The process incapability index under fuzziness with an application for decision making
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 com...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2014-01-01
|
| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868461.pdf |
| _version_ | 1818008558100283392 |
|---|---|
| author | İhsan Kaya |
| author_facet | İhsan Kaya |
| author_sort | İhsan Kaya |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-14T05:32:00Z |
| format | Article |
| id | doaj.art-7bad2bd7361a4e57a98887fbb1367430 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-14T05:32:00Z |
| publishDate | 2014-01-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-7bad2bd7361a4e57a98887fbb13674302022-12-22T02:09:46ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832014-01-017110.1080/18756891.2013.858905The process incapability index under fuzziness with an application for decision makingİhsan KayaProcess 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.https://www.atlantis-press.com/article/25868461.pdfProcess incapability indexinaccuracy indeximprecision indexfuzzy set theorydecision making |
| spellingShingle | İhsan Kaya The process incapability index under fuzziness with an application for decision making International Journal of Computational Intelligence Systems Process incapability index inaccuracy index imprecision index fuzzy set theory decision making |
| title | The process incapability index under fuzziness with an application for decision making |
| title_full | The process incapability index under fuzziness with an application for decision making |
| title_fullStr | The process incapability index under fuzziness with an application for decision making |
| title_full_unstemmed | The process incapability index under fuzziness with an application for decision making |
| title_short | The process incapability index under fuzziness with an application for decision making |
| title_sort | process incapability index under fuzziness with an application for decision making |
| topic | Process incapability index inaccuracy index imprecision index fuzzy set theory decision making |
| url | https://www.atlantis-press.com/article/25868461.pdf |
| work_keys_str_mv | AT ihsankaya theprocessincapabilityindexunderfuzzinesswithanapplicationfordecisionmaking AT ihsankaya processincapabilityindexunderfuzzinesswithanapplicationfordecisionmaking |