On fuzzy and probabilistic control charts

Hassen Taleb · Mohamed Limam

87 citations0/0 files storedInternational Journal of Production Research

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Advanced Statistical Process Monitoring Fault Detection and Control Systems Fuzzy Logic and Control Systems

Abstract

In this article, different procedures of constructing control charts for linguistic data, based on fuzzy and probability theory, are discussed. Three sets of membership functions, with different degrees of fuzziness, are proposed for fuzzy approaches. A comparison between fuzzy and probability approaches, based on the Average Run Length and samples under control, is conducted for real data. Contrary to the conclusions of Raz and Wang (1990b) the choice of degree of fuzziness affected the sensitivity of control charts.

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References

1967Quality Control and Industrial Statistics.1975Quality Control and Industrial Statistics.1997Control Charts Based on Attribute Data: Bibliography and Review 1990On the construction of control charts using linguistic variables 1993Control charts for process average and variability based on linguistic data 1985Monitoring Multinomial Processes 1990Probabilistic and membership approaches in the construction of control charts for linguistic data

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