Skip to main content
Erschienen in: Neural Computing and Applications 2/2011

01.03.2011 | Original Article

Fuzzy wavelet neural network based on fuzzy clustering and gradient techniques for time series prediction

verfasst von: Rahib H. Abiyev

Erschienen in: Neural Computing and Applications | Ausgabe 2/2011

Einloggen

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

search-config
loading …

Abstract

This paper presents the development of fuzzy wavelet neural network system for time series prediction that combines the advantages of fuzzy systems and wavelet neural network. The structure of fuzzy wavelet neural network (FWNN) is proposed, and its learning algorithm is derived. The proposed network is constructed on the base of a set of TSK fuzzy rules that includes a wavelet function in the consequent part of each rule. A fuzzy c-means clustering algorithm is implemented to generate the rules, that is the structure of FWNN prediction model, automatically, and the gradient-learning algorithm is used for parameter identification. The use of fuzzy c-means clustering algorithm with the gradient algorithm allows to improve convergence of learning algorithm. FWNN is used for modeling and prediction of complex time series and prediction of foreign-exchange rates. Exchange rates are dynamic process that changes every day and have high-order nonlinearity. The statistical data for the last 2 years are used for the development of FWNN prediction model. Effectiveness of the proposed system is evaluated with the results obtained from the simulation of FWNN-based systems and with the comparative simulation results of previous related models.

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

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!

