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Regression Analysis Based on Possibility Theory

Year 2004, Volume: 3 Issue: 2, 89 - 95, 15.08.2004

Abstract

In this study, regression analysis based on possibility theory has been rewieved. This modelling tool helps researchers gain insigth about their subjects under the circumstances that classical statistical modelling tools does not help much. This modelling technique is widely used in many areas. This review is restricted to the cases that consist of only Tanaka's method and fuzzy least squares method and their modified versions based on defined variables.

References

  • DUBOIS, D VE PRADE, H. (1980), Fuzzy Sets and Systems: Theory and Applications, New York, Academic Press.
  • ÖZELKAN, Ö ve DUCKTEIN, R. (2000), Multiobjective Fuzzy Regression, European Journal of Operation Research, 126, 637-650.
  • REDDEN, D ve WOODALL, H. (1996), Further Examination of Fuzzy Regression, Fuzzy Sets and Systems, 79, 203-211.
  • SAKAWA, M, ve YANO, H. (1992), Multiobjective Fuzzy Linear Regression Analysis for Fuzzy Input-Output Data, Fuzzy Sets and Systems, 47, 173, 181.
  • TANAKA, H. (1987), Fuzzy Data Analysis By Possibilistic Linear Modells, Fuzzy Sets and Systems, 24, 363-375.
  • ZADEH, L (1975), The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, Information Sciences, 8, 199-249.

Olabilirlik Kuramına Dayalı Regresyon Analizi

Year 2004, Volume: 3 Issue: 2, 89 - 95, 15.08.2004

Abstract

Bulanık Doğrusal Regresyon literatürde çok çeşitli disiplinlerde modelleme çalışmalarında kullanılan bir yöntemdir. Bu çalışmada literatürdeki modelleme yöntemleri olan Tanaka yöntemi ve bulanık en küçük kareler yöntemi ve onların çeşitli değiştirilmiş yönleri ele alınmıştır.

References

  • DUBOIS, D VE PRADE, H. (1980), Fuzzy Sets and Systems: Theory and Applications, New York, Academic Press.
  • ÖZELKAN, Ö ve DUCKTEIN, R. (2000), Multiobjective Fuzzy Regression, European Journal of Operation Research, 126, 637-650.
  • REDDEN, D ve WOODALL, H. (1996), Further Examination of Fuzzy Regression, Fuzzy Sets and Systems, 79, 203-211.
  • SAKAWA, M, ve YANO, H. (1992), Multiobjective Fuzzy Linear Regression Analysis for Fuzzy Input-Output Data, Fuzzy Sets and Systems, 47, 173, 181.
  • TANAKA, H. (1987), Fuzzy Data Analysis By Possibilistic Linear Modells, Fuzzy Sets and Systems, 24, 363-375.
  • ZADEH, L (1975), The Concept of a Linguistic Variable and Its Application to Approximate Reasoning, Information Sciences, 8, 199-249.
There are 6 citations in total.

Details

Primary Language Turkish
Subjects Quantitative Decision Methods
Journal Section Research Articles
Authors

Murat Alper Başaran

Süleyman Günay

Publication Date August 15, 2004
Published in Issue Year 2004 Volume: 3 Issue: 2

Cite

APA Başaran, M. A., & Günay, S. (2004). Olabilirlik Kuramına Dayalı Regresyon Analizi. İstatistik Araştırma Dergisi, 3(2), 89-95.