An approach to avoiding rank reversal in AHP

Ying Ming Wang; T. M S Elhag

doi:10.1016/j.dss.2005.12.002

An approach to avoiding rank reversal in AHP

Ying Ming Wang
, T. M S Elhag

Research output: Contribution to journal › Article › peer-review

Abstract

Analytic hierarchy process (AHP) has been considerably criticized for possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper looks into the cause of rank reversal phenomenon and finds that rank reversal is caused by change of local priorities before and after an alternative is added or deleted. An approach is therefore proposed to keep the local priorities unchanged to avoid rank reversal phenomenon. Two well-known numerical examples are re-examined using the proposed approach to demonstrate its validity and practicability in rank preservation. © 2005 Elsevier B.V. All rights reserved.

Original language	English
Pages (from-to)	1474-1480
Number of pages	6
Journal	Decision Support Systems
Volume	42
Issue number	3
DOIs	https://doi.org/10.1016/j.dss.2005.12.002
Publication status	Published - Dec 2006

Keywords

Analytic hierarchy process
Multiple criteria decision making
Rank preservation
Rank reversal

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10.1016/j.dss.2005.12.002

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title = "An approach to avoiding rank reversal in AHP",

abstract = "Analytic hierarchy process (AHP) has been considerably criticized for possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper looks into the cause of rank reversal phenomenon and finds that rank reversal is caused by change of local priorities before and after an alternative is added or deleted. An approach is therefore proposed to keep the local priorities unchanged to avoid rank reversal phenomenon. Two well-known numerical examples are re-examined using the proposed approach to demonstrate its validity and practicability in rank preservation. {\textcopyright} 2005 Elsevier B.V. All rights reserved.",

keywords = "Analytic hierarchy process, Multiple criteria decision making, Rank preservation, Rank reversal",

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year = "2006",

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doi = "10.1016/j.dss.2005.12.002",

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T1 - An approach to avoiding rank reversal in AHP

AU - Wang, Ying Ming

AU - Elhag, T. M S

PY - 2006/12

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N2 - Analytic hierarchy process (AHP) has been considerably criticized for possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper looks into the cause of rank reversal phenomenon and finds that rank reversal is caused by change of local priorities before and after an alternative is added or deleted. An approach is therefore proposed to keep the local priorities unchanged to avoid rank reversal phenomenon. Two well-known numerical examples are re-examined using the proposed approach to demonstrate its validity and practicability in rank preservation. © 2005 Elsevier B.V. All rights reserved.

AB - Analytic hierarchy process (AHP) has been considerably criticized for possible rank reversal phenomenon caused by the addition or deletion of an alternative. This paper looks into the cause of rank reversal phenomenon and finds that rank reversal is caused by change of local priorities before and after an alternative is added or deleted. An approach is therefore proposed to keep the local priorities unchanged to avoid rank reversal phenomenon. Two well-known numerical examples are re-examined using the proposed approach to demonstrate its validity and practicability in rank preservation. © 2005 Elsevier B.V. All rights reserved.

KW - Analytic hierarchy process

KW - Multiple criteria decision making

KW - Rank preservation

KW - Rank reversal

U2 - 10.1016/j.dss.2005.12.002

DO - 10.1016/j.dss.2005.12.002

M3 - Article

SN - 0167-9236

VL - 42

SP - 1474

EP - 1480

JO - Decision Support Systems

JF - Decision Support Systems

IS - 3

ER -

An approach to avoiding rank reversal in AHP

Abstract

Keywords

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