FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES
ABSTRACT The control chart introduced by Shewhart is one of the most important quality control techniques used to detect special causes. Real world data are complicated to interpret since they involve a certain level of uncertainty that may be linked to human subjectivity or measurement device limit...
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doaj-d916ab8a9cc442ab855e974e812be6be2020-11-24T21:36:15ZengSociedade Brasileira de Pesquisa OperacionalPesquisa Operacional1678-514239233935710.1590/0101-7438.2019.039.02.0339S0101-74382019000200339FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSESAmanda dos Santos MendesMarcela A. G. MachadoPaloma M. S. Rocha RizolABSTRACT The control chart introduced by Shewhart is one of the most important quality control techniques used to detect special causes. Real world data are complicated to interpret since they involve a certain level of uncertainty that may be linked to human subjectivity or measurement device limitations. Fuzzy set theory can deal with such uncertainty and can be applied to traditional control charts. In this work, the values of the quality characteristic are fuzzified by the insertion of uncertainties and transformed into representative values for a better comparison with traditional control charts. The performance of a control chart can be measured by the average run length (ARL) and the extra quadratic loss (EQL). We observed in the present work that the fuzzy control chart has greater efficiency than the traditional control charts. An illustrative example demonstrates the application of the fuzzy control chart for the measurement of the volume contained in milk bags.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000200339&lng=en&tlng=encontrol chartfuzzyaverage run length (ARL)extra quadratic loss (EQL) |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Amanda dos Santos Mendes Marcela A. G. Machado Paloma M. S. Rocha Rizol |
spellingShingle |
Amanda dos Santos Mendes Marcela A. G. Machado Paloma M. S. Rocha Rizol FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES Pesquisa Operacional control chart fuzzy average run length (ARL) extra quadratic loss (EQL) |
author_facet |
Amanda dos Santos Mendes Marcela A. G. Machado Paloma M. S. Rocha Rizol |
author_sort |
Amanda dos Santos Mendes |
title |
FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES |
title_short |
FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES |
title_full |
FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES |
title_fullStr |
FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES |
title_full_unstemmed |
FUZZY CONTROL CHART FOR MONITORING MEAN AND RANGE OF UNIVARIATE PROCESSES |
title_sort |
fuzzy control chart for monitoring mean and range of univariate processes |
publisher |
Sociedade Brasileira de Pesquisa Operacional |
series |
Pesquisa Operacional |
issn |
1678-5142 |
description |
ABSTRACT The control chart introduced by Shewhart is one of the most important quality control techniques used to detect special causes. Real world data are complicated to interpret since they involve a certain level of uncertainty that may be linked to human subjectivity or measurement device limitations. Fuzzy set theory can deal with such uncertainty and can be applied to traditional control charts. In this work, the values of the quality characteristic are fuzzified by the insertion of uncertainties and transformed into representative values for a better comparison with traditional control charts. The performance of a control chart can be measured by the average run length (ARL) and the extra quadratic loss (EQL). We observed in the present work that the fuzzy control chart has greater efficiency than the traditional control charts. An illustrative example demonstrates the application of the fuzzy control chart for the measurement of the volume contained in milk bags. |
topic |
control chart fuzzy average run length (ARL) extra quadratic loss (EQL) |
url |
http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382019000200339&lng=en&tlng=en |
work_keys_str_mv |
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