Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart
Quality control, particularly through the use of control charts, has become essential in industry to ensure that processes free from special causes of variability. Many processes are subject to instrument uncertainty, human subjectivity, and operator hesitation at the time of measurement. In such ca...
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IEEE
2025-01-01
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| Online Access: | https://ieeexplore.ieee.org/document/10994758/ |
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| author | Amanda Dos Santos Mendes Tulio S. Almeida Marcela A. G. Machado Paloma Maria Silva Rocha Rizol |
| author_facet | Amanda Dos Santos Mendes Tulio S. Almeida Marcela A. G. Machado Paloma Maria Silva Rocha Rizol |
| author_sort | Amanda Dos Santos Mendes |
| collection | DOAJ |
| description | Quality control, particularly through the use of control charts, has become essential in industry to ensure that processes free from special causes of variability. Many processes are subject to instrument uncertainty, human subjectivity, and operator hesitation at the time of measurement. In such cases, traditional control charts may not be as viable, so intuitionistic fuzzy control charts should be used, as they are able to represent the uncertainty and hesitation of the process. This study evaluates the performance of the <inline-formula> <tex-math notation="LaTeX">$\bar {X}$ </tex-math></inline-formula>-R intuitionistic fuzzy control charts was measured by the Average Run Length (ARL), Standard Deviation Run Length (SDRL) and Run Length Percentiles. Additionally, computational interface was developed in the R programming language, using the Shiny package, capable of facilitating the user’s experience in combining the concepts presented. Different combinations of the <inline-formula> <tex-math notation="LaTeX">$c_{L}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$c_{R}$ </tex-math></inline-formula> coefficients in the IF-WABL (Intuitionistic Fuzzy - Weigthed Average Based on Level) defuzzification method were considered, resulting in 17 scenarios. As these coefficients can be adjusted by the user, it is recommended that scenarios 4 to 7 be used for the general performance of the intuitionistic fuzzy <inline-formula> <tex-math notation="LaTeX">$\bar {X}$ </tex-math></inline-formula>-R control chart, as they lead to reductions in ARL and SDRL values and percentiles close to those of the traditional control chart. A maximum reduction of 5.88% in ARL and 5.45% in SDRL was observed, both in scenario 4. This work showed that intuitionistic fuzzy control charts are efficient at detecting special causes, and that the computer interface developed is capable of performing the proposed functions. |
| format | Article |
| id | doaj-art-cf8e8c23e5fe4aa59a466db0416f5ec4 |
| institution | DOAJ |
| issn | 2169-3536 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj-art-cf8e8c23e5fe4aa59a466db0416f5ec42025-08-20T03:07:06ZengIEEEIEEE Access2169-35362025-01-0113832858329610.1109/ACCESS.2025.356877410994758Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control ChartAmanda Dos Santos Mendes0https://orcid.org/0000-0002-8995-2977Tulio S. Almeida1https://orcid.org/0009-0006-9295-9826Marcela A. G. Machado2https://orcid.org/0000-0002-0621-6932Paloma Maria Silva Rocha Rizol3https://orcid.org/0000-0001-5246-4438Department of Administration and Public Administration, Institute of Humanities and Social Sciences, Federal Fluminense University, Volta Redonda, Rio de Janeiro, BrazilDepartment of Administration and Public Administration, Institute of Humanities and Social Sciences, Federal Fluminense University, Volta Redonda, Rio de Janeiro, BrazilDepartment of Production Engineering, Faculty of Engineering and Science, São Paulo State University “Júlio de Mesquita Filho,” Guaratinguetá, São Paulo, BrazilElectrical Engineering Department, Faculty of Engineering and Science, São Paulo State University “Júlio de Mesquita Filho,” Guaratinguetá, São Paulo, BrazilQuality control, particularly through the use of control charts, has become essential in industry to ensure that processes free from special causes of variability. Many processes are subject to instrument uncertainty, human subjectivity, and operator hesitation at the time of measurement. In such cases, traditional control charts may not be as viable, so intuitionistic fuzzy control charts should be used, as they are able to represent the uncertainty and hesitation of the process. This study evaluates the performance of the <inline-formula> <tex-math notation="LaTeX">$\bar {X}$ </tex-math></inline-formula>-R intuitionistic fuzzy control charts was measured by the Average Run Length (ARL), Standard Deviation Run Length (SDRL) and Run Length Percentiles. Additionally, computational interface was developed in the R programming language, using the Shiny package, capable of facilitating the user’s experience in combining the concepts presented. Different combinations of the <inline-formula> <tex-math notation="LaTeX">$c_{L}$ </tex-math></inline-formula> and <inline-formula> <tex-math notation="LaTeX">$c_{R}$ </tex-math></inline-formula> coefficients in the IF-WABL (Intuitionistic Fuzzy - Weigthed Average Based on Level) defuzzification method were considered, resulting in 17 scenarios. As these coefficients can be adjusted by the user, it is recommended that scenarios 4 to 7 be used for the general performance of the intuitionistic fuzzy <inline-formula> <tex-math notation="LaTeX">$\bar {X}$ </tex-math></inline-formula>-R control chart, as they lead to reductions in ARL and SDRL values and percentiles close to those of the traditional control chart. A maximum reduction of 5.88% in ARL and 5.45% in SDRL was observed, both in scenario 4. This work showed that intuitionistic fuzzy control charts are efficient at detecting special causes, and that the computer interface developed is capable of performing the proposed functions.https://ieeexplore.ieee.org/document/10994758/Computational interfacecontrol charthesitationintuitionistic fuzzy logicperformanceuncertainty |
| spellingShingle | Amanda Dos Santos Mendes Tulio S. Almeida Marcela A. G. Machado Paloma Maria Silva Rocha Rizol Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart IEEE Access Computational interface control chart hesitation intuitionistic fuzzy logic performance uncertainty |
| title | Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart |
| title_full | Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart |
| title_fullStr | Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart |
| title_full_unstemmed | Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart |
| title_short | Performance Analysis and Computational Interface for <italic>X – R</italic> Intuitionistic Fuzzy Control Chart |
| title_sort | performance analysis and computational interface for italic x x2013 r italic intuitionistic fuzzy control chart |
| topic | Computational interface control chart hesitation intuitionistic fuzzy logic performance uncertainty |
| url | https://ieeexplore.ieee.org/document/10994758/ |
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