期刊論文
| 學年 | 114 |
|---|---|
| 學期 | 2 |
| 出版（發表）日期 | 2026-02-06 |
| 作品名稱 | Managing Critical Rank Reversals in TOPSIS: A Mathematical Framework for Ensuring Stable Ideal Solutions |
| 作品名稱（其他語言） | |
| 著者 | Hsu-Shih Shih; Huan-Jyh Shyur; Huang-Ching Hu |
| 單位 | |
| 出版者 | |
| 著錄名稱、卷期、頁數 | Operations Research and Decisions 36(3) |
| 摘要 | This research examines the impact of non-dominated alternatives on rankings and explores rank reversal (RR) in the Technique for Order of Preference by Similarity to Ideal Solution (TOPSIS), a widely used distance-based MCDM method. A theoretical analysis reveals how the mathematical operations of TOPSIS contribute to RR through the relative closeness and separation measures. Four scenarios are outlined to identify conditions where RR becomes unavoidable. The study provides new insights into the mathematical foundations of RR and its implications for decision makers. To address this issue, three strategies are proposed: identifying non-dominated alternatives, recognizing conditions leading to close performance margins, and normalizing ideal solutions to fixed reference values. These findings offer practical guidance for developing distance-based MCDM methods that minimize rank reversal. |
| 關鍵字 | Rank reversal; Dominance; Relative closeness; Linear normalization; Extreme alternative; TOPSIS |
| 語言 | en |
| ISSN | 2391-6060 |
| 期刊性質 | 國外 |
| 收錄於 | ESCI Scopus |
| 產學合作 | |
| 通訊作者 | Huan-Jyh Shyur |
| 審稿制度 | 是 |
| 國別 | POL |
| 公開徵稿 | |
| 出版型式 | ,電子版 |
| 相關連結 |
機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/129673 ) |