Using Fuzzy Theory in %GR&amp;amp;R and NDC of Measurement System Analysis

Tsu-Ming Yeh,Chi-Wen Huang,Fan-Yun Pai

doi:10.4236/eng.2015.74013

Using Fuzzy Theory in %GR&amp;R and NDC of Measurement System Analysis

Tsu-Ming Yeh, Chi-Wen Huang + Show 1 more

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https://doi.org/10.4236/eng.2015.74013

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Abstract

ISO9001:2000 and TS 16949 have become the major quality system management models in present traditional and Hi-tech industries. The Measurement System Analysis (MSA) Reference Manual, on the other hand, is one of the core tools in ISO/TS 16949. MSA aims to evaluate Gauge Repeatability and Reproducibility (GR&R) where the control, monitoring, and maintenance of the measurement process are required in measurement systems so that the measurement capability could be ensured under statistical control. An ideal measurement system should present the statistical characteristic of zero error on any measured product. Nevertheless, such an ideal measurement system hardly exists. Managers therefore have to adopt such measurement systems with unsatisfactory statistical characteristics. Traditional MSA indexes are constructed with definite observed values. Nevertheless, measurements with observed values are not entirely error-free. For this reason, this study proposes to research three cases in a case company and apply the integration of Fuzzy Theory and GR&R to discuss the differences in the evaluation index GR&R and the Number of Distinct Categories (NDC). Substituting fuzzy numbers for definite numbers found that the data of %GR&R were increased and NDC was decreased after fuzzification. Such results verify that the fuzzified %GR&R and NDC become stricter in the determination criterion. The research outcomes could assist the case company in improving the reference data of measurement systems and promoting the measurement quality.

Highlights

In the 1980s, Motorola in the United States created a set of techniques known as Six Sigma to improve quality management systems
Industry personnel involved in quality-related work have applied Gage Repeatability and Reproducibility (GR&R) analysis of measurement variation as judgment criteria, generally using the standards set out in the Automotive Industry Action Group (AIAG) and Measurement System Analysis (MSA) manuals to assess whether measurement systems are capable
This study looks at the case of a machine tool factory in Taiwan, using the test methods and steps to analyze measurement results and calculate equipment variation (EV), appraiser variation (AV), and GR&R

Summary

Introduction

In the 1980s, Motorola in the United States created a set of techniques known as Six Sigma to improve quality management systems This technique was successfully adopted by major enterprises such as General Electric, producing benefits including reduced costs, and gradually leading a new wave of thinking about quality across the globe [1]. Chen [3] explained that in order to produce high quality products, good quality management systems are indispensable. Ensuring that a measurement system is correctly applied in the production process is critical to quality inspection [11]. Industry personnel involved in quality-related work have applied GR&R analysis of measurement variation as judgment criteria, generally using the standards set out in the Automotive Industry Action Group (AIAG) and MSA manuals to assess whether measurement systems are capable.

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