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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Main Authors: Shiwang Hou, Hui Wang, Shunxiao Feng
Format: Article
Language:English
Published: MDPI AG 2016-11-01
Series:Symmetry
Subjects:
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.
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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