhan Nokhandan, B., Fathi, E.: Behavioral simulation and optimization of generation companies in electricity markets by fuzzy cognitive map. Expert Syst. Appl. 39(5), 4635–4646 (2012)CrossRef Ghaderi, S.F., Azadeh, A.: Pourvalikhan Nokhandan, B., Fathi, E.: Behavioral simulation and optimization of generation companies in electricity markets by fuzzy cognitive map. Expert Syst. Appl. 39(5), 4635–4646 (2012)CrossRef
25.
Zurück zum Zitat Glykas, M.: Fuzzy Cognitive Maps-Theories, Methodologies, Tools and Applications. Springer, Berlin (2010)CrossRef Glykas, M.: Fuzzy Cognitive Maps-Theories, Methodologies, Tools and Applications. Springer, Berlin (2010)CrossRef
26.
Zurück zum Zitat Hebb, D.O.: The Organization of Behavior. Wiley, New York (1949) Hebb, D.O.: The Organization of Behavior. Wiley, New York (1949)
27.
Zurück zum Zitat Herrera, F., Lozano, M., Verdegay, J.L.: Tackling real-coded genetic algorithms: operators and tools for behavioural analysis. Artif. Intell. Rev. 12, 265–319 (1998)CrossRefMATH Herrera, F., Lozano, M., Verdegay, J.L.: Tackling real-coded genetic algorithms: operators and tools for behavioural analysis. Artif. Intell. Rev. 12, 265–319 (1998)CrossRefMATH
28.
Zurück zum Zitat Huerga, A.V.: A balanced differential learning algorithm in fuzzy cognitive maps. In: Proceedings of the 16th International Workshop on Qualitative Reasoning (2002) Huerga, A.V.: A balanced differential learning algorithm in fuzzy cognitive maps. In: Proceedings of the 16th International Workshop on Qualitative Reasoning (2002)
29.
Zurück zum Zitat Kok, K.: The potential of fuzzy cognitive maps for semi-quantitative scenario development, with an example from Brazil. Global Environ. Change 19, 122–133 (2009)CrossRef Kok, K.: The potential of fuzzy cognitive maps for semi-quantitative scenario development, with an example from Brazil. Global Environ. Change 19, 122–133 (2009)CrossRef
30.
31.
32.
Zurück zum Zitat Kosko, B.: Neural Networks and Fuzzy Systems. Prentice-Hall, Englewood Cliffs (1992)MATH Kosko, B.: Neural Networks and Fuzzy Systems. Prentice-Hall, Englewood Cliffs (1992)MATH
33.
Zurück zum Zitat Kottas, T.L., Boutalis, Y.S., Christodoulou, M.A.: Fuzzy cognitive networks: a general framework. Intell. Decis. Technol. 1, 183–196 (2007) Kottas, T.L., Boutalis, Y.S., Christodoulou, M.A.: Fuzzy cognitive networks: a general framework. Intell. Decis. Technol. 1, 183–196 (2007)
34.
Zurück zum Zitat Koulouriotis, D.E., Diakoulakis, I.E., Emiris, D.M.: Learning fuzzy cognitive maps using evolution strategies: a novel schema for modeling and simulating high-level behavior. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 364–371 (2001) Koulouriotis, D.E., Diakoulakis, I.E., Emiris, D.M.: Learning fuzzy cognitive maps using evolution strategies: a novel schema for modeling and simulating high-level behavior. In: Proceedings of the IEEE Congress on Evolutionary Computation, pp. 364–371 (2001)
35.
Zurück zum Zitat Lin, C.: An immune algorithm for complex fuzzy cognitive map partitioning. In: proceeding of Genetic and Evolutionary Computation Conference, GEC Summit 2009, Shanghai, China (2009) Lin, C.: An immune algorithm for complex fuzzy cognitive map partitioning. In: proceeding of Genetic and Evolutionary Computation Conference, GEC Summit 2009, Shanghai, China (2009)
37.
