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

2001 ◽  
Vol 10 (1) ◽  
pp. 11-25 ◽  
Author(s):  
Evangelos Triantaphyllou
Keyword(s):  
Multiplicative Ahp

scholarly journals TWO-STAGE PRIORITIZATION PROCEDURE FOR MULTIPLICATIVE AHP-GROUP DECISION MAKING

2020 ◽  
Vol 26 (2) ◽  
pp. 525-545
Author(s):  
Changsheng Lin ◽  
Gang Kou ◽  
Yi Peng ◽  
Fawaz E. Alsaadi
Keyword(s):  
Decision Making ◽  
Group Decision Making ◽  
Group Decision ◽  
Two Stage ◽  
Analytic Hierarchy ◽  
Priority Vector ◽  
The Individual ◽  
Collective Preference ◽  
Hierarchy Process ◽  
Multiplicative Ahp

In this paper, we propose two-stage prioritization procedure (TSPP) for multiplicative Analytic Hierarchy Process-group decision making (AHP-GDM), which involves determining the group priority vector based on the individual pair-wise comparison matrices (PCMs), simultaneously considering the consensus and consistency of the individual PCMs. The first stage of the TSPP involves checking and revising the individual PCMs for reaching the acceptable consensus and consistency. The second stage of the TSPP involves estimating the group priority vector using Bayesian approach. The main characteristics of the proposed TSPP are as follows: 1) It makes full use of the prior information as well as the sample information during the Bayesian revision of the individual PCMs and the Bayesian estimation of the group priority vector; 2) It ensures that the revised individual PCMs reach the acceptable consensus and consistency; 3) It enriches the aggregation methods for the collective preference in multiplicative AHP-GDM. Finally, two numerical examples are used to evaluate the applicability and effectiveness of the proposed TSPP by the comparisons with several other methods.

scholarly journals SCALING TRANSFORMATION IN THE REMBRANDT TECHNIQUE: EXAMINATION OF THE PROGRESSION FACTORS

2013 ◽  
Vol 12 (05) ◽  
pp. 887-903 ◽  
Author(s):  
MICHAEL BRUHN BARFOD ◽  
STEEN LELEUR
Keyword(s):  
Decision Makers ◽  
Decision Problems ◽  
Verbal Responses ◽  
Criteria Weights ◽  
Infrastructure Project ◽  
Complex Decision ◽  
Progression Factor ◽  
Choice Of Technique ◽  
Multiplicative Ahp

This paper examines a decision support system (DSS) for the appraisal of complex decision problems using multi-criteria decision analysis (MCDA). The DSS makes use of a structured hierarchical approach featuring the multiplicative AHP also known as the REMBRANDT technique. The paper addresses the influence of the progression factor used when transforming the decision makers' verbal responses from a semantic to a geometric scale in REMBRANDT. Conventionally, the progression factor 2 is used for calculating scores of alternatives and √2 for calculation of criteria weights. Tests are conducted on the magnitude of these progression factors in order to examine the sensitivity towards the final outcome of an analysis. For illustration a case study concerning the appraisal of a large infrastructure project is presented. The results of the sensitivity calculations are compared with the results of a conventional AHP calculation in order to examine what impact the choice of progression factors as well as the choice of technique have on the decision making. Based on this a modified progression factor for the calculation of scores for the alternatives in REMBRANDT is suggested while the progression factor for the criteria weights is suggested to be kept unchanged. Finally, conclusions and perspectives are set out.

Sign in / Sign up

Export Citation Format

Share Document