Two new cases of rank reversals when the AHP and some of its additive variants are used that do not occur with the multiplicative AHP

By Evangelos Triantaphyllou. 2001

160 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/637399b821a9d84f25adb843e797f3b5ecd1a264

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Zeshui Xu
2. Huchang Liao
3. Alessio Ishizaka
4. Ashraf Labib
5. Francisco Herrera
6. Xiaoting Wang
7. Xingli Wu
8. Antucheviciene Jurgita

In Management Science and Operations Research

1. Huchang Liao
2. Zeshui Xu
3. Francisco Herrera
4. Alessio Ishizaka
5. Xingli Wu
6. Ashraf Labib
7. Xiaoting Wang
8. Arian Hafezalkotob

In Statistics and Probability

1. Huchang Liao
2. Francisco Herrera
3. Zeshui Xu
4. Ashraf Labib
5. Alessio Ishizaka
6. Xiaoting Wang
7. Xingli Wu
8. Arian Hafezalkotob

Citations in the corpus

• Ranking irregularities when evaluating alternatives by using some ELECTRE methods (2008, methodology): “In previous studies [Triantaphyllou, 2000 and 2001], it was found that the Multiplicative AHP does not suffer of the previous three types of ranking irregularities.”
• Review of the main developments in the analytic hierarchy process (2011, methodology): “As this phenomenon is not unique to AHP but to all additive models (Triantaphyllou, 2001; Y. Wang & Luo, 2009), Belton and Gear, inspired by the weighted sum model, suggested using a normalisation by dividing the score of each alternative only by the score of the best alternative under each criteria”
• A Comparative Analysis of the Rank Reversal Phenomenon in the EDAS and TOPSIS Methods (2018, methodology): “Most of the studies in this field have been done on the AHP method (Barzilai and Golany, 1994; Schenkerman, 1994; Stam and Silva, 1997; Triantaphyllou, 2001; Wang and Elhang, 2006; Saaty and Sagir, 2009).”
• Analytic Hierarchy Process and Expert Choice: Benefits and limitations (2009, background): “reversal phenomenon is not unique to AHP but to all additive models (Triantaphyllou, 2001; Wang and Luo, 2009).”
• Analytical hierarchy process: revolution and evolution (2021, background): “Multiplicative variants of AHP have been defined to prevent rank reversal (Triantaphyllou, 2001).”
• A critical review of multi-criteria decision making methods with special reference to forest management and planning (2009, background): “For this reason,AHPand someof its variants are consideredbysome as their preferred method (Triantaphyllou, 2001).”
• Probabilistic Linguistic MULTIMOORA: A Multicriteria Decision Making Method Based on the Probabilistic Linguistic Expectation Function and the Improved Borda Rule (2018, methodology): “Thanks to the multiplicative formulations, compared with the AHP method [21], MAHP is characterized by the transitivity property and it is unnecessary to carry on consistency checking [38].”