Zurück zum Zitat Luo, X., Wei, X., Zhang, J.: Game-based learning model using fuzzy cognitive map. In: 1st ACM International Workshop on Multimedia Technologies for Distance Learning, Co-located with the 2009 ACM International Conference on Multimedia, pp. 67–76 (2009) Luo, X., Wei, X., Zhang, J.: Game-based learning model using fuzzy cognitive map. In: 1st ACM International Workshop on Multimedia Technologies for Distance Learning, Co-located with the 2009 ACM International Conference on Multimedia, pp. 67–76 (2009)
38.
Zurück zum Zitat Madeiro, S.S., Von Zuben, F.J.: Gradient-based algorithms for the automatic construction of fuzzy cognitive maps. In: 11th International Conference on Machine Learning and Applications (2012) Madeiro, S.S., Von Zuben, F.J.: Gradient-based algorithms for the automatic construction of fuzzy cognitive maps. In: 11th International Conference on Machine Learning and Applications (2012)
39.
Zurück zum Zitat Mateou, N.H., Andreou, A.S.: A framework for developing intelligent decision support systems using evolutionary fuzzy cognitive maps. J. Intell. Fuzzy Syst. 19, 151–170 (2008)MATH Mateou, N.H., Andreou, A.S.: A framework for developing intelligent decision support systems using evolutionary fuzzy cognitive maps. J. Intell. Fuzzy Syst. 19, 151–170 (2008)MATH
40.
Zurück zum Zitat Miao, Y., Liu, Z.Q., Siew, C.K., Miao, C.Y.: Dynamical cognitive network: an extension of fuzzy cognitive map. IEEE Trans. Fuzzy Syst. 9, 760–770 (2001)CrossRef Miao, Y., Liu, Z.Q., Siew, C.K., Miao, C.Y.: Dynamical cognitive network: an extension of fuzzy cognitive map. IEEE Trans. Fuzzy Syst. 9, 760–770 (2001)CrossRef
41.
Zurück zum Zitat Papageorgiou, E.I., Froelich, W.: Multi-step prediction of pulmonary infection with the use of evolutionary fuzzy cognitive maps. Neurocomputing 92, 28–35 (2012)CrossRef Papageorgiou, E.I., Froelich, W.: Multi-step prediction of pulmonary infection with the use of evolutionary fuzzy cognitive maps. Neurocomputing 92, 28–35 (2012)CrossRef
42.
Zurück zum Zitat Papageorgiou, E.I., Groumpos, P.P.: A new hybrid learning algorithm for fuzzy cognitive maps learning. Appl. Soft Comput. 5, 409–431 (2005)CrossRef Papageorgiou, E.I., Groumpos, P.P.: A new hybrid learning algorithm for fuzzy cognitive maps learning. Appl. Soft Comput. 5, 409–431 (2005)CrossRef
43.
Zurück zum Zitat Papageorgiou, E.I., Parsopoulos, K.E., Stylios, C.D., Groumpos, P.P., Vrahatis, M.N.: Fuzzy cognitive maps learning using particle swarm optimization. Int. J. Intell. Inf. Syst. 25(1), 95–121 (2005)CrossRef Papageorgiou, E.I., Parsopoulos, K.E., Stylios, C.D., Groumpos, P.P., Vrahatis, M.N.: Fuzzy cognitive maps learning using particle swarm optimization. Int. J. Intell. Inf. Syst. 25(1), 95–121 (2005)CrossRef
44.
Zurück zum Zitat Papageorgiou, E.I.: A new methodology for decisions in medical informatics using fuzzy cognitive maps based on fuzzy rule-extraction techniques. Appl. Soft Comput. 11, 500–513 (2011)CrossRef Papageorgiou, E.I.: A new methodology for decisions in medical informatics using fuzzy cognitive maps based on fuzzy rule-extraction techniques. Appl. Soft Comput. 11, 500–513 (2011)CrossRef
45.
Zurück zum Zitat Papageorgiou, E.I.: Learning algorithms for fuzzy cognitive maps: a review study. IEEE Trans. SMC Part C. 42(2), 150–163 (2012) Papageorgiou, E.I.: Learning algorithms for fuzzy cognitive maps: a review study. IEEE Trans. SMC Part C. 42(2), 150–163 (2012)
46.
