Fuzzy rule-based $\tilde p$ and $n\tilde p$ control charts

Article type: Research Article

Authors: Erginel, Nihal

Affiliations: Industrial Engineering Department, Anadolu University, Eskisehir, Turkey

Note: [] Corresponding author. Nihal Erginel, Industrial Engineering Department, Anadolu University, 26555 Eskisehir, Turkey. Tel.: +90 222 321 3550; Fax: +90 222 323 9501; E-mail: nerginel@anadolu.edu.tr

Abstract: In a process using monitoring with p-control charts or np-control charts, due to the uncertainty of the attribute data, traditional control charts may be insufficient. In this case, fuzzy control charts are pertinent control techniques used to capture vagueness. Many studies in the literature are configured with transformation techniques at the decision stage, and in this study, fuzzy control charts are constructed using rules. Therefore, fully fuzzy control charts are first introduced for fuzzy $\tilde p$-control charts based on constant sample size and variable sample size, and fuzzy $n\tilde p$-control charts are subsequently introduced using decision rules for the process state conditions. In addition, “rather in control” and “rather out of control” decisions can be considered in monitoring of the process.

Keywords: Fuzzy set theory, fuzzy control charts, fuzzy rule based approach, fuzzy fraction nonconforming control charts, the fuzzy number of nonconforming units control charts

DOI: 10.3233/IFS-130986

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 159-171, 2014