Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data
When solving real-world decision-making problems, it is important to deal with imprecise quantitative values modeled by numerical intervals. Although a different extension of the multi-criteria decision-making methods could deal with intervals, many of them are complex and lack such properties as ro...
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| Format: | Article |
| Language: | English |
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Wrocław University of Science and Technology
2024-01-01
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| Series: | Operations Research and Decisions |
| Online Access: | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_13.pdf |
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| author | Andrii Shekhovtsov Jean Dezert Wojciech Sałabun |
| author_facet | Andrii Shekhovtsov Jean Dezert Wojciech Sałabun |
| author_sort | Andrii Shekhovtsov |
| collection | DOAJ |
| description | When solving real-world decision-making problems, it is important to deal with imprecise quantitative values modeled by numerical intervals. Although a different extension of the multi-criteria decision-making methods could deal with intervals, many of them are complex and lack such properties as robustness to rank reversal. We present an extension of the stable preference ordering towards ideal solution (SPOTIS) rank reversal free method to deal with imprecise data. This extension of SPOTIS is also rank reversal-free. It offers a new efficient approach for solving multi-criteria decision-analysis problems under imprecision and can use different metrics of distance between intervals. The proposed approach is compared to the popular interval technique for order preference by similarity to ideal solution) extension and performs very similarly to it. We also show on a practical example that the interval TOPSIS approach is not robust to rank reversal, contrary to our new SPOTIS extension approach, which offers a stable decision-making behavior. (original abstract) |
| format | Article |
| id | doaj-art-6e1c846c0bd9408da51249c683c735d2 |
| institution | Kabale University |
| issn | 2081-8858 2391-6060 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | Wrocław University of Science and Technology |
| record_format | Article |
| series | Operations Research and Decisions |
| spelling | doaj-art-6e1c846c0bd9408da51249c683c735d22025-08-20T03:28:06ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602024-01-01vol. 34no. 3243266171700390Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise DataAndrii Shekhovtsov0Jean Dezert1Wojciech Sałabun2West Pomeranian University of Technology in Szczecin, PolandThe French Aerospace Lab - ONERA, Palaiseau, FranceWest Pomeranian University of Technology in Szczecin, PolandWhen solving real-world decision-making problems, it is important to deal with imprecise quantitative values modeled by numerical intervals. Although a different extension of the multi-criteria decision-making methods could deal with intervals, many of them are complex and lack such properties as robustness to rank reversal. We present an extension of the stable preference ordering towards ideal solution (SPOTIS) rank reversal free method to deal with imprecise data. This extension of SPOTIS is also rank reversal-free. It offers a new efficient approach for solving multi-criteria decision-analysis problems under imprecision and can use different metrics of distance between intervals. The proposed approach is compared to the popular interval technique for order preference by similarity to ideal solution) extension and performs very similarly to it. We also show on a practical example that the interval TOPSIS approach is not robust to rank reversal, contrary to our new SPOTIS extension approach, which offers a stable decision-making behavior. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_13.pdf |
| spellingShingle | Andrii Shekhovtsov Jean Dezert Wojciech Sałabun Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data Operations Research and Decisions |
| title | Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data |
| title_full | Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data |
| title_fullStr | Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data |
| title_full_unstemmed | Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data |
| title_short | Generalization of Stable Preference Ordering Towards Ideal Solution Approach for Working with Imprecise Data |
| title_sort | generalization of stable preference ordering towards ideal solution approach for working with imprecise data |
| url | https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no3_13.pdf |
| work_keys_str_mv | AT andriishekhovtsov generalizationofstablepreferenceorderingtowardsidealsolutionapproachforworkingwithimprecisedata AT jeandezert generalizationofstablepreferenceorderingtowardsidealsolutionapproachforworkingwithimprecisedata AT wojciechsałabun generalizationofstablepreferenceorderingtowardsidealsolutionapproachforworkingwithimprecisedata |