Zurück zum Zitat Papageorgiou, E.I., Kontogianni, A.: Using fuzzy cognitive mapping in environmental decision making and management: a methodological primer and an application, in book: International Perspectives on Global Environmental Change, Eds: Stephen S. Young and Steven E. Silvern, pp. 427–450 (2012) ISBN 978-953-307-815-1 Papageorgiou, E.I., Kontogianni, A.: Using fuzzy cognitive mapping in environmental decision making and management: a methodological primer and an application, in book: International Perspectives on Global Environmental Change, Eds: Stephen S. Young and Steven E. Silvern, pp. 427–450 (2012) ISBN 978-953-307-815-1
47.
Zurück zum Zitat Papageorgiou, E.I., Froelich, W.: Application of evolutionary fuzzy cognitive maps for prediction of pneumonia state. IEEE Trans. Inf. Technol. Biomed. 16(1), 143–149 (2012) Papageorgiou, E.I., Froelich, W.: Application of evolutionary fuzzy cognitive maps for prediction of pneumonia state. IEEE Trans. Inf. Technol. Biomed. 16(1), 143–149 (2012)
48.
Zurück zum Zitat Papageorgiou, E.I., Groumpos, P.P.: A weight adaptation method for fine-tuning fuzzy cognitive map causal links. Soft Comput. J. 9, 846–857 (2005)CrossRefMATH Papageorgiou, E.I., Groumpos, P.P.: A weight adaptation method for fine-tuning fuzzy cognitive map causal links. Soft Comput. J. 9, 846–857 (2005)CrossRefMATH
49.
Zurück zum Zitat Papageorgiou, E.I., Salmeron, J.L.: A review of fuzzy cognitive maps research during the last decade. IEEE Trans. Fuzzy Syst. 21(1), 66-79 (2013) Papageorgiou, E.I., Salmeron, J.L.: A review of fuzzy cognitive maps research during the last decade. IEEE Trans. Fuzzy Syst. 21(1), 66-79 (2013)
50.
Zurück zum Zitat Papageorgiou, E.I., Spyridonos, P., Glotsos, D., Stylios, C.D., Groumpos, P.P., Nikiforidis, G.: Brain tumor characterization using the soft computing technique of fuzzy cognitive maps. Appl. Soft Comput. 8, 820–828 (2008)CrossRef Papageorgiou, E.I., Spyridonos, P., Glotsos, D., Stylios, C.D., Groumpos, P.P., Nikiforidis, G.: Brain tumor characterization using the soft computing technique of fuzzy cognitive maps. Appl. Soft Comput. 8, 820–828 (2008)CrossRef
51.
Zurück zum Zitat Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Fuzzy cognitive map learning based on nonlinear Hebbian rule. Lecture Notes in Computer Science, vol. 2903, pp. 256–268 (2003) Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Fuzzy cognitive map learning based on nonlinear Hebbian rule. Lecture Notes in Computer Science, vol. 2903, pp. 256–268 (2003)
52.
Zurück zum Zitat Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Active Hebbian learning algorithm to train fuzzy cognitive maps. Int. J. Approx. Reason. 37, 219249 (2004)MathSciNetCrossRef Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Active Hebbian learning algorithm to train fuzzy cognitive maps. Int. J. Approx. Reason. 37, 219249 (2004)MathSciNetCrossRef
53.
Zurück zum Zitat Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Unsupervised learning techniques for fine-tuning fuzzy cognitive map causal links. Int. J. Human Comput. Stud. 64, 727–743 (2006)CrossRef Papageorgiou, E.I., Stylios, C.D., Groumpos, P.P.: Unsupervised learning techniques for fine-tuning fuzzy cognitive map causal links. Int. J. Human Comput. Stud. 64, 727–743 (2006)CrossRef
54.
Zurück zum Zitat Papakostas, G.A., Koulouriotis, D.E., Polydoros, A.S., Tourassis, V.D.: Towards Hebbian learning of fuzzy cognitive maps in pattern classification problems. Expert Syst. Appl. 39(12), 10620–10629 (2012)CrossRef Papakostas, G.A., Koulouriotis, D.E., Polydoros, A.S., Tourassis, V.D.: Towards Hebbian learning of fuzzy cognitive maps in pattern classification problems. Expert Syst. Appl. 39(12), 10620–10629 (2012)CrossRef
55.
