Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations
For actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. Firs...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Springer
2014-09-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868520.pdf |
| _version_ | 1811300775742144512 |
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| author | Zhen Zhang Chonghui Guo |
| author_facet | Zhen Zhang Chonghui Guo |
| author_sort | Zhen Zhang |
| collection | DOAJ |
| description | For actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. First, the additive consistency of an uncertain 2-tuple linguistic preference relation is defined. Based on the defined additive consistency, we define acceptable incomplete uncertain 2-tuple linguistic preference relation and propose two new algorithms, including an iterative algorithm and an optimization-based algorithm to estimate the missing elements for an uncertain 2-tuple linguistic preference relation. Finally, some numerical examples are presented to illustrate the applicability of the two algorithms. |
| first_indexed | 2024-04-13T06:57:16Z |
| format | Article |
| id | doaj.art-bc03916040ab4ab5ac2a22fb51d5d363 |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-13T06:57:16Z |
| publishDate | 2014-09-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-bc03916040ab4ab5ac2a22fb51d5d3632022-12-22T02:57:13ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832014-09-017510.1080/18756891.2013.856254Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relationsZhen ZhangChonghui GuoFor actual decision making problems, decision makers sometimes may have difficulty to provide all the preference information over alternatives through pairwise comparisons. In this paper, we focus on estimating missing elements for an incomplete uncertain 2-tuple linguistic preference relation. First, the additive consistency of an uncertain 2-tuple linguistic preference relation is defined. Based on the defined additive consistency, we define acceptable incomplete uncertain 2-tuple linguistic preference relation and propose two new algorithms, including an iterative algorithm and an optimization-based algorithm to estimate the missing elements for an uncertain 2-tuple linguistic preference relation. Finally, some numerical examples are presented to illustrate the applicability of the two algorithms.https://www.atlantis-press.com/article/25868520.pdfuncertain linguistic preference relation2-tuple linguisticincomplete preference relationadditive consistencygoal programming |
| spellingShingle | Zhen Zhang Chonghui Guo Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations International Journal of Computational Intelligence Systems uncertain linguistic preference relation 2-tuple linguistic incomplete preference relation additive consistency goal programming |
| title | Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations |
| title_full | Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations |
| title_fullStr | Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations |
| title_full_unstemmed | Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations |
| title_short | Consistency-based algorithms to estimate missing elements for uncertain 2-tuple linguistic preference relations |
| title_sort | consistency based algorithms to estimate missing elements for uncertain 2 tuple linguistic preference relations |
| topic | uncertain linguistic preference relation 2-tuple linguistic incomplete preference relation additive consistency goal programming |
| url | https://www.atlantis-press.com/article/25868520.pdf |
| work_keys_str_mv | AT zhenzhang consistencybasedalgorithmstoestimatemissingelementsforuncertain2tuplelinguisticpreferencerelations AT chonghuiguo consistencybasedalgorithmstoestimatemissingelementsforuncertain2tuplelinguisticpreferencerelations |