The Core of Consistency in AHP-Group Decision Making

This paper presents a new tool, the Consistency Consensus Matrix, designed to encourage the search for consensus in group decision making when using the Analytic Hierarchy Process (AHP). The procedure exploits one of the characteristics of AHP: the possibility of measuring consistency in judgement elicitation. Using two other tools, Preference Structures and Stability Intervals, we derive the Consistency Consensus Matrix that corresponds to the actor’s core of consistency. The performance analysis of the preference structure obtained from this matrix provides us with valuable information in search for knowledge. The new tool is illustrated by means of a case study adapted from a real-life experiment in e-democracy developed for the City Council of Zaragoza (Spain).

[1]  G. Crawford,et al.  A note on the analysis of subjective judgment matrices , 1985 .

[2]  P. Harker.  Incomplete pairwise comparisons in the analytic hierarchy process , 1987 .

[3]  Thomas L. Saaty,et al.  Group Decision Making and the AHP , 1989 .

[4]  Luis G. Vargas,et al.  A probabilistic study of preference structures in the analytic hierarchy process with interval judgments , 1993 .

[5]  R. Ramanathan,et al.  Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages , 1994 .

[6]  E. Forman,et al.  Aggregating individual judgments and priorities with the analytic hierarchy process , 1998, Eur. J. Oper. Res..

[7]  José María Moreno-Jiménez,et al.  Multicriteria procedural rationality on SISDEMA , 1999, Eur. J. Oper. Res..

[8]  José María Moreno-Jiménez,et al.  Reciprocal distributions in the analytic hierarchy process , 2000, Eur. J. Oper. Res..

[9]  José María Moreno-Jiménez,et al.  Local stability intervals in the analytic hierarchy process , 2000, Eur. J. Oper. Res..

[10]  Bodo Glaser.  Fundamentals of Decision Making , 2002 .

[11]  Bruce L. Golden,et al.  Visualizing group decisions in the analytic hierarchy process , 2003, Comput. Oper. Res..

[12]  José María Moreno-Jiménez,et al.  The geometric consistency index: Approximated thresholds , 2003, Eur. J. Oper. Res..

[13]  José María Moreno-Jiménez,et al.  Consistency stability intervals for a judgement in AHP decision support systems , 2003, Eur. J. Oper. Res..

[14]  José María Moreno-Jiménez,et al.  E-democracy and knowledge: A multicriteria framework for the new democratic era , 2003 .

[15]  Alfonso Mateos,et al.  Monte Carlo Simulation Techniques in a Decision Support System for Group Decision Making , 2005 .

[16]  José María,et al.  A Spreadsheet Module for Consistent Consensus Building in AHP-Group Decision Making , 2005 .

[17]  M. T. Escobar,et al.  Aggregation of Individual Preference Structures in Ahp-Group Decision Making , 2007 .