Zurück zum Zitat Papakostas, G.A., Polydoros, A.S., Koulouriotis, D.E., Tourassis, V.D.: Training fuzzy cognitive maps by using Hebbian learning algorithms: a comparative study. IEEE Int. Conf. Fuzzy Syst. (FUZZ) 2011, 851–858 (2011) Papakostas, G.A., Polydoros, A.S., Koulouriotis, D.E., Tourassis, V.D.: Training fuzzy cognitive maps by using Hebbian learning algorithms: a comparative study. IEEE Int. Conf. Fuzzy Syst. (FUZZ) 2011, 851–858 (2011)
56.
Zurück zum Zitat Park, K.S., Kim, S.H.: Fuzzy cognitive maps considering time relationships. Int. J. Human Comput. Stud. 42(2), 157–168 (1995)CrossRef Park, K.S., Kim, S.H.: Fuzzy cognitive maps considering time relationships. Int. J. Human Comput. Stud. 42(2), 157–168 (1995)CrossRef
57.
Zurück zum Zitat Pedrycz, W.: The design of cognitive maps: a study in synergy of granular computing and evolutionary optimization. Expert Syst. Appl. 37(10), 7288–7294 (2010)CrossRef Pedrycz, W.: The design of cognitive maps: a study in synergy of granular computing and evolutionary optimization. Expert Syst. Appl. 37(10), 7288–7294 (2010)CrossRef
58.
Zurück zum Zitat Peng, Z., Yang, B., Fang, W.: A learning algorithm of fuzzy cognitive map in document classification. In: Proceedings of 5th International Conference on Fuzzy Systems and Knowledge, Discovery, vol. 1, pp. 501–504 (2008) Peng, Z., Yang, B., Fang, W.: A learning algorithm of fuzzy cognitive map in document classification. In: Proceedings of 5th International Conference on Fuzzy Systems and Knowledge, Discovery, vol. 1, pp. 501–504 (2008)
59.
Zurück zum Zitat Petalas, Y.G., Papageorgiou, E.I., Parsopoulos, K.E., Groumpos, P.P., Vrahatis, M.N.: Fuzzy cognitive maps learning using memetic algorithms. In: Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) (2005) Petalas, Y.G., Papageorgiou, E.I., Parsopoulos, K.E., Groumpos, P.P., Vrahatis, M.N.: Fuzzy cognitive maps learning using memetic algorithms. In: Proceedings of the International Conference of Computational Methods in Sciences and Engineering (ICCMSE) (2005)
60.
Zurück zum Zitat Ren, Z.: Learning fuzzy cognitive maps by a hybrid method using nonlinear Hebbian learning and extended great deluge. In: Proceedings of the 23rd Midwest Artificial Intelligence and Cognitive Science Conference (2012) Ren, Z.: Learning fuzzy cognitive maps by a hybrid method using nonlinear Hebbian learning and extended great deluge. In: Proceedings of the 23rd Midwest Artificial Intelligence and Cognitive Science Conference (2012)
61.
Zurück zum Zitat Rodriguez-Repiso, L., Setchi, R., Salmeron, J.L.: Modelling IT projects success with fuzzy cognitive maps. Expert Syst. Appl. 32, 543559 (2007)CrossRef Rodriguez-Repiso, L., Setchi, R., Salmeron, J.L.: Modelling IT projects success with fuzzy cognitive maps. Expert Syst. Appl. 32, 543559 (2007)CrossRef
62.
Zurück zum Zitat Ruan, D., Mkrtchyan, L.: Using belief degree-distributed fuzzy cognitive maps for safety culture assessment. Adv. Intell. Soft Comput. 124, 501–510 (2011)CrossRef Ruan, D., Mkrtchyan, L.: Using belief degree-distributed fuzzy cognitive maps for safety culture assessment. Adv. Intell. Soft Comput. 124, 501–510 (2011)CrossRef
63.
