مرکز منطقه ای اطلاع رساني علوم و فناوري - GENERATING FUZZY REGRESSION CONTROL CHART BY USING FUZZY MOD AND FUZZY MEDIAN TRANSFORMATION TECHNIQUES AND AN APPLICATION

Abstract :

In statistical process control, if there is a consistent increase or decrease in process average and variation and there is a tool wear in process, the regression control chart is the most suitable control chart. Therefore, classical control chart is used in the situation that the data is precise. In case that the monitoring process includes vagueness which arises from measurement system or environmental conditions, fuzzy control charts based on fuzzy set theory are useful tools used to model process. The fuzzy regression control chart is a functional technique to evaluate the process in which the avarege has a trend and data represents a linguistic or aprroximate value. The theoratical structure of fuzzy regression control chart and fuzzy range control chart was generated by Şentürk (2010) and an application was carried out for triangular fuzzy number by using α-cut fuzzy midrange technique. In this paper, the theoretical structure of fuzzy regression control chart and fuzzy range control chart are generated for fuzzy mode and fuzzy median by using trapezoidal fuzzy numbers for the first time. An application based on fuzzy median technique carried out for fuzzy regression control chart and fuzzy range control chart. The results are interpreted.