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+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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
1.
Zurück zum Zitat Box GEP (1970) Time series analysis, forecasting and control. Holden Day, San FranciscoMATH Box GEP (1970) Time series analysis, forecasting and control. Holden Day, San FranciscoMATH
2.
Zurück zum Zitat So MKP, Lam K, Li WK (1999) Forecasting exchange rate volatility using autoregressive random variance model. Appl Financial Econ 9:583–591CrossRef So MKP, Lam K, Li WK (1999) Forecasting exchange rate volatility using autoregressive random variance model. Appl Financial Econ 9:583–591CrossRef
3.
Zurück zum Zitat Hsieh DA (1989) Modeling heteroscedasticity in daily foreign-exchange rates. J Bus Econ Stat 7:307–317CrossRef Hsieh DA (1989) Modeling heteroscedasticity in daily foreign-exchange rates. J Bus Econ Stat 7:307–317CrossRef
4.
Zurück zum Zitat Bollerslev T (1990) Modeling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. Rev Econ Stat 72:498–505CrossRef Bollerslev T (1990) Modeling the coherence in short-run nominal exchange rates: a multivariate generalized ARCH model. Rev Econ Stat 72:498–505CrossRef
5.
Zurück zum Zitat Huang W, Lai KK, Nakamori Y, Wang S (2004) Forecasting the foreign exchange rates with artificial neural networks: a review. Intl J Inf Tech Decis Mak 3(1):145–165CrossRef Huang W, Lai KK, Nakamori Y, Wang S (2004) Forecasting the foreign exchange rates with artificial neural networks: a review. Intl J Inf Tech Decis Mak 3(1):145–165CrossRef
6.
Zurück zum Zitat Maddala GS (1996) Introduction to econometrics. Prentice-Hall, Englewood Cliffs Maddala GS (1996) Introduction to econometrics. Prentice-Hall, Englewood Cliffs
7.
Zurück zum Zitat Chen Y, Yang B, Dong J, Abraham A (2004) Nonlinear system modelling via optimal design of neural trees. Int J Neural Syst 14(2):125–137CrossRef Chen Y, Yang B, Dong J, Abraham A (2004) Nonlinear system modelling via optimal design of neural trees. Int J Neural Syst 14(2):125–137CrossRef
8.
Zurück zum Zitat Kim K-j, Lee WB (2004) Stock market prediction using artificial neural networks with optimal feature transformation. Neural Comput Appl 13(3):255–260CrossRef Kim K-j, Lee WB (2004) Stock market prediction using artificial neural networks with optimal feature transformation. Neural Comput Appl 13(3):255–260CrossRef
9.
Zurück zum Zitat Sfetsos A, Siriopoulos C (2004) Combinatorial time series forecasting based on clustering algorithms and neural networks. Neural Comput Appl 13(1):56–64CrossRef Sfetsos A, Siriopoulos C (2004) Combinatorial time series forecasting based on clustering algorithms and neural networks. Neural Comput Appl 13(1):56–64CrossRef
10.
Zurück zum Zitat Maqsood I, Khan MR, Abraham A (2004) An ensemble of neural networks for weather forecasting. Neural Comput Appl 13(2):112–122 Maqsood I, Khan MR, Abraham A (2004) An ensemble of neural networks for weather forecasting. Neural Comput Appl 13(2):112–122
11.
Zurück zum Zitat Thomas B, Soleimani-Mohseni M (2007) Artificial neural network models for indoor temperature prediction: investigations in two buildings. Neural Comput Appl 16(1):81–89 Thomas B, Soleimani-Mohseni M (2007) Artificial neural network models for indoor temperature prediction: investigations in two buildings. Neural Comput Appl 16(1):81–89
12.
Zurück zum Zitat Górriz JM, Puntonet CG, Salmerón M, de la Rosa JJG (2004) A new model for time-series forecasting using radial basis functions and exogenous data. Neural Comput Appl 13(2):101–111 Górriz JM, Puntonet CG, Salmerón M, de la Rosa JJG (2004) A new model for time-series forecasting using radial basis functions and exogenous data. Neural Comput Appl 13(2):101–111
13.
Zurück zum Zitat Sun YF, Liang YC, Zhang WL, Lee HP, Lin WZ, Cao LJ (2005) Optimal partition algorithm of the RBF neural network and its application to financial time series forecasting. Neural Comput Appl 14(1):36–44CrossRef Sun YF, Liang YC, Zhang WL, Lee HP, Lin WZ, Cao LJ (2005) Optimal partition algorithm of the RBF neural network and its application to financial time series forecasting. Neural Comput Appl 14(1):36–44CrossRef
