Attribute Control Chart Construction Based on Fuzzy Score Number
There is much uncertainty and fuzziness in product quality attributes or quality parameters of a manufacturing process, so the traditional quality control chart can be difficult to apply. This paper proposes a fuzzy control chart. The plotted data was obtained by transforming expert scores into fuzz...
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MDPI AG
2016-11-01
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Series: | Symmetry |
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Online Access: | http://www.mdpi.com/2073-8994/8/12/139 |
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author | Shiwang Hou Hui Wang Shunxiao Feng |
author_facet | Shiwang Hou Hui Wang Shunxiao Feng |
author_sort | Shiwang Hou |
collection | DOAJ |
description | There is much uncertainty and fuzziness in product quality attributes or quality parameters of a manufacturing process, so the traditional quality control chart can be difficult to apply. This paper proposes a fuzzy control chart. The plotted data was obtained by transforming expert scores into fuzzy numbers. Two types of nonconformity judgment rules—necessity and possibility measurement rules—are proposed. Through graphical analysis, the nonconformity judging method (i.e., assessing directly based on the shape feature of a fuzzy control chart) is proposed. For four different widely used membership functions, control levels were analyzed and compared by observing gaps between the upper and lower control limits. The result of the case study validates the feasibility and reliability of the proposed approach. |
first_indexed | 2024-04-14T02:22:49Z |
format | Article |
id | doaj.art-25a23de001fc464791d17a69f7effecd |
institution | Directory Open Access Journal |
issn | 2073-8994 |
language | English |
last_indexed | 2024-04-14T02:22:49Z |
publishDate | 2016-11-01 |
publisher | MDPI AG |
record_format | Article |
series | Symmetry |
spelling | doaj.art-25a23de001fc464791d17a69f7effecd2022-12-22T02:17:59ZengMDPI AGSymmetry2073-89942016-11-0181213910.3390/sym8120139sym8120139Attribute Control Chart Construction Based on Fuzzy Score NumberShiwang Hou0Hui Wang1Shunxiao Feng2School of Business, Huaihua University, Huaihua 418000, Hunan, ChinaSchool of Mechanical and Power Engineering, North University of China, Taiyuan 030051, Shanxi, ChinaSchool of Mechanical and Power Engineering, North University of China, Taiyuan 030051, Shanxi, ChinaThere is much uncertainty and fuzziness in product quality attributes or quality parameters of a manufacturing process, so the traditional quality control chart can be difficult to apply. This paper proposes a fuzzy control chart. The plotted data was obtained by transforming expert scores into fuzzy numbers. Two types of nonconformity judgment rules—necessity and possibility measurement rules—are proposed. Through graphical analysis, the nonconformity judging method (i.e., assessing directly based on the shape feature of a fuzzy control chart) is proposed. For four different widely used membership functions, control levels were analyzed and compared by observing gaps between the upper and lower control limits. The result of the case study validates the feasibility and reliability of the proposed approach.http://www.mdpi.com/2073-8994/8/12/139fuzzy scoresfuzzy attribute control chartmembership function |
spellingShingle | Shiwang Hou Hui Wang Shunxiao Feng Attribute Control Chart Construction Based on Fuzzy Score Number Symmetry fuzzy scores fuzzy attribute control chart membership function |
title | Attribute Control Chart Construction Based on Fuzzy Score Number |
title_full | Attribute Control Chart Construction Based on Fuzzy Score Number |
title_fullStr | Attribute Control Chart Construction Based on Fuzzy Score Number |
title_full_unstemmed | Attribute Control Chart Construction Based on Fuzzy Score Number |
title_short | Attribute Control Chart Construction Based on Fuzzy Score Number |
title_sort | attribute control chart construction based on fuzzy score number |
topic | fuzzy scores fuzzy attribute control chart membership function |
url | http://www.mdpi.com/2073-8994/8/12/139 |
work_keys_str_mv | AT shiwanghou attributecontrolchartconstructionbasedonfuzzyscorenumber AT huiwang attributecontrolchartconstructionbasedonfuzzyscorenumber AT shunxiaofeng attributecontrolchartconstructionbasedonfuzzyscorenumber |