Development of fuzzy X - S control charts with unbalanced fuzzy data

ÖZDEMİR A.

SOFT COMPUTING, cilt.25, sa.5, ss.4015-4025, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 5
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00500-020-05430-5
  • Dergi Adı: SOFT COMPUTING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, zbMATH
  • Sayfa Sayıları: ss.4015-4025
  • Anahtar Kelimeler: Quality control, Fuzzy (X)over-bar - S control charts, Unbalanced data, Triangular fuzzy number, Fuzzy process capability indices, TILDE
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

Statistical process control is an effective quality control technique to monitor a production process with balanced data under certain conditions. However, there are some situations where dealing with uncertainty and unbalanced data is considered. In such situations, the traditional statistical control charts are not effective to obtain control limits. The aim of this paper is fourfold. First of all, the collected unbalanced data are converted to triangular fuzzy numbers for each sample. Second, this paper develops a fuzzy (X) over bar - S control chart while dealing with unbalanced fuzzy data. Third, a proposed approach is presented on how to deal with unbalanced fuzzy data for calculations of control limits. Besides, fuzzy process capability analyses are conducted to measure process performance. Finally, an illustrative example is conducted to show the effectiveness of the proposed fuzzy (X) over bar - S control chart with unbalanced data for uncertainty.