14.
Zurück zum Zitat Garg S, Pal SK (2007) Evaluation of the performance of backpropagation and radial basis function neural networks in predicting the drill flank wear. Neural Comput Appl 16(4–5):407–417 Garg S, Pal SK (2007) Evaluation of the performance of backpropagation and radial basis function neural networks in predicting the drill flank wear. Neural Comput Appl 16(4–5):407–417
15.
Zurück zum Zitat Hocaoglu FO, Oysal Y, Kurban M (2009) Missing wind data forecasting with adaptive neuro-fuzzy inference system. Neural Comput Appl 18(3):207–212 Hocaoglu FO, Oysal Y, Kurban M (2009) Missing wind data forecasting with adaptive neuro-fuzzy inference system. Neural Comput Appl 18(3):207–212
16.
Zurück zum Zitat Gholipour A, Lucas C, Araabi BN, Mirmomeni M, Shafiee M (2007) Extracting the main patterns of natural time series for long-term neurofuzzy prediction. Neural Comput Appl 16(4–5):383–393 Gholipour A, Lucas C, Araabi BN, Mirmomeni M, Shafiee M (2007) Extracting the main patterns of natural time series for long-term neurofuzzy prediction. Neural Comput Appl 16(4–5):383–393
17.
Zurück zum Zitat Weigend AS, Huberman BA, Rumelhart DE (1992) Predicting sunspots and exchange rates with connectionist networks. In: Casdagli M, Eubank S (eds) Nonlinear modeling and forecasting. Addison-Wesley, Redwood City, CA, pp 395–432 Weigend AS, Huberman BA, Rumelhart DE (1992) Predicting sunspots and exchange rates with connectionist networks. In: Casdagli M, Eubank S (eds) Nonlinear modeling and forecasting. Addison-Wesley, Redwood City, CA, pp 395–432
18.
Zurück zum Zitat Refenes AN (1993) Constructive learning and its application to currency exchange rate forecasting. In: Trippi R, Turban E (eds) Neural networks in finance and investing: using artificial intelligence to improve real-world performance. Probus, Chicago, pp 777–805 Refenes AN (1993) Constructive learning and its application to currency exchange rate forecasting. In: Trippi R, Turban E (eds) Neural networks in finance and investing: using artificial intelligence to improve real-world performance. Probus, Chicago, pp 777–805
19.
Zurück zum Zitat Refenes AN, Azema-Barac M, Chen L, Karoussos SA (1993) Currency exchange rate prediction and neural network design strategies. Neural Comput Appl 1:46–58CrossRef Refenes AN, Azema-Barac M, Chen L, Karoussos SA (1993) Currency exchange rate prediction and neural network design strategies. Neural Comput Appl 1:46–58CrossRef
20.
Zurück zum Zitat Kuan CM, Liu T (1995) Forecasting exchange rates using feedforward and recurrent neural networks. J Appl Econom 10:347–364CrossRef Kuan CM, Liu T (1995) Forecasting exchange rates using feedforward and recurrent neural networks. J Appl Econom 10:347–364CrossRef
21.
Zurück zum Zitat Hann TH, Steurer E (1996) Much ado about nothing? Exchange rate forecasting: neural networks versus linear models using monthly and weekly data. Neurocomputing 10:323–339MATHCrossRef Hann TH, Steurer E (1996) Much ado about nothing? Exchange rate forecasting: neural networks versus linear models using monthly and weekly data. Neurocomputing 10:323–339MATHCrossRef
22.
Zurück zum Zitat Episcopos A, Davis J (1996) Predicting returns on Canadian exchange rates with artificial neural networks and EGARCHM-M model. Neural Comput Appl 4:168–174CrossRef Episcopos A, Davis J (1996) Predicting returns on Canadian exchange rates with artificial neural networks and EGARCHM-M model. Neural Comput Appl 4:168–174CrossRef
23.
Zurück zum Zitat Yager RR, Zadeh LA (eds) (1994) Fuzzy sets, neural networks and soft computing. Van Nostrand Reinhold, New YorkMATH Yager RR, Zadeh LA (eds) (1994) Fuzzy sets, neural networks and soft computing. Van Nostrand Reinhold, New YorkMATH
24.
