&agr;-Cut fuzzy control charts for linguistic data

Authors:
Murat Gülbay;Cengiz Kahraman;Da Ruan
Affiliations:
Istanbul Technical University, Department of Industrial Engineering, Macka 34367, Istanbul, Turkey;Istanbul Technical University, Department of Industrial Engineering, Macka 34367, Istanbul, Turkey;Belgian Nuclear Research Centre (SCK•CEN), Boeretang 200, B-2400 Mol, Belgium
Venue:
International Journal of Intelligent Systems
Year:
2004

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Abstract

The major contribution of fuzzy set theory is its capability of representing vague data. Fuzzy logic offers a systematic base in dealing with situations that are ambiguous or not well defined. In the literature, there exist some fuzzy control charts developed for linguistic data that are mainly based on membership and probabilistic approaches. In this article, &agr;-cut control charts for attributes are developed. This approach provides the ability of determining the tightness of the inspection by selecting a suitable &agr;-level: The higher &agr; the tighter inspection. The article also presents a numerical example and interprets and compares other results with the approaches developed previously. © 2004 Wiley Periodicals, Inc. Int J Int Syst 19: 1173–1195, 2004.