Title: A new development of an adaptive X − R control chart under a fuzzy environment

Authors: Hamed Sabahno; Seyed Meysam Mousavi; Amirhossein Amiri

Addresses: Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran ' Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran ' Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran

Abstract: It is proved that adaptive control charts have better performance than classical control charts due to adaptability of some or all of their parameters to the previous process information. Fuzzy classical control charts have been occasionally considered by many researchers in the last two decades; however, fuzzy adaptive control charts have not been investigated. In this paper, we introduce a new adaptive X − R fuzzy control chart that allows all of the charts' parameters to adapt based on the process state in the previous sample. Also, the warning limits are redefined in the fuzzy environments. We utilise fuzzy mode defuzzification technique to design the decision procedure in the proposed fuzzy adaptive control chart. Finally, an illustrative example is used to present the application of the proposed control chart.

Keywords: X − R control charts; adaptive control charts; fuzzy uncertainty; trapezoidal fuzzy numbers; TrFNs.

DOI: 10.1504/IJDMMM.2019.096547

International Journal of Data Mining, Modelling and Management, 2019 Vol.11 No.1, pp.19 - 44

Accepted: 05 May 2018
Published online: 05 Dec 2018 *

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