Zurück zum Zitat Jang J-SR, Sun Ch-T, Muzutani E (1997) Neuro-fuzzy and soft computing: A computational approach to learning and machine intelligence. Prentice Hall, Upper Saddle River, NJ Jang J-SR, Sun Ch-T, Muzutani E (1997) Neuro-fuzzy and soft computing: A computational approach to learning and machine intelligence. Prentice Hall, Upper Saddle River, NJ
25.
Zurück zum Zitat Kugarajah T, Zhang Q (1995) Multidimensional wavelet frames. IEEE Trans Neural Netw 6:1552–1556CrossRef Kugarajah T, Zhang Q (1995) Multidimensional wavelet frames. IEEE Trans Neural Netw 6:1552–1556CrossRef
26.
Zurück zum Zitat Zhang Q, Benviste A (1995) Wavelet networks. IEEE Trans Neural Netw 3:889–898CrossRef Zhang Q, Benviste A (1995) Wavelet networks. IEEE Trans Neural Netw 3:889–898CrossRef
27.
Zurück zum Zitat Zhang J, Walter GG, Wayne Lee WN (1995) Wavelet neural networks for function learning. IEEE Trans Signal Process 43(6):1485–1497CrossRef Zhang J, Walter GG, Wayne Lee WN (1995) Wavelet neural networks for function learning. IEEE Trans Signal Process 43(6):1485–1497CrossRef
28.
Zurück zum Zitat Postalcioglu S, Becerikli Y (2007) Wavelet networks for nonlinear system modelling. Neural Comput Appl 16(4–5):433–441 Postalcioglu S, Becerikli Y (2007) Wavelet networks for nonlinear system modelling. Neural Comput Appl 16(4–5):433–441
29.
Zurück zum Zitat Lotric U, Dobnikar A (2005) Predicting time series using neural networks with wavelet-based denoising layers. Neural Comput Appl 14(1):11–17CrossRef Lotric U, Dobnikar A (2005) Predicting time series using neural networks with wavelet-based denoising layers. Neural Comput Appl 14(1):11–17CrossRef
30.
Zurück zum Zitat Cao L, Hong Y, Fang H, He G (1995) Predicting chaotic time series with wavelet networks. Physica D 85:225–238MATHCrossRef Cao L, Hong Y, Fang H, He G (1995) Predicting chaotic time series with wavelet networks. Physica D 85:225–238MATHCrossRef
31.
Zurück zum Zitat Chang PR, Weihui F, Minjun Y (1998) Short term load forecasting using wavelet networks. Eng Intell Syst Electr Eng Commun 6:217–230 Chang PR, Weihui F, Minjun Y (1998) Short term load forecasting using wavelet networks. Eng Intell Syst Electr Eng Commun 6:217–230
32.
Zurück zum Zitat Khao TQD, Phuong LM, Binh PTT, Lien NTH (2004) Application of wavelet and neural network to long-term load forecasting. International Conference on Power System technology, POWERCON 2004, pp 840–844, Singapore Khao TQD, Phuong LM, Binh PTT, Lien NTH (2004) Application of wavelet and neural network to long-term load forecasting. International Conference on Power System technology, POWERCON 2004, pp 840–844, Singapore
33.
Zurück zum Zitat Thuillard M (2000) Fuzzy logic in the wavelet framework. Proc Toolmet’2000, April 13–14, Oulu Thuillard M (2000) Fuzzy logic in the wavelet framework. Proc Toolmet’2000, April 13–14, Oulu
34.
Zurück zum Zitat Thuillard M (2001) Wavelets in softcomputing. World Scientific Press, SingaporeCrossRef Thuillard M (2001) Wavelets in softcomputing. World Scientific Press, SingaporeCrossRef
35.
Zurück zum Zitat Lin CK, Wang SD (1996) Fuzzy modelling using wavelet transform. Electron Lett 32:2255–2256CrossRef Lin CK, Wang SD (1996) Fuzzy modelling using wavelet transform. Electron Lett 32:2255–2256CrossRef
36.
Zurück zum Zitat Lin Y, Wang FY (2005) Predicting chaotic time series using adaptive wavelet-fuzzy inference system. In: Proceeding of IEEE intelligent vehicles symposium, Las Vegas, Nevada, USA, pp 888–893 Lin Y, Wang FY (2005) Predicting chaotic time series using adaptive wavelet-fuzzy inference system. In: Proceeding of IEEE intelligent vehicles symposium, Las Vegas, Nevada, USA, pp 888–893
37.
Zurück zum Zitat Guo QJ, Yu HB, Xu AD (2005) Wavelet fuzzy network for fault diagnosis. In: Proceedings of international conference on communications, circuits and systems. IEEE Press, pp 993–998 Guo QJ, Yu HB, Xu AD (2005) Wavelet fuzzy network for fault diagnosis. In: Proceedings of international conference on communications, circuits and systems. IEEE Press, pp 993–998
38.
