A Bayesian Analysis Framework for Decision Making with Interval Pairwise Comparison Judgments

References

• Aguarón J, Moreno-Jiménez JM (2003) The geometric consistency index: Approximated thresholds. Eur. J. Oper. Res. 147(1):137–145.Crossref, Google Scholar
• Ahn BS (2017) The analytic hierarchy process with interval preference statements. Omega 67:177–185.Crossref, Google Scholar
• Altuzarra A, Moreno-Jiménez JM, Salvador M (2010) Consensus building in AHP-group decision making: A Bayesian approach. Oper. Res. 58(6):1755–1773.Link, Google Scholar
• Anand P, Pattanaik P, Puppe C, eds. (2009) The Handbook of Rational and Social Choice (Oxford University Press, Oxford, UK).Crossref, Google Scholar
• Arbel A (1989) Approximate articulation of preference and priority derivation. Eur. J. Oper. Res. 43(3):317–326.Crossref, Google Scholar
• Bier VM, French S (2020) From the editors: Decision analysis focus and trends. Decision Anal. 17(1):1–8.Link, Google Scholar
• Broemeling LD (1985) Bayesian Analysis of Linear Models (Marcel Dekker, New York).Google Scholar
• Cheng XJ, Wan SP, Dong JY (2021) A new consistency definition of interval multiplicative preference relation. Fuzzy Sets Systems 409:55–84.Crossref, Google Scholar
• Cox MAA (2007) Examining alternatives in the interval analytic hierarchy process using complete enumeration. Eur. J. Oper. Res. 180(2):957–962.Crossref, Google Scholar
• Crawford G, Williams C (1985) A note on the analysis of subjective judgment matrices. J. Math. Psych. 29(4):387–405.Crossref, Google Scholar
• French S (1991) Recent mathematical developments in decision analysis. IMA J. Management Math. 3(1):1–12.Google Scholar
• French S (2024) Whose judgement? Reflections on elicitation in Bayesian analysis. Decision Anal. 21(3):143–159.Link, Google Scholar
• Gelman A, Hill J, Vehtari A (2021) Regression and Other Stories (Cambridge University Press, Cambridge, UK).Google Scholar
• Insua DR, Ruggeri F, Soyer R, Wilson S (2020) Advances in Bayesian decision making in reliability. Eur. J. Oper. Res. 282(1):1–18.Crossref, Google Scholar
• Lahdelma R, Salminen P (2001) SMAA-2: Stochastic multicriteria acceptability analysis for group decision making. Oper. Res. 49(3):444–454.Link, Google Scholar
• Li KW, Wang ZJ, Tong X (2016) Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices. Eur. J. Oper. Res. 250(2):628–638.Crossref, Google Scholar
• Liu F (2009) Acceptable consistency analysis of interval reciprocal comparison matrices. Fuzzy Sets Systems 160(18):2686–2700.Crossref, Google Scholar
• Liu J, Kadziński M, Liao X (2023) Modeling contingent decision behavior: A Bayesian nonparametric preference-learning approach. INFORMS J. Comput. 35(4):764–785.Link, Google Scholar
• Meng F, Tan C, Chen X (2017) Multiplicative consistency analysis for interval fuzzy preference relations: A comparative study. Omega 68:17–38.Crossref, Google Scholar
• Meng F, Chen X, Zhu M, Lin J (2015) Two new methods for deriving the priority vector from interval multiplicative preference relations. Inform. Fusion 26:122–135.Crossref, Google Scholar
• Meng FY, Gong ZW, Pedrycz W, Chu JF (2023) Selfish-dilemma consensus analysis for group decision making in the perspective of cooperative game theory. Eur. J. Oper. Res. 308(1):290–305.Crossref, Google Scholar
• Merrick JRW (2009) Bayesian simulation and decision analysis: An expository survey. Decision Anal. 6(4):222–238.Link, Google Scholar
• Moreno-Jiménez JM, Vargas LG (1993) A probabilistic study of preference structures in the analytic hierarchy process with interval judgments. Math. Comput. Modeling 17(4–5):73–81.Crossref, Google Scholar
• Ramsey FP (1931) Foundations of Mathematics and Other Logical Essays (Routledge and Kegan Paul, