GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION

Sevil Şentürk

doi:10.18038/btd-a.93366

EN TR

GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION

Abstract

In statistical process control, if there is a consistent increase or decrease in process average and variation and there is a tool wear in process, the regression control chart is the most suitable control chart. Therefore, classical control chart is used in the situation that the data is precise. In case that the monitoring process includes vagueness which arises from measurement system or environmental conditions, fuzzy control charts based on fuzzy set theory are useful tools used to model process. The fuzzy regression control chart is a functional technique to evaluate the process in which the avarege has a trend and data represents a linguistic or aprroximate value. The theoratical structure of fuzzy regression control chart and fuzzy range control chart was generated by Şentürk (2010) and an application was carried out for triangular fuzzy number by using α-cut fuzzy midrange technique. In this paper, the theoretical structure of fuzzy regression control chart and fuzzy range control chart are generated for fuzzy mode and fuzzy median by using trapezoidal fuzzy numbers for the first time. An application based on fuzzy median technique carried out for fuzzy regression control chart and fuzzy range control chart. The results are interpreted

Keywords

Fuzzy transformation techniques, Trapezoidal fuzzy numbers, Control charts,Regression control chart

BULANIK REGRESYON KONTROL GRAFİĞİNİN BULANIK MOD VE BULANIK MEDYAN DÖNÜŞÜM TEKNİKLERİ KULLANILARAK OLUŞTURULMASI VE BİR UYGULAMA

Abstract

İstatistiksel süreç kontrolünde eğer sürecin ortalamasında ve değişkenliğinde kararlı bir artma veya azalma gözlemleniyorsa ve süreçte bir aşınma söz konusuysa regresyon kontrol grafiği kullanılabilecek en uygun kontrol grafiği tekniğidir. Bununla birlikte, klasik kontrol grafikleri süreçten alınan verilerin kesin ve tam olarak bilindiği durumlarda kullanılmaktadır. İlgilenilen süreç, ölçüm sisteminden veya çevresel etkenlerden kaynaklanan bir belirsizlik içeriyorsa bulanık küme teorisine dayalı, bulanık kontrol grafikleri süreci modellemede daha etkin bir araç olarak kullanılabilmektedir. Bulanık regresyon kontrol grafiği, verilerin yaklaşık değer olarak ya da dilsel olarak ifade edildiği ve ortalamanın bir trende sahip olduğu süreçleri değerlendirmede kullanılan bir kontrol grafiğidir. Şentürk (2010) tarafından bulanık regresyon kontrol grafiğinin ve bulanık değişim aralığı kontrol grafiğinin teorik yapısı oluşturulmuş ve üçgen bulanık sayılar için α-kesim bulanık orta değişim tekniği kullanılarak uygulaması yapılmıştır. Bu çalışmada ise, yamuk bulanık sayılar kullanılarak, bulanık mod ve bulanık medyan transformasyon teknikleri için bulanık regresyon kontrol grafiğinin ve bulanık değişim aralığı kontrol grafiğinin teorik yapısı ilk defa oluşturulmuştur. Bulanık regresyon kontrol grafiği ve bulanık değişim aralığı kontrol grafiği için bulanık medyan tekniğine dayalı bir uygulama yapılmış ve uygulama sonuçları yorumlanmıştır.

Keywords

Bulanık dönüşüm teknikleri, Yamuk bulanık sayılar, Kontrol grafikleri, Regresyon kontrol grafiği

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Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

Sevil Şentürk

Publication Date

August 24, 2015

Submission Date

August 24, 2015

Acceptance Date

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Published in Issue

Year 2015 Volume: 16 Number: 1

DOI

https://doi.org/10.18038/btd-a.93366

IZ

https://izlik.org/JA99TL83KT

APA

Şentürk, S. (2015). GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, 16(1), 23-37. https://doi.org/10.18038/btd-a.93366

AMA

1.Şentürk S. GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION. AUJST-A. 2015;16(1):23-37. doi:10.18038/btd-a.93366

Chicago

Şentürk, Sevil. 2015. “GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 16 (1): 23-37. https://doi.org/10.18038/btd-a.93366.

EndNote

Şentürk S (August 1, 2015) GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 16 1 23–37.

IEEE

[1]S. Şentürk, “GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION”, AUJST-A, vol. 16, no. 1, pp. 23–37, Aug. 2015, doi: 10.18038/btd-a.93366.

ISNAD

Şentürk, Sevil. “GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering 16/1 (August 1, 2015): 23-37. https://doi.org/10.18038/btd-a.93366.

JAMA

1.Şentürk S. GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION. AUJST-A. 2015;16:23–37.

MLA

Şentürk, Sevil. “GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION”. Anadolu University Journal of Science and Technology A - Applied Sciences and Engineering, vol. 16, no. 1, Aug. 2015, pp. 23-37, doi:10.18038/btd-a.93366.

Vancouver

1.Sevil Şentürk. GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION. AUJST-A. 2015 Aug. 1;16(1):23-37. doi:10.18038/btd-a.93366

GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION

Abstract

Keywords

BULANIK REGRESYON KONTROL GRAFİĞİNİN BULANIK MOD VE BULANIK MEDYAN DÖNÜŞÜM TEKNİKLERİ KULLANILARAK OLUŞTURULMASI VE BİR UYGULAMA

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