Zurück zum Zitat Daniel WCH, Ping-An Z, Jinhua X (2001) Fuzzy wavelet networks for function learning. IEEE Trans Fuzzy Syst 9(1):200–211CrossRef Daniel WCH, Ping-An Z, Jinhua X (2001) Fuzzy wavelet networks for function learning. IEEE Trans Fuzzy Syst 9(1):200–211CrossRef
39.
Zurück zum Zitat Abiyev RH, Kaynak O (2008) Fuzzy wavelet neural networks for identification and control of dynamic plants—a novel structure and a comparative study. IEEE Trans Ind Electron 55(8):3133–3140CrossRef Abiyev RH, Kaynak O (2008) Fuzzy wavelet neural networks for identification and control of dynamic plants—a novel structure and a comparative study. IEEE Trans Ind Electron 55(8):3133–3140CrossRef
40.
Zurück zum Zitat Abiyev RH (2005) Controller based of fuzzy wavelet neural network for control of technological processes CIMSA 2005. In: IEEE international conference on computational intelligence for measurement systems and applications, Giardini Naxos, Italy, pp 215–219 Abiyev RH (2005) Controller based of fuzzy wavelet neural network for control of technological processes CIMSA 2005. In: IEEE international conference on computational intelligence for measurement systems and applications, Giardini Naxos, Italy, pp 215–219
41.
Zurück zum Zitat Abiyev RH (2006) Time series prediction using fuzzy wavelet neural network model. Lecture Notes in Computer Sciences, Springer, Berlin, pp 191–200 Abiyev RH (2006) Time series prediction using fuzzy wavelet neural network model. Lecture Notes in Computer Sciences, Springer, Berlin, pp 191–200
42.
Zurück zum Zitat Abiyev RH (2009) Fuzzy wavelet neural network for prediction of electricity consumption. AIEDAM: Artif Intell Eng Des Anal Manuf 23(2):109–118 Abiyev RH (2009) Fuzzy wavelet neural network for prediction of electricity consumption. AIEDAM: Artif Intell Eng Des Anal Manuf 23(2):109–118
43.
Zurück zum Zitat Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New YorkMATH Bezdek JC (1981) Pattern recognition with fuzzy objective function algorithms. Plenum Press, New YorkMATH
44.
Zurück zum Zitat Chiu SL (1994) Fuzzy model identification based on cluster estimation. J Intell Fuzzy Syst 2:267–278MathSciNet Chiu SL (1994) Fuzzy model identification based on cluster estimation. J Intell Fuzzy Syst 2:267–278MathSciNet
45.
Zurück zum Zitat Yager RR, Filev DP (1994) Generation of fuzzy rules by mountain clustering. J Intell Fuzzy Syst 2:267–278 Yager RR, Filev DP (1994) Generation of fuzzy rules by mountain clustering. J Intell Fuzzy Syst 2:267–278
46.
Zurück zum Zitat Demirli K, Muthukumaran P (2000) Higher order fuzzy system identification using subtractive clustering. J Intell Fuzzy Syst 9:129–158 Demirli K, Muthukumaran P (2000) Higher order fuzzy system identification using subtractive clustering. J Intell Fuzzy Syst 9:129–158
47.
Zurück zum Zitat Kasabov NK (2002) DENFIS: Dynamic evolving neural-fuzzy inference system and its application for time-series. IEEE Trans Syst Fuzzy Syst 10(2):144–154CrossRef Kasabov NK (2002) DENFIS: Dynamic evolving neural-fuzzy inference system and its application for time-series. IEEE Trans Syst Fuzzy Syst 10(2):144–154CrossRef
48.
Zurück zum Zitat Wang LX (1997) A course in fuzzy systems and control. Prentice Hall, NJ, pp 183–189MATH Wang LX (1997) A course in fuzzy systems and control. Prentice Hall, NJ, pp 183–189MATH
49.
Zurück zum Zitat Wang LX, Wei C (2000) Approximation accuracy of some neuro-fuzzy systems. IEEE Trans Fuzzy Syst 8(4):470–478CrossRef Wang LX, Wei C (2000) Approximation accuracy of some neuro-fuzzy systems. IEEE Trans Fuzzy Syst 8(4):470–478CrossRef
50.
Zurück zum Zitat Juang C-F (2002) A TSK-type recurrent fuzzy network for dynamic systems processing by neural network and genetic algorithm. IEEE Trans Fuzzy Syst 10:155–170CrossRef Juang C-F (2002) A TSK-type recurrent fuzzy network for dynamic systems processing by neural network and genetic algorithm. IEEE Trans Fuzzy Syst 10:155–170CrossRef
51.
