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FUZZY MULTINOMIAL CONTROL CHART WITH VARIABLE SAMPLE SIZE

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Author(s): A. PANDURANGAN | R. VARADHARAJAN

Journal: International Journal of Engineering Science and Technology
ISSN 0975-5462

Volume: 3;
Issue: 9;
Start page: 6984;
Date: 2011;
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Keywords: Multinomial distribution | FM-chart | p–chart | Variable sample size | Linguistic variable | Membership function | Fuzzy statistics.

ABSTRACT
The control chart technique is being widely used in industries to monitor a process for quality improvement. One of the basic charts for attributes is the p-chart. For a p – chart each item is classified as either nonconforming or conforming to the specified quality characteristic. In Some cases, an item may be classified inmore than two categories such as “bad”, “medium”, “good”, and “excellent”. Based on this concept, Amirzadeh et al. [1] have developed Fuzzy Multinomial chart (FM-chart) with the fixed sample size (FSS). In this paper a Fuzzy Multinomial process with Variable Sample Size (VSS) is proposed and the control limits for the FM charthave been obtained using multinomial distribution. The proposed method is compared with the conventional p – chart. It is seen that FM chart with VSS performs better than the conventional chart.
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