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Interval Type-2 Fuzzy c-Control Charts: An Application in a Food Company
Volume 28, Issue 2 (2017), pp. 269–283
Pub. online: 1 January 2017      Type: Research Article      Open accessOpen Access
Received
1 November 2016
Accepted
1 May 2017
Published
1 January 2017

Abstract

Many papers exist on ordinary fuzzy control charts in literature in order to consider the vagueness and uncertainty in observation data. These are on both variable and attribute control charts. Several extensions of fuzzy sets have appeared in literature since ordinary fuzzy sets emerged. Type-2 fuzzy sets are one of these extensions. Type-2 fuzzy sets take into account the imprecision of membership functions in three dimensions. The aim of this paper is to develop interval type-2 fuzzy control charts for number of nonconformities, briefly c-control charts. In this paper, the theoretical structure of interval type-2 fuzzy c-control charts is proposed for the first time and the application is implemented in a food company.

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Biographies

Şentürk Sevil
sdeligoz@anadolu.edu.tr

S. Ṣentürk is an assoc. professor at the Department of Statistics, Anadolu University, Turkey. She received her PhD from Anadolu University, in 2006. She is interested in statistics, quality control, fuzzy sets, decision-making theories and multi-criteria analysis.

Antucheviciene Jurgita
jurgita.antucheviciene@vgtu.lt

J. Antucheviciene is a professor at the Department of Construction Technology and Management at Vilnius Gediminas Technical University, Lithuania. She received her PhD in 2005. Her research interests include multi-criteria analysis, decision-making theories and decision support systems, sustainable development, construction management and investment.


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© 2017 Vilnius University
Open access article under the CC BY license.

Keywords
fuzzy control charts interval type-2 fuzzy sets c-control charts nonconformity process control

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