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:: Volume 9, Issue 3 (8-2019) ::
2019, 9(3): 28-44 Back to browse issues page
Nonparametric Shewhart-type quality control charts in fuzzy environment
F. Momeni , S. Shokri
Department of Statistics, Behshahr Branch, Islamic Azad University, Behshahr, Iran.
Abstract:   (1629 Views)
Nonparametric control charts are presented in order to figure out the problem of detecting changes in the process median (or mean)‎, ‎or changes in the variability process where there is limited knowledge regarding the underlying process‎. ‎When observations are reported imprecise‎, ‎then it is impossible to use classical nonparametric control charts‎. ‎This paper is devoted to the problem of constructing nonparametric control charts in presence of fuzzy data and parameters‎. ‎For this aim‎, ‎we propose two different methods‎:  ‎distance between fuzzy numbers and credibility measure for ranking fuzzy data‎, ‎that can be used to construct sign and Wilcoxon signed-rank control charts‎. ‎Then‎, ‎this statistical control charts are applied to monitor location and scale parameters of a continuous statistical process‎. ‎Finally‎, ‎proposed control charts application is evaluated with numerical examples.
Keywords: Fuzzy Sign Control Chart, Synthetic Control Chart, Average Run Length, D_p, q-Distance, Credibility Measure
Full-Text [PDF 1492 kb]   (310 Downloads)    
Type of Study: Research | Subject: Special
Received: 2019/02/20 | Accepted: 2019/05/25 | Published: 2019/08/26
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Momeni F, Shokri S. Nonparametric Shewhart-type quality control charts in fuzzy environment. International Journal of Applied Operational Research. 2019; 9 (3) :28-44
URL: http://ijorlu.liau.ac.ir/article-1-581-en.html


Volume 9, Issue 3 (8-2019) Back to browse issues page
ژورنال بین المللی پژوهش عملیاتی International Journal of Applied Operational Research - An Open Access Journal
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