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Journals / İstatistik Araştırma Dergisi / 2026 / Cilt: 3 Sayı: 2

Regression Analysis Based on Possibility Theory

Olabilirlik Kuramına Dayalı Regresyon Analizi

Murat Alper Başaran(HACETTEPE ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ)
Süleyman Günay(HACETTEPE ÜNİVERSİTESİ, FEN FAKÜLTESİ, İSTATİSTİK BÖLÜMÜ)
Pages
89–95
Publication Date
2004-08-15
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, regression analysis based on possibility theory has been rewieved.
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Key Findings & Data:This modelling tool helps researchers gain insigth about their subjects under the circumstances that classical statistical modelling tools does not help much.
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Conclusion & Impact: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.
🔬Design:Review & Systematic Survey
📍Scope:Comprehensive Sample
⚙️Variables:Bulanık Doğrusal Regresyon · Bulanık Küme · Bulanık Sayı

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.

Özet

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.

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Cite This Article

Başaran, M. A., Günay, S. (2004). Regression Analysis Based on Possibility Theory. İstatistik Araştırma Dergisi, Cilt: 3 Sayı: 2, 89–95. https://ajindex.com/articles/1617942

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References (6)

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