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Fuzzy and s Charts: Left & Right Dominance Approach

  • Thanh-Lam NguyenEmail author
  • Ming-Hung Shu
  • Ying-Fang Huang
  • Bi-Min Hsu
Conference paper
Part of the Studies in Computational Intelligence book series (SCI, volume 457)

Abstract

Traditionally, variable control charts are constructed based on precise data collected from well-defined quality characteristics of manufacturing products. However, in the real world, there are many occasions that the stated quality characteristic of products, such as surface roughness of optical lens, contains certain degree of imprecise information which is called fuzzy data. As a result, the traditional method for constructing the variable control charts exist a limitation of dealing with fuzzy data. Therefore, in this paper, and S control charts for fuzzy data are proposed. The fuzzy control limits are obtained on the basis of employing a well-known principle called resolution identity in the fuzzy theory. And in order to evaluate of the control charts, a fuzzy ranking method, named left and right dominance, is presented to classify the underlying manufacturing process condition. Finally, a practical example is provided to demonstrate the applicability of the proposed methodologies.

Keywords

Fuzzy numbers Fuzzy control chart Left and Right Dominance 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Thanh-Lam Nguyen
    • 1
    Email author
  • Ming-Hung Shu
    • 2
  • Ying-Fang Huang
    • 2
  • Bi-Min Hsu
    • 3
  1. 1.Graduate Institute of Mechanical and Precision EngineeringNational Kaohsiung University of Applied SciencesKaohsiungTaiwan
  2. 2.Department of Industrial Engineering and ManagementNational Kaohsiung University of Applied SciencesKaohsiungTaiwan
  3. 3.Department of Industrial Engineering and ManagementCheng Shiu UniversityKaohsiungTaiwan

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