Consensus Building in AHP-Group Decision Making: A Bayesian Approach

References

• Aczel J., Saaty T. Procedures for synthesizing ratio judgments. J. Math. Psych. (1983) 27(1):93–102Crossref, Google Scholar
• Aguarón J., Moreno-Jiménez J. M. The geometric consistency index. Approximated thresholds. Eur. J. Oper. Res. (2003) 147(1):137–145Crossref, Google Scholar
• Aitchison J.The Statistical Analysis of Compositional Data (1986) (Chapman & Hall, London) Crossref, Google Scholar
• Alho J. M., Kangas J. Analyzing uncertainties in experts' opinions of forest plan performance. Forest Sci. (1997) 43(4):521–528Google Scholar
• Altuzarra A., Moreno-Jiménez J. M., Salvador M. A Bayesian priorization procedure for AHP-group decision making. Eur. J. Oper. Res. (2007) 182(1):367–382Crossref, Google Scholar
• Arbel A., Vargas L. G. The analytic hierarchy process with interval judgments. Proc. IX Internat. Conf. MCMD (1990) Fairfax, VAGoogle Scholar
• Bernardo J. M., Smith A. F. M.Bayesian Theory (1994) (Wiley, New York) Crossref, Google Scholar
• Crawford G., Williams C. A note on the analysis of subjective judgment matrices. J. Math. Psych. (1985) 29(4):387–405Crossref, Google Scholar
• Escobar M. T., Moreno-Jiménez J. M. Reciprocal distributions in the analytic hierarchy process. Eur. J. Oper. Res. (2000) 123(1):154–174Crossref, Google Scholar
• Escobar M. T., Moreno-Jiménez J. M. Aggregation of individual preference structures in AHP-group decision making. Group Decision Negotiation (2007) 16(4):287–301Crossref, Google Scholar
• Fichtner J. On deriving priority vectors from matrices of pairwise comparisons. Socio-Econom. Planning Sci. (1986) 20(6):341–345Crossref, Google Scholar
• Forman E., Peniwati K. Aggregating individual judgments and priorities with the analytic hierarchy process. Eur. J. Oper. Res. (1998) 108(1):165–169Crossref, Google Scholar
• Gargallo P., Moreno-Jiménez J. M., Salvador M. A Bayesian approach based on mixtures for group pattern identification. Group Decision Negotiation (2007) 16(6):485–506Crossref, Google Scholar
• Genest C., Rivest L. P. A statistical look at Saaty's method of estimating pairwise preferences expressed on a ratio scale. J. Math. Psych. (1994) 38(4):477–496Crossref, Google Scholar
• Goodman L. A., Kruskal W. H. Measures of association for cross classifications. J. Amer. Statist. Assoc. (1954) 49:732–764Google Scholar
• Hovanov N. V., Kolari J. W., Sokolov M. V. Deriving weights from general pairwise comparison matrices. Math. Soc. Sci. (2008) 55(2):205–220Crossref, Google Scholar
• Kangas J., Matero J., Pukkala T. Using the analytic hierarchy process in planning of multiple-use forestry. A case study. (1992) . Research Notes 412, Finnish Forest Research Institute, Vantaa, FinlandGoogle Scholar
• Laininen P., Hämäläinen R. P. Analyzing AHP-matrices by regression. Eur. J. Oper. Res. (2003) 148(3):514–524Crossref, Google Scholar
• Leskinen P. Measurement scales and scale independence in the analytic hierarchy process. J. Multicriteria Decision Anal. (2000) 9(4):163–174Crossref, Google Scholar
• Lootsma F. A.Fuzzy Logic for Planning and Decision Making (1997) (Kluwer Academic Publishers, Dordrecht, The Netherlands) Crossref, Google Scholar
• Moreno-Jiménez J. M., Salvador M. Collaborative decision making in e-cognocracy. Maximizing the outer compatibility. (2008) Collaborative Decision Making, Proc. CDM08. IRIT/RR-2008-4-FR (CD)(Institut de Recherche en Informatique de Toulouse, Toulouse, France) Google Scholar
• Moreno-Jiménez J. M., Vargas L. G. A probabilistic study of preference structures in the analytic hierarchy process with interval judgments. Math. Comput. Model. (1993) 17(4/5):73–81Crossref, Google Scholar
• Moreno-Jiménez J. M., Aguarón J., Escobar M. T. Metodología científica en valoración y selección ambiental. Pesquisa Operacional (2001) 21:3–18(Brazilian Rev. Oper. Res.)Crossref, Google Scholar
• Moreno-Jiménez J. M., Aguarón J., Escobar M. T. Decisional tools for consensus building in AHP-group decision making. 12th Mini Euro Conf. (2002) (Brussels, Belgium)Google Scholar
• Moreno-Jiménez J. M., Salvador M., Gargallo P. Systemic decision making: A Bayesian approach in AHP. (2008) . SubmittedGoogle Scholar
• Moreno-Jiménez J. M., Aguarón J., Escobar M. T., Turón A. The multicriteria procedural rationality on Sisdema. Eur. J. Oper. Res. (1999) 119(2):388–403Crossref, Google Scholar
• Moreno-Jiménez J. M., Aguarón J., Raluy A., Turón A. A spreadsheet module for consistent AHP-consensus building. Group Decision Negotiation (2005) 14(2):89–108Crossref, Google Scholar
• Ramanathan R., Ganesh L. S. Group preference aggregation methods employed in AHP: An evaluation and an intrinsic process for deriving members' weightages. Eur. J. Oper. Res. (1994) 79(2):249–265Crossref, Google Scholar
• Ramsay J. O. Maximum likelihood estimation in multidimensional scaling. Psychometrika (1977) 42(2):241–254Crossref, Google Scholar
• Robert C. P., Casella G.Monte Carlo Statistical Methods (2004) 2nd ed.(Springer-Verlag, New York) Crossref, Google Scholar
• Roy B.Mèthodologie Multicritére d'aide à la Décision (1985) (Gestión Económica, Paris) Google Scholar
• Saaty T. L. A scaling method for priorities in hierarchical structures. J. Math. Psych. (1977) 15(3):234–281Crossref, Google Scholar
• Saaty T. L.Multicriteria Decision Making: The Analytic Hierarchy Process (1980) (McGraw-Hill, New York) Google Scholar
• Saaty T. L., Peniwati K.Group Decision Making: Drawing Out and Reconciling Differences (2008) (RWS Publications, Pittsburgh) Google Scholar
• Saaty T. L., Vargas L. G. Uncertainty and rank order in the analytic hierarchy process. Eur. J. Oper. Res. (1987) 32(1):107–117Crossref, Google Scholar
• Salvador M., Gargallo P., Moreno-Jiménez J. M. A Bayesian approach to maximising inner compatibility in AHP-systemic decision making. (2008) . SubmittedGoogle Scholar
• Tanner M. A., Wong W. H. The calculation of posterior distributions by data augmentation (with discussion). J. Amer. Statist. Assoc. (1987) 82:528–550Crossref, Google Scholar
• Wang Y. M., Xu N. R. Linear programming method for solving the group-AHP. J. Southeast Univ. (1990) 20(6):58–63Google Scholar