Zurück zum Zitat Salmeron, J.L.: Supporting decision makers with fuzzy cognitive maps. Res. Technol. Manage. 52(3), 53–59 (2009)MathSciNet Salmeron, J.L.: Supporting decision makers with fuzzy cognitive maps. Res. Technol. Manage. 52(3), 53–59 (2009)MathSciNet
64.
Zurück zum Zitat Salmeron, J.L.: Augmented fuzzy cognitive maps for modelling LMS critical success factors. Knowl. Based Syst. 22(4), 275–278 (2009)MathSciNetCrossRef Salmeron, J.L.: Augmented fuzzy cognitive maps for modelling LMS critical success factors. Knowl. Based Syst. 22(4), 275–278 (2009)MathSciNetCrossRef
65.
Zurück zum Zitat Salmeron, J.L.: Modelling grey uncertainty with fuzzy grey cognitive maps. Expert Syst. Appl. 37(12), 7581–7588 (2010)CrossRef Salmeron, J.L.: Modelling grey uncertainty with fuzzy grey cognitive maps. Expert Syst. Appl. 37(12), 7581–7588 (2010)CrossRef
66.
Zurück zum Zitat Salmeron, J.L.: Fuzzy cognitive maps for artificial emotions forecasting. App. Soft Comput. 12(12), 37043710 (2012) Salmeron, J.L.: Fuzzy cognitive maps for artificial emotions forecasting. App. Soft Comput. 12(12), 37043710 (2012)
67.
Zurück zum Zitat Salmeron, J.L., Lopez, C.: Forecasting risk impact on ERP maintenance with augmented fuzzy cognitive maps. IEEE Trans. Softw. Eng. 38(2), 439–452 (2012)CrossRef Salmeron, J.L., Lopez, C.: Forecasting risk impact on ERP maintenance with augmented fuzzy cognitive maps. IEEE Trans. Softw. Eng. 38(2), 439–452 (2012)CrossRef
68.
Zurück zum Zitat Salmeron, J.L., Papageorgiou, E.I.: A fuzzy grey cognitive maps-based decision support system for radiotherapy treatment planning. Knowl. Based Syst. 30(1), 151–160 (2012)MathSciNetCrossRef Salmeron, J.L., Papageorgiou, E.I.: A fuzzy grey cognitive maps-based decision support system for radiotherapy treatment planning. Knowl. Based Syst. 30(1), 151–160 (2012)MathSciNetCrossRef
69.
Zurück zum Zitat Salmeron, J.L., Vidal, R., Mena, A.: Ranking fuzzy cognitive map based scenarios with TOPSIS. Expert Syst. Appl. 39(3), 2443–2450 (2012)CrossRef Salmeron, J.L., Vidal, R., Mena, A.: Ranking fuzzy cognitive map based scenarios with TOPSIS. Expert Syst. Appl. 39(3), 2443–2450 (2012)CrossRef
70.
Zurück zum Zitat Schneider, M., Shnaider, E., Kandel, A., Chew, G.: Automatic construction of FCMs. Fuzzy Sets Syst. 93(2), 161–172 (1998)CrossRef Schneider, M., Shnaider, E., Kandel, A., Chew, G.: Automatic construction of FCMs. Fuzzy Sets Syst. 93(2), 161–172 (1998)CrossRef
71.
Zurück zum Zitat Slon, G., Yastrebov, A.: Optimization and adaptation of dynamic models of fuzzy relational cognitive maps. Lecture Notes in Artificial Intelligence, LNAI, vol. 6743, pp. 95–102 (2011) Slon, G., Yastrebov, A.: Optimization and adaptation of dynamic models of fuzzy relational cognitive maps. Lecture Notes in Artificial Intelligence, LNAI, vol. 6743, pp. 95–102 (2011)
72.
Zurück zum Zitat Song, H.J., Miao, C.Y., Wuyts, R., Shen, Z.Q., D’Hondt, M., Catthoor, F.: An extension to fuzzy cognitive maps for classification and prediction. IEEE Trans. Fuzzy Syst. 19(1), 116–135 (2011)CrossRef Song, H.J., Miao, C.Y., Wuyts, R., Shen, Z.Q., D’Hondt, M., Catthoor, F.: An extension to fuzzy cognitive maps for classification and prediction. IEEE Trans. Fuzzy Syst. 19(1), 116–135 (2011)CrossRef
74.
