Skip to main content
Erschienen in: Soft Computing 10/2020

17.10.2019 | Methodologies and Application

Modeling autoregressive fuzzy time series data based on semi-parametric methods

verfasst von: R. Zarei, M. Gh. Akbari, J. Chachi

Erschienen in: Soft Computing | Ausgabe 10/2020

Einloggen

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

search-config
loading …

Abstract

In time series analysis, such as other statistical problems, we may confront imprecise quantity. One case is a situation in which the observations related to underlying systems are imprecise. This paper proposes a semi-parametric autoregressive model for those real-world applications whose observed data are reported by fuzzy numbers. To this end, a hybrid method including nonparametric kernel-based approach and the least absolute deviations is suggested which allows us to estimate the parameters of the model and the fuzzy nonlinear function of the innovations, simultaneously. In order to examine the performance and effectiveness of the proposed fuzzy semi-parametric time series model, some common goodness-of-fit criteria are employed. The obtained results based on a practical example of simulated fuzzy time series data indicated that the proposed method is potentially effective for predicting fuzzy time series data.

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 "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!

Literatur
Zurück zum Zitat Bosq D (1996) Nonparametric statistics for stochastic process. Springer, New YorkCrossRef Bosq D (1996) Nonparametric statistics for stochastic process. Springer, New YorkCrossRef
Zurück zum Zitat Chang PT (1997) Fuzzy seasonality forecasting. Fuzzy Sets Syst 90:1–10CrossRef Chang PT (1997) Fuzzy seasonality forecasting. Fuzzy Sets Syst 90:1–10CrossRef
Zurück zum Zitat Dubois D, Pap E, Prade H (2000) Hybrid probabilistic-possibilistic mixtures and utility functions. In: Fodor J, de Baets B, Perny P (eds) Preferences and decisions under incomplete knowledge, vol 51. Springer, Heidelberg, pp 51–73CrossRef Dubois D, Pap E, Prade H (2000) Hybrid probabilistic-possibilistic mixtures and utility functions. In: Fodor J, de Baets B, Perny P (eds) Preferences and decisions under incomplete knowledge, vol 51. Springer, Heidelberg, pp 51–73CrossRef
Zurück zum Zitat Efromovich S (1999) Nonparametric curve estimation: methods, theory and applications. Springer, New YorkMATH Efromovich S (1999) Nonparametric curve estimation: methods, theory and applications. Springer, New YorkMATH
Zurück zum Zitat Gasser T, Muller HG (1979) Kernel estimation of regression functions. In: Gasser, Rosenblatt (eds) Smoothing techniques for curve estimation. Springer, HeidelbergCrossRef Gasser T, Muller HG (1979) Kernel estimation of regression functions. In: Gasser, Rosenblatt (eds) Smoothing techniques for curve estimation. Springer, HeidelbergCrossRef
Zurück zum Zitat Guney H, Bakir MA, Aladag CH (2018) A novel stochastic seasonal fuzzy time series forecasting model. Int J Fuzzy Syst 20:729–740MathSciNetCrossRef Guney H, Bakir MA, Aladag CH (2018) A novel stochastic seasonal fuzzy time series forecasting model. Int J Fuzzy Syst 20:729–740MathSciNetCrossRef
Zurück zum Zitat Hardle W (1990) Applied nonparametric regression. Cambridge University Press, New YorkCrossRef Hardle W (1990) Applied nonparametric regression. Cambridge University Press, New YorkCrossRef
Zurück zum Zitat Hesamian G, Akbari MG, Asadollahi M (2017) Fuzzy semi-parametric partially linear model with fuzzy inputs and fuzzy outputs. Expert Syst Appl 71:230–239CrossRef Hesamian G, Akbari MG, Asadollahi M (2017) Fuzzy semi-parametric partially linear model with fuzzy inputs and fuzzy outputs. Expert Syst Appl 71:230–239CrossRef
Zurück zum Zitat Klement EP, Mesiar R, Pap E (2005) Archimax copulas and invariance under transformations. Comptes Rendus Mathematique 340:755–758MathSciNetCrossRef Klement EP, Mesiar R, Pap E (2005) Archimax copulas and invariance under transformations. Comptes Rendus Mathematique 340:755–758MathSciNetCrossRef
Zurück zum Zitat Klement EP, Mesiar R, Pap E (2004) Problems on triangular norms and related operators. Fuzzy Sets Syst 145:471–479MathSciNetCrossRef Klement EP, Mesiar R, Pap E (2004) Problems on triangular norms and related operators. Fuzzy Sets Syst 145:471–479MathSciNetCrossRef
Zurück zum Zitat Klement EP, Mesiar R, Pap E (2000) Triangular norms, trends in logics 8. Kluwer Academic Publishers, DordrechtCrossRef Klement EP, Mesiar R, Pap E (2000) Triangular norms, trends in logics 8. Kluwer Academic Publishers, DordrechtCrossRef
