Korbicz, Józef - red. ; Uciński, Dariusz - red.
In this paper, we consider a nonparametric Shewhart chart for fuzzy data. We utilize the fuzzy data without transforming them into a real-valued scalar (a representative value). Usually fuzzy data (described by fuzzy random variables) do not have a distributional model available, and also the size of the fuzzy sample data is small. ; Based on the bootstrap methodology, we design a nonparametric Shewhart control chart in the space of fuzzy random variables equipped with some L2 metric, in which a novel approach for generating the control limits is proposed. The control limits are determined by the necessity index of strict dominance combined with the bootstrap quantile of the test statistic. An in-control bootstrap ARL of the proposed chart is also considered.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 25, number 2 (2015) ; kliknij tutaj, żeby przejść
Biblioteka Uniwersytetu Zielonogórskiego
2024-05-02
2024-05-02
21
https://zbc.uz.zgora.pl/publication/88889
Nazwa wydania | Data |
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A fuzzy nonparametric Shewhart chart based on the bootstrap approach | 2024-05-02 |
Tabor, Zbisław Korbicz, Józef - red. Uciński, Dariusz - red.
Nowicki, Robert K. Korbicz, Józef - red. Uciński, Dariusz - red.
Hryniewicz, Olgierd (1948- )
Kacprzyk, Janusz (1947- ) Yager, Ronald R. Zadrożny, Sławomir Rutkowska, Danuta - ed. Zadeh, Lotfi A. - ed.
Pedrycz, Witold (1953- ) Korbicz, Józef - red. Uciński, Dariusz - red.
Pieczyński, Andrzej Łobos, Tadeusz - recenzent Miczulski, Wiesław - recenzent Kościelny, Jan Maciej - recenzent