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FUZZY SET BASED PROTOCOLS FOR PROCESS QUALITY CONTROL

M. DELGADO

Dep. Computer Science and A.I. University of Granada 18071, Granada, Spain

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P. OLAVARRIETA

Dep. of Electricity Universidad Tecnologica Metropolitana, Santiago, Chile

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P. VERGARA

Dep. of Industry Universidad Tecnologica Metropolitana, Santiago, Chile

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https://doi.org/10.1142/S0218488506003832Cited by:3 (Source: Crossref)

Abstract

Industrial process quality control has as yet been carried out using Shewhart's classic charts and control charts with probabilistic limits, using sampling statistics for average and deviation and , respectively, or C_p and C_pk, derived from them, in order to determine whether the process is precise or imprecise. Although these statistics has been formulated using crisp mathematics, their use returns statements about "quality control" which are full of vagueness (for example, the aforementioned idea of precise or imprecise processes). For this reason, it seems both natural and interesting to introduce tools from Fuzzy Sets Theory for the formulation of quality control models.

Fuzzy Sets shall be used to study process quality capability and to generate a bilateral simultaneous control for the central tendency and a unilateral one for variability. We shall define linguistic rules in order to perform this control and membership functions for the sample control mean and deviation, and ŝ.

Keywords:

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