RETRACTED: An attribute studentized fuzzy interval-valued chart based on normalized transformation

Abstract

The attribute data, in general, is as important as variable data for data analysis and quality control which can offer more information and modify the error. And to change the type of multiple observations is applied to enhance the effect of control chart. In this thesis, the approach of normalized transformation would be employed to transfer the attribute data become variable data and extend the data type of interval observation. Using the transfer result construct a new control chart, attribute studentized fuzzy interval-valued (ASFIV) chart, with attribute fuzzy interval-valued data which is used to control the shift of quality characteristics for the manufacturing, electrical industry, traditional industry, education science and management fields where quality characteristics include the education score, sales satisfaction, numbers of defective product and so on. The ASFIV chart with interval observation of quality characteristic can point out the variation and degree of shift for the controlled characteristic in various industries. As the interval-valued quality characteristic, to be more specific, is generated which is faster detection the shift than the approach of traditional control chart. Moreover, the numerical studies are used to explain the significant consequent for application of the new ASFIV chart in this study. As such, the studentized fuzzy chart by attribute interval-valued observations could obtain the effective measurement outcome by the attribute data for the practical phenomena and provide related information for decision making of education policy, performance management and sustainable development of industry etc.