English FEWMA and Fuzzy Regression Model Control Chart one a-cut With Application
DOI:
https://doi.org/10.25007/ajnu.v11n4a881Abstract
Abstract:
In many real-world applications, the data to be used in a control charting method are not crisp since they are approximated due to environmental uncertainties, In these situations, fuzzy numbers and linguistic variables are used to grab such uncertainties. That is why the use of a fuzzy control chart, in which fuzzy data are used, is justified. As an exponentially weighted moving average (EWMA) scheme is usually used to detect small shifts, in this paper a fuzzy EWMA (F-EWMA) control chart is proposed to detect small shifts in the process mean when fuzzy data are available. As well as The fuzzy regression control chart which is a functional technique to evaluate the process in which the average has a trend and the data represents a linguistic or approximate value.
In this paper, the application of fuzzy logic in statistical quality control have been done by plotting fuzzy EWMA chart and Fuzzy linear regression model control chart depending on a suggested algorithm prepared for this purpose, as well as the theoretical structure of the “a-level fuzzy midrange for a-cut fuzzy -regression control chart” is proposed for triangular membership functions and applying that to the chemical analysis data of a water component, Total Dissolved Solid ( TDS) in water from the KANY Factory to detect small shifts in the process means, the data contains three groups (TDS-a, TDS-b, TDS-c), for 24 days each day containing 5 hour data, as shown in Table (1)
The comparison showed that the fuzzy linear regression model Control chart is a good technique and more suitable, accuracy, sensitivity than the traditional linear regression model Control chart.
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2- Cengiz Kahraman • Özgür Kabak (2016),Fuzzy Statistical Decision-Making Theory and Applications
Springer International Publishing Switzerland 2016.
3- DOUGLAS C. MONTGOMERY ,2013,”’Introduction to Statistical Quality Control”, seven edition, Arizona State University Printed in the United States of America. 10 9 8 7 6 5 4 3 2 1
4- Ghazale Moghadam , G. Ali Raissi, V. Amirzadeh (2016),”New fuzzy EWMA control charts for monitoring phase II fuzzy profiles “
5- Department of Industrial Engineering, Isfahan University Of Technology, Isfahan, Iran ,Faculty of mathematics and computer, Shahid Bahonar University Of Kerman, Kerman, Iran
6- Kawa M.J Rashid , S. S. Haydar , 2015,”Use Fuzzy Midrange Transformation Method to Construction Fuzzy Control Charts
limits”, International Journal of Scientific and Statistical Computing (IJSSC), Volume (6) : Issue (1) :
7- Lisset Denoda Pérez, G. C. Cardoso, J. L. Martínez, , ,2015,”FUZZY LINEAR REGRESSION MODELS: A MEDICAL APPLICATION” Departamento de Computación, Centro de Estudios de Informática. Facultad Matemática, Física y Computación, Universidad , All content following this page was uploaded by Lisset Denoda on 09 April 2015
8- Liudmyla Маlyaretz*, O. Dorokhov,L. Dorokhova , 2017 “Method of Constructing the Fuzzy Regression Model of Bank Сompetitiveness”, Journal of Central Banking Theory and Practice, 2018, 2, pp. 139-164 ,Received: 4 May 2017; accepted: 14 August 2017
9- M. G¨ulbay and C. Kahraman(2006) “Design of Fuzzy Process Control Charts for Linguistic and Imprecise Data .Istanbul Technical University, Faculty of Management, Industrial Engineering Department, 34367 Maçka, stanbul, Turke {gulbaym,kahramanc}@itu.edu.tr
10- Nur A. Zafirah Basri,Mohd S. Rusiman,Roslan,(2016) “Application of Fuzzy X ̅̃ −R ̃ Charts for Solder Paste Thickness”,
iGlobal Journal of Pure and Applied Mathematics. ISSN 0973-1768 Volume 12, Number 5 (2016)
11- Sevil Şentürk,N. Erginel,İ. Kay, (2011)”Design of Fuzzy (u)over-tilde Control Charts”
Article in Journal of multiple-valued logic and soft computing • January 2011, Department of Statistics, Anadolu University,
26470 Eskişehir, Turkey
12- Sevil Şentürk ,2010 ,”Fuzzy Regression Control Chart Based on α-cut Approximation”
International Journal of Computational Intelligence Systems, Vol.3, No. 1 (April, 2010), 123-140,
13- S. Subbulakshmi1, A. Kachimohideen2 and R. Sasikumar3 ,(2017) “Application of FEWMA Control Chart for Monitoring Yarn Process in the Textile Industry “Advances in Fuzzy Mathematics. ISSN 0973-533X Volume 12, Number 3 (2017), pp.747-762 ©
14- V.HRISSANTHOU, MIKE SPILIOTIS ,2018, “CONVENTIONAL AND FUZZY REGRESSION THEORY AND ENGINEERING APPLICATIONS”, Copyright © 2018 by Nova Science Publishers, Inc
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