Zurück zum Zitat Kuo SC, Chen CC, Li ST (2015) Evolutionary fuzzy relational modeling for fuzzy time series forecasting. Int J Fuzzy Syst 17:444–456CrossRef Kuo SC, Chen CC, Li ST (2015) Evolutionary fuzzy relational modeling for fuzzy time series forecasting. Int J Fuzzy Syst 17:444–456CrossRef
Zurück zum Zitat Liu B (2013) Uncertainty theory, 4th edn. Springer, Berlin Liu B (2013) Uncertainty theory, 4th edn. Springer, Berlin
Zurück zum Zitat Pap E (1997) Pseudo-analysis as a mathematical base for soft computing. Soft Comput 1:61–68CrossRef Pap E (1997) Pseudo-analysis as a mathematical base for soft computing. Soft Comput 1:61–68CrossRef
Zurück zum Zitat Peng J, Liu B (2004) Some properties of optimistic and pessimistic values of fuzzy. IEEE Int Conf Fuzzy Syst 2:745–750 Peng J, Liu B (2004) Some properties of optimistic and pessimistic values of fuzzy. IEEE Int Conf Fuzzy Syst 2:745–750
Zurück zum Zitat Sharma S, Chouhan M (2014) A review: fuzzy time series model for forecasting. Int J Adv Sci Technol 2:32–35 Sharma S, Chouhan M (2014) A review: fuzzy time series model for forecasting. Int J Adv Sci Technol 2:32–35
Zurück zum Zitat Shim J, Hwang C, Hong DH (2009) Fuzzy semiparametric support vector regression for seasonal time series analysis. Commun Korean Stat Soc 16:335–348 Shim J, Hwang C, Hong DH (2009) Fuzzy semiparametric support vector regression for seasonal time series analysis. Commun Korean Stat Soc 16:335–348
Zurück zum Zitat Simonoff J (1996) Smoothing methods in statistics. Springer, New YorkCrossRef Simonoff J (1996) Smoothing methods in statistics. Springer, New YorkCrossRef
Zurück zum Zitat Singh P (2017) A brief review of modeling approaches based on fuzzy time series. Int J Mach Learn Cybern 8:1–24CrossRef Singh P (2017) A brief review of modeling approaches based on fuzzy time series. Int J Mach Learn Cybern 8:1–24CrossRef
Zurück zum Zitat Song Q, Chissom BS (1993) Forecasting enrollments with fuzzy time series-part I. Fuzzy Sets Syst 54:1–9CrossRef Song Q, Chissom BS (1993) Forecasting enrollments with fuzzy time series-part I. Fuzzy Sets Syst 54:1–9CrossRef
Zurück zum Zitat Taheri SM (2003) Trends in fuzzy statistics. Austrian J Stat 32:239–257CrossRef Taheri SM (2003) Trends in fuzzy statistics. Austrian J Stat 32:239–257CrossRef
Zurück zum Zitat Taheri SM, Kelkinnama M (2012) Fuzzy linear regression based on least absolute deviations. Iran J Fuzzy Syst 9:121–140MathSciNetMATH Taheri SM, Kelkinnama M (2012) Fuzzy linear regression based on least absolute deviations. Iran J Fuzzy Syst 9:121–140MathSciNetMATH
Zurück zum Zitat Tanaka H, Uejima S, Asai K (1982) Linear regression analysis with fuzzy model. IEEE Trans Syst Man Cybern 12:903–907CrossRef Tanaka H, Uejima S, Asai K (1982) Linear regression analysis with fuzzy model. IEEE Trans Syst Man Cybern 12:903–907CrossRef
Zurück zum Zitat Tsaur RC, Wang HF, Yang JCO (2002) Fuzzy regression for seasonal time series analysis. Int J Inf Technol Decis Mak 1:165–175CrossRef Tsaur RC, Wang HF, Yang JCO (2002) Fuzzy regression for seasonal time series analysis. Int J Inf Technol Decis Mak 1:165–175CrossRef
Zurück zum Zitat Tseng FM, Tzeng GH, Yu HC, Yuan BJC (2001) Fuzzy ARIMA model for forecasting the foreign exchange market. Fuzzy Sets Syst 118:9–19MathSciNetCrossRef Tseng FM, Tzeng GH, Yu HC, Yuan BJC (2001) Fuzzy ARIMA model for forecasting the foreign exchange market. Fuzzy Sets Syst 118:9–19MathSciNetCrossRef
Zurück zum Zitat Viertl R (2011) Statistical methods for fuzzy data. Wiley, ChichesterCrossRef Viertl R (2011) Statistical methods for fuzzy data. Wiley, ChichesterCrossRef
Zurück zum Zitat Wang N, Zhang WX, Mei CL (2007) Fuzzy non-parametric regression based on local linear smoothing technique. Inf Sci 177:3882–3900CrossRef Wang N, Zhang WX, Mei CL (2007) Fuzzy non-parametric regression based on local linear smoothing technique. Inf Sci 177:3882–3900CrossRef
Zurück zum Zitat Wasserman L (2006) All of nonparametric statistics. Springer, New YorkMATH Wasserman L (2006) All of nonparametric statistics. Springer, New YorkMATH
Zurück zum Zitat Watada J (1992) Fuzzy time series analysis and forecasting of sales volume. Omnitech Press, Heidelberg Watada J (1992) Fuzzy time series analysis and forecasting of sales volume. Omnitech Press, Heidelberg
Zurück zum Zitat Zimmermann HJ (2010) Fuzzy set theory. Wiley Interdiscip Rev Comput Stat 2:317–332CrossRef Zimmermann HJ (2010) Fuzzy set theory. Wiley Interdiscip Rev Comput Stat 2:317–332CrossRef
Metadaten
Titel
Modeling autoregressive fuzzy time series data based on semi-parametric methods
verfasst von
R. Zarei
M. Gh. Akbari
J. Chachi
Publikationsdatum
17.10.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 10/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-04349-w

Weitere Artikel der Ausgabe 10/2020

Soft Computing 10/2020 Zur Ausgabe

Premium Partner