Fuzzy Regression Control Chart Based on alpha-cut Approximation

Sentuerk S.

INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS, vol.3, no.1, pp.123-140, 2010 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 3 Issue: 1
  • Publication Date: 2010
  • Journal Name: INTERNATIONAL JOURNAL OF COMPUTATIONAL INTELLIGENCE SYSTEMS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.123-140
  • Keywords: fuzzy sets, fuzzy numbers, control charts, regression control chart, tool wearing, STATISTICAL PROCESS-CONTROL, LINGUISTIC DATA, CONSTRUCTION, AVERAGE
  • Anadolu University Affiliated: No

Abstract

The fuzzy regression control chart is a functional technique to evaluate the process in which the average has a trend and the data represents a linguistic or approximate value. In this study, the theoretical structure of the "alpha-level fuzzy midrange for alpha-cut fuzzy X -regression control chart" is proposed for triangular (TFN) and trapezoidal (TrFN) membership functions. In addition, the real world application is evaluated with fuzzy X regression control charts and fuzzy (R) over tilde control charts for the triangular membership function.