Zurück zum Zitat Juang CF, Lin CT (1998) An on-line self-constructing neural fuzzy inference network and its applications. IEEE Trans Fuzzy Syst 6(1):12–31CrossRef Juang CF, Lin CT (1998) An on-line self-constructing neural fuzzy inference network and its applications. IEEE Trans Fuzzy Syst 6(1):12–31CrossRef
52.
Zurück zum Zitat Zadeh LA (1975) The concept of linguistic variable and its application to approximate reasoning. Inf Sci 8 Zadeh LA (1975) The concept of linguistic variable and its application to approximate reasoning. Inf Sci 8
53.
Zurück zum Zitat Szu H, Telfer B, Garcia J (1996) Wavelet transforms and neural networks for compression and recognition. Neural Netw 9:695–708CrossRef Szu H, Telfer B, Garcia J (1996) Wavelet transforms and neural networks for compression and recognition. Neural Netw 9:695–708CrossRef
54.
Zurück zum Zitat Ku C-C, Lee KY (1995) Diagonal recurrent neural networks for dynamic systems control. IEEE Trans Neural Netw 6:144–156CrossRef Ku C-C, Lee KY (1995) Diagonal recurrent neural networks for dynamic systems control. IEEE Trans Neural Netw 6:144–156CrossRef
55.
Zurück zum Zitat Tong RM (1980) The evaluation of fuzzy models derived from experimental data. Fuzzy Sets Syst 4:1–12MATHCrossRef Tong RM (1980) The evaluation of fuzzy models derived from experimental data. Fuzzy Sets Syst 4:1–12MATHCrossRef
56.
Zurück zum Zitat Pedtycz W (1984) An identification algorithm in fuzzy relational systems. Fuzzy Sets Syst 13:53–167 Pedtycz W (1984) An identification algorithm in fuzzy relational systems. Fuzzy Sets Syst 13:53–167
57.
Zurück zum Zitat Xu CW, Lu YZ (1987) Fuzzy model identification and self-learning for dynamic systems. IEEE Trans Syst Man Cybernet 17:683–689MATHCrossRef Xu CW, Lu YZ (1987) Fuzzy model identification and self-learning for dynamic systems. IEEE Trans Syst Man Cybernet 17:683–689MATHCrossRef
58.
Zurück zum Zitat Sugeno M, Yasukawa T (1993) A fuzzy logic based approach to qualitative modelling. IEEE Trans Fuzzy Syst 1:7–31CrossRef Sugeno M, Yasukawa T (1993) A fuzzy logic based approach to qualitative modelling. IEEE Trans Fuzzy Syst 1:7–31CrossRef
59.
Zurück zum Zitat Sugeno M, Tanaka K (1991) Successive identification of a fuzzy model and its application to prediction of complex system. Fuzzy Sets and Syst 42:315–334MATHCrossRefMathSciNet Sugeno M, Tanaka K (1991) Successive identification of a fuzzy model and its application to prediction of complex system. Fuzzy Sets and Syst 42:315–334MATHCrossRefMathSciNet
60.
Zurück zum Zitat Lin Y, Cunningham GA III (1995) A new approach to fuzzy-neural system modelling. IEEE Trans Fuzzy Syst 3:190–198CrossRef Lin Y, Cunningham GA III (1995) A new approach to fuzzy-neural system modelling. IEEE Trans Fuzzy Syst 3:190–198CrossRef
61.
Zurück zum Zitat Kim E, Park M, Ji S, Park M (1997) A new approach to fuzzy modelling. IEEE Trans Fuzzy Syst 5:328–337CrossRef Kim E, Park M, Ji S, Park M (1997) A new approach to fuzzy modelling. IEEE Trans Fuzzy Syst 5:328–337CrossRef
62.
Zurück zum Zitat Kim E, Park M, Kim S, Park M (1998) A transformed input-domain approach to fuzzy modelling. IEEE Trans Fuzzy Syst 6:596–604CrossRef Kim E, Park M, Kim S, Park M (1998) A transformed input-domain approach to fuzzy modelling. IEEE Trans Fuzzy Syst 6:596–604CrossRef
63.
Zurück zum Zitat Kim J, Kasabov NK (1999) HyFIS: adaptive neuro-fuzzy inference systems and their application to nonlinear dynamical systems. Neural Netw 12:1301–1319CrossRef Kim J, Kasabov NK (1999) HyFIS: adaptive neuro-fuzzy inference systems and their application to nonlinear dynamical systems. Neural Netw 12:1301–1319CrossRef
Metadaten
Titel
Fuzzy wavelet neural network based on fuzzy clustering and gradient techniques for time series prediction
verfasst von
Rahib H. Abiyev
Publikationsdatum
01.03.2011
Verlag
Springer-Verlag
Erschienen in
Neural Computing and Applications / Ausgabe 2/2011
Print ISSN: 0941-0643
Elektronische ISSN: 1433-3058
DOI
https://doi.org/10.1007/s00521-010-0414-4

Weitere Artikel der Ausgabe 2/2011

Neural Computing and Applications 2/2011 Zur Ausgabe