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Fuzzy Robust Regression Analysis Based on the Ranking of Fuzzy Sets   
Yazarlar
Prof. Dr. Kamile ŞANLI KULA Prof. Dr. Kamile ŞANLI KULA
Ahi Evran Üniversitesi, Türkiye
Ayşen Apaydın
Ankara Üniversitesi, Türkiye
Özet
Since fuzzy linear regression was introduced by Tanaka et al., fuzzy regression analysis has been widely studied and applied invarious areas. Diamond proposed the fuzzy least squares method to eliminate disadvantages in the Tanaka et al method. In this paper, we propose a modified fuzzy leasts quares regression analysis. When independent variables are crisp, the dependent variable is a fuzzy number and outliers are present in the dataset. In the proposed method, the residuals are ranked as the comparison of fuzzy sets, and the weight matrix is defined by the membership function of the residuals. To illustrate how the proposed method is applied, two examples are discussed and compared in methods from the literature. Results from the numerical examples using the proposed method give good solutions.
Anahtar Kelimeler
Robust regression | outlier | fuzzy regression | membership function | OM index
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS
Dergi ISSN 0218-4885
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 10-2008
Cilt No 16
Sayı 5
Sayfalar 663 / 681
Atıf Sayıları
WoS 30

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