Zurück zum Zitat Stach, W., Kurgan, L., Pedrycz, W., Reformat, M.: Genetic learning of fuzzy cognitive maps. Fuzzy Sets Syst. 53, 371–401 (2005)MathSciNetCrossRef Stach, W., Kurgan, L., Pedrycz, W., Reformat, M.: Genetic learning of fuzzy cognitive maps. Fuzzy Sets Syst. 53, 371–401 (2005)MathSciNetCrossRef
75.
Zurück zum Zitat Stach, W., Kurgan, L., Pedrycz, W.: Parallel learning of large fuzzy cognitive maps. In: Proceedings of the International Joint Conference on, Neural Networks, pp. 1584–1589 (2007) Stach, W., Kurgan, L., Pedrycz, W.: Parallel learning of large fuzzy cognitive maps. In: Proceedings of the International Joint Conference on, Neural Networks, pp. 1584–1589 (2007)
76.
Zurück zum Zitat Stach, W., Kurgan, L.A., Pedrycz, W.; Data-driven nonlinear Hebbian learning method for fuzzy cognitive maps. In: Proceedings of the World Congress on, Computational Intelligence, pp. 1975–1981 (2008) Stach, W., Kurgan, L.A., Pedrycz, W.; Data-driven nonlinear Hebbian learning method for fuzzy cognitive maps. In: Proceedings of the World Congress on, Computational Intelligence, pp. 1975–1981 (2008)
77.
Zurück zum Zitat Stach, W., Kurgan, L., Pedrycz, W., Reformat, M.: Learning fuzzy cognitive maps with required precision using genetic algorithm approach. Electron. Lett. 40(24), 1519–1520 (2004)CrossRef Stach, W., Kurgan, L., Pedrycz, W., Reformat, M.: Learning fuzzy cognitive maps with required precision using genetic algorithm approach. Electron. Lett. 40(24), 1519–1520 (2004)CrossRef
78.
Zurück zum Zitat Stach, W., Pedrycz, W., Kurgan, L.A.: Learning of fuzzy cognitive maps using density estimate. IEEE Trans. Syst. Man Cybern. Part B Cybern. 42(3), 900–912 (2012)CrossRef Stach, W., Pedrycz, W., Kurgan, L.A.: Learning of fuzzy cognitive maps using density estimate. IEEE Trans. Syst. Man Cybern. Part B Cybern. 42(3), 900–912 (2012)CrossRef
79.
Zurück zum Zitat Stylios, C.D., Groumpos, P.P.: Modeling complex systems using fuzzy cognitive maps. IEEE Trans. Syst. Man Cybern. Part A 34, 155–162 (2004) Stylios, C.D., Groumpos, P.P.: Modeling complex systems using fuzzy cognitive maps. IEEE Trans. Syst. Man Cybern. Part A 34, 155–162 (2004)
80.
Zurück zum Zitat Taber, R.: Knowledge processing with fuzzy cognitive maps. Expert Syst. Appl. 2, 83–87 (1991)CrossRef Taber, R.: Knowledge processing with fuzzy cognitive maps. Expert Syst. Appl. 2, 83–87 (1991)CrossRef
81.
Zurück zum Zitat Taber, R., Yager, R.R., Helgason, C.M.: Quantization effects on the equilibrium behavior of combined fuzzy cognitive maps. Int. J. Intell. Syst. 22, 181–202 (2007)CrossRefMATH Taber, R., Yager, R.R., Helgason, C.M.: Quantization effects on the equilibrium behavior of combined fuzzy cognitive maps. Int. J. Intell. Syst. 22, 181–202 (2007)CrossRefMATH
82.
