Fuzzy Mewma Control Chart with Median Transformation for Manufacturing Multivariate Process Control

Fathan, Morina A.; Nurhaliza, Sitti; Najiha, Alimatun; Widyaningrum, Erlyne Nadhilah; Putri, Rizka Amalia

doi:10.20956/j.v21i3.43640

Open access Jurnal

Fuzzy Mewma Control Chart with Median Transformation for Manufacturing Multivariate Process Control

Jurnal Matematika, Statistika dan Komputasi · Vol. 21 No. 3 (2025) · pp. 886–896

DOI: 10.20956/j.v21i3.43640
ISSN: 2614-8811, 1858-1382
Published: 2025-05-14
Publisher: Department of Mathematics, Hasanuddin University
Language: en
License: creativecommons.org/licenses/by/4.0

Abstract

The Multivariate Exponentially Weighted Moving Average (MEWMA) control chart is developed with the advantage of detecting small shifts in the mean vector and is robust. Conventional control charts have limitations in handling ambiguity in a process. The fuzzy MEWMA control chart is proposed to detect small shifts under uncertain conditions. When the fuzzy data distribution is asymmetric, the median transformation method is used. Quality control is crucial for the convection industry. Clothing designs tailored to human body proportions indicate that ambiguity in the process and small measurement shifts can affect measurement accuracy. This study will utilize the Fuzzy MEWMA control chart with median transformation for quality control in the multivariate manufacturing process, particularly in the convection industry. The purpose of this study is to determine the UCL value, obtain performance evaluation results and implement the Fuzzy MEWMA control chart with median transformation. The research findings show that the UCL with an alpha level cut of 0.6 for three quality characteristics increases as the lambda value decreases. Performance evaluation results indicate that when small process shifts occur, lambda 0.05 and lambda 0.1 provide better performance than other lambda values. The production control results for uniform manufacturing in a convection company in Palu City show two observations outside the UCL, which can serve as an early warning for the company.

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13 authors · 25 co-authorship links

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Co-author	Organisation	Joint articles
Nur Rezky Safitriani	Affiliation unknown	3
Asep Saefuddin	IPB University	1
Kusman Sadik	Affiliation unknown	1
Georgina Maria Tinungki	Affiliation unknown	1
Erna Tri Herdiani	Affiliation unknown	1
Nindya Wulandari	Affiliation unknown	1
Afra Nazhirah	Affiliation unknown	1
Siti Arita Novia	Affiliation unknown	1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

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	<dc:title xml:lang="en">Fuzzy Mewma Control Chart with Median Transformation for Manufacturing Multivariate Process Control</dc:title>
	<dc:creator xml:lang="en">Fathan, Morina A.</dc:creator>
	<dc:creator xml:lang="en">Nurhaliza, Sitti</dc:creator>
	<dc:creator xml:lang="en">Najiha, Alimatun</dc:creator>
	<dc:creator xml:lang="en">Widyaningrum, Erlyne Nadhilah</dc:creator>
	<dc:creator xml:lang="en">Putri, Rizka Amalia</dc:creator>
	<dc:subject xml:lang="en">Control chart</dc:subject>
	<dc:subject xml:lang="en"> fuzzy MEWMA</dc:subject>
	<dc:subject xml:lang="en">Median Transformation</dc:subject>
	<dc:subject xml:lang="en"> Convection industry</dc:subject>
	<dc:description xml:lang="en">The Multivariate Exponentially Weighted Moving Average (MEWMA) control chart is developed with the advantage of detecting small shifts in the mean vector and is robust. Conventional control charts have limitations in handling ambiguity in a process. The fuzzy MEWMA control chart is proposed to detect small shifts under uncertain conditions. When the fuzzy data distribution is asymmetric, the median transformation method is used. Quality control is crucial for the convection industry. Clothing designs tailored to human body proportions indicate that ambiguity in the process and small measurement shifts can affect measurement accuracy. This study will utilize the Fuzzy MEWMA control chart with median transformation for quality control in the multivariate manufacturing process, particularly in the convection industry. The purpose of this study is to determine the UCL value, obtain performance evaluation results and implement the Fuzzy MEWMA control chart with median transformation. The research findings show that the UCL with an alpha level cut of 0.6 for three quality characteristics increases as the lambda value decreases. Performance evaluation results indicate that when small process shifts occur, lambda 0.05 and lambda 0.1 provide better performance than other lambda values. The production control results for uniform manufacturing in a convection company in Palu City show two observations outside the UCL, which can serve as an early warning for the company.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2025-05-14</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/43640</dc:identifier>
	<dc:identifier>10.20956/j.v21i3.43640</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 21 No. 3 (2025): MAY 2025; 886-896</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/43640/12814</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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