Managing Critical Rank Reversals in TOPSIS: A Mathematical Framework for Ensuring Stable Ideal Solutions
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 H.S. Shih, Huan-Jyh Shyur, Huang Hu
單位
出版者
著錄名稱、卷期、頁數 Operations Research and Decisions, Vol.36, No.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
SDGS 尊嚴就業與經濟發展,產業創新與基礎設施,減少不平等