Zurück zum Zitat Tsadiras, A.K., Kouskouvelis, I., Margaritis, K.G.: Using fuzzy cognitive maps as a decision support system for political decisions. Lecture Notes in Computer Science, vol. 2563, pp. 172–181. Springer, Boston (2003) Tsadiras, A.K., Kouskouvelis, I., Margaritis, K.G.: Using fuzzy cognitive maps as a decision support system for political decisions. Lecture Notes in Computer Science, vol. 2563, pp. 172–181. Springer, Boston (2003)
83.
Zurück zum Zitat Tsadiras, A.K.: Comparing the inference capabilities of binary, trivalent and sigmoid fuzzy cognitive maps. Inf. Sci. 178(20), 3880–3894 (2008)CrossRef Tsadiras, A.K.: Comparing the inference capabilities of binary, trivalent and sigmoid fuzzy cognitive maps. Inf. Sci. 178(20), 3880–3894 (2008)CrossRef
84.
Zurück zum Zitat Vascak, J.: Approaches in adaptation of fuzzy cognitive maps for navigation purposes. In: Proceedings SAMI 2010–8th International Symposium on Applied Machine Intelligence and Informatics, art. no. 5423716, pp. 31–36 (2010) Vascak, J.: Approaches in adaptation of fuzzy cognitive maps for navigation purposes. In: Proceedings SAMI 2010–8th International Symposium on Applied Machine Intelligence and Informatics, art. no. 5423716, pp. 31–36 (2010)
85.
Zurück zum Zitat Xirogiannis, G., Glykas, M.: Fuzzy cognitive maps in business analysis and performance-driven change. IEEE Trans. Eng. Manage. 51, 334351 (2004)CrossRef Xirogiannis, G., Glykas, M.: Fuzzy cognitive maps in business analysis and performance-driven change. IEEE Trans. Eng. Manage. 51, 334351 (2004)CrossRef
86.
Zurück zum Zitat Yastrebov, A., Piotrowska, K.: Simulation analysis of multistep algorithms of relational cognitive maps learning. In: Yastrebov, A., Kuźmińska-Sołśnia, B., Raczynska, M. (eds.) Computer Technologies in Science, Technology and Education. Institute for Sustainable Technologies–National Research Institute, Radom, pp. 126–137 (2012) Yastrebov, A., Piotrowska, K.: Simulation analysis of multistep algorithms of relational cognitive maps learning. In: Yastrebov, A., Kuźmińska-Sołśnia, B., Raczynska, M. (eds.) Computer Technologies in Science, Technology and Education. Institute for Sustainable Technologies–National Research Institute, Radom, pp. 126–137 (2012)
87.
Zurück zum Zitat Yesil, E., Urbas, L.: Big bang: big crunch learning method for fuzzy cognitive maps. World Acad. Sci. Eng. Technol. 71, 815–8124 (2010) Yesil, E., Urbas, L.: Big bang: big crunch learning method for fuzzy cognitive maps. World Acad. Sci. Eng. Technol. 71, 815–8124 (2010)
88.
Zurück zum Zitat Zhu, Y., Zhang, W.: An integrated framework for learning fuzzy cognitive map using RCGA and NHL algorithm. In: International Conference on Wireless Communications, Networking and Mobile Computing, WiCOM (2008) Zhu, Y., Zhang, W.: An integrated framework for learning fuzzy cognitive map using RCGA and NHL algorithm. In: International Conference on Wireless Communications, Networking and Mobile Computing, WiCOM (2008)
89.
Zurück zum Zitat Zhaowei, R.: Learning fuzzy cognitive maps by a hybrid method using nonlinear Hebbian learning and extended Great Deluge algorithm. In: Association for the Advancement of Artificial Intelligence (www.aaai.org) (2012) Zhaowei, R.: Learning fuzzy cognitive maps by a hybrid method using nonlinear Hebbian learning and extended Great Deluge algorithm. In: Association for the Advancement of Artificial Intelligence (www.​aaai.​org) (2012)
Metadaten
Titel
Methods and Algorithms for Fuzzy Cognitive Map-based Modeling
verfasst von
Elpiniki I. Papageorgiou
Jose L. Salmeron
Copyright-Jahr
2014
Verlag
Springer Berlin Heidelberg
DOI
https://doi.org/10.1007/978-3-642-39739-4_1