PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER

Sagirkaya Tolan, Seda; SANLI KULA, KAMILE; ERBAY DALKILIÇ, Türkan

doi:10.31801/cfsuasmas.713755

PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER

Türkan ERBAY DALKILIÇ, (Karadeniz Teknik Üniversitesi, İstatistik ve Bilgisayar Bilimleri, Trabzon, TÜRKİYE)

Kamile KULA, (Kırşehir Ahi Evran Üniversitesi, Matematik Bölümü, Kırşehir, TÜRKİYE)

Seda SAGIRKAYA TOLAN (Karadeniz Teknik Üniversitesi, İstatistik ve Bilgisayar Bilimleri, Trabzon, TÜRKİYE.)

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics

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Yıl: 2020 Cilt: 69 Sayı: 2 Sayfa Aralığı: 1193 - 1204 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.713755 İndeks Tarihi: 08-09-2021

PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER

Öz:

One of the problems encountered in estimating the unknown pa- rameters of the regression models is the presence of outliers in the data set. This situation may cause problems in providing some assumptions such as the normal distribution for the parameter estimation process and the homogeneity of the variances. The case of the presence of outlier observations in the data set, estimation methods based on fuzzy logic that can be minimized the level of impact of this data are emerged as available methods. If fuzzy logic is used in regression analysis, there are two main steps for parameter estimation. The first of these is to define the clusters that compose the data set, and the other is calculate the degree of membership to determining the contributions of the data to each model for the clusters. In this study, type-2 fuzzy clustering algo- rithm defined as an expansion of fuzzy c-means algorithm in the determination of membership degrees of data sets was benefited. The presence of outliers in the data set is addressed. An algorithm has been proposed to estimate the un- known belonging to parameters of the regression model using the membership degrees obtained relating to the cluster elements. The parameters were esti- mated using regression methods to examine the effectiveness of the algorithm that called robust methods, and the results obtained were compared.

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APA	ERBAY DALKILIÇ T, SANLI KULA K, Sagirkaya Tolan S (2020). PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. , 1193 - 1204. 10.31801/cfsuasmas.713755
Chicago	ERBAY DALKILIÇ Türkan,SANLI KULA KAMILE,Sagirkaya Tolan Seda PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. (2020): 1193 - 1204. 10.31801/cfsuasmas.713755
MLA	ERBAY DALKILIÇ Türkan,SANLI KULA KAMILE,Sagirkaya Tolan Seda PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. , 2020, ss.1193 - 1204. 10.31801/cfsuasmas.713755
AMA	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. . 2020; 1193 - 1204. 10.31801/cfsuasmas.713755
Vancouver	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. . 2020; 1193 - 1204. 10.31801/cfsuasmas.713755
IEEE	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S "PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER." , ss.1193 - 1204, 2020. 10.31801/cfsuasmas.713755
ISNAD	ERBAY DALKILIÇ, Türkan vd. "PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER". (2020), 1193-1204. https://doi.org/10.31801/cfsuasmas.713755

APA	ERBAY DALKILIÇ T, SANLI KULA K, Sagirkaya Tolan S (2020). PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69(2), 1193 - 1204. 10.31801/cfsuasmas.713755
Chicago	ERBAY DALKILIÇ Türkan,SANLI KULA KAMILE,Sagirkaya Tolan Seda PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69, no.2 (2020): 1193 - 1204. 10.31801/cfsuasmas.713755
MLA	ERBAY DALKILIÇ Türkan,SANLI KULA KAMILE,Sagirkaya Tolan Seda PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.69, no.2, 2020, ss.1193 - 1204. 10.31801/cfsuasmas.713755
AMA	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1193 - 1204. 10.31801/cfsuasmas.713755
Vancouver	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1193 - 1204. 10.31801/cfsuasmas.713755
IEEE	ERBAY DALKILIÇ T,SANLI KULA K,Sagirkaya Tolan S "PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69, ss.1193 - 1204, 2020. 10.31801/cfsuasmas.713755
ISNAD	ERBAY DALKILIÇ, Türkan vd. "PARAMETER ESTIMATION BY TYPE-2 FUZZY LOGIC IN CASE THAT DATA SET HAS OUTLIER". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69/2 (2020), 1193-1204. https://doi.org/10.31801/cfsuasmas.713755