International Journal of Computational Intelligence Systems

Volume 7, Issue 1, February 2014, Pages 114 - 128

The process incapability index under fuzziness with an application for decision making

Authors
İhsan Kaya
Corresponding Author
İhsan Kaya
Received 22 August 2012, Accepted 3 March 2013, Available Online 3 February 2014.
DOI
10.1080/18756891.2013.858905How to use a DOI?
Keywords
Process incapability index, inaccuracy index, imprecision index, fuzzy set theory, decision making
Abstract

Process capability indices (PCIs) provide numerical measures on whether a process confirms to the defined capability prerequisite. They have been used to measure the ability of process to decide how well the process meets the specification limits (SLs). The PCIs have been successfully applied by companies for evaluating the quality and productivity performance. In this paper, one of the most important PCIs, process incapability index () that provides more process information than other PCIs is analyzed together with the indices inaccuracy () and imprecision () under uncertainty. When there are some uncertainties in process parameters, traditional PCIs have failed to summarize process performance. Therefore the fuzzy set theory (FST) can be employed to overcome this problem. In this paper, the index is analyzed by using the FST to obtain more sensitiveness and a deep and flexible analysis. The fuzzy estimations of the index are derived for both of triangular and trapezoidal fuzzy numbers. The obtained fuzzy incapability index () is applied in a decision making process to determine the most appropriate supplier among alternatives for a construction firm in Turkey.

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

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
7 - 1
Pages
114 - 128
Publication Date
2014/02/03
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.1080/18756891.2013.858905How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - İhsan Kaya
PY  - 2014
DA  - 2014/02/03
TI  - The process incapability index under fuzziness with an application for decision making
JO  - International Journal of Computational Intelligence Systems
SP  - 114
EP  - 128
VL  - 7
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.1080/18756891.2013.858905
DO  - 10.1080/18756891.2013.858905
ID  - Kaya2014
ER  -