International Journal of Computational Intelligence Systems

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Volume 10, Issue 1, 2017, Pages 721 - 733

Process Capability Analysis Using Interval Type-2 Fuzzy Sets

Authors
Abbas Parchami1, parchami@uk.ac.ir, Sezi Çevik Onar2, cevikse@itu.edu.tr, Başar Öztayşi2, oztaysib@itu.edu.tr, Cengiz Kahraman2, kahramanc@itu.edu.tr
1Department of Statistics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran
2Istanbul Technical University, Industrial Engineering Department 34367 Macka Besiktas Istanbul, Turkey
Received 20 January 2016, Accepted 5 February 2017, Available Online 20 February 2017.
DOI
10.2991/ijcis.2017.10.1.48How to use a DOI?
Keywords
process capability; fuzzy quality; interval type-2 fuzzy sets; specification limits
Abstract

In some cases, the specification limits of a quality characteristic should be defined under uncertain information. In the literature, process capability analyses have been handled by using type-1 fuzzy sets under fuzziness up to now. In this paper, we develop the concept of type-2 fuzzy quality and use it in the calculation of process capability. Lower and upper specification limits are considered as type-2 fuzzy sets. We define the addition and subtraction operations for introducing interval type-2 fuzzy process capability indices. We can calculate the nonconforming percentage of the production using the developed equations. We present some numerical examples to show the applicability of the proposed equations.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
10 - 1
Pages
721 - 733
Publication Date
2017/02/20
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2017.10.1.48How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Abbas Parchami
AU  - Sezi Çevik Onar
AU  - Başar Öztayşi
AU  - Cengiz Kahraman
PY  - 2017
DA  - 2017/02/20
TI  - Process Capability Analysis Using Interval Type-2 Fuzzy Sets
JO  - International Journal of Computational Intelligence Systems
SP  - 721
EP  - 733
VL  - 10
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2017.10.1.48
DO  - 10.2991/ijcis.2017.10.1.48
ID  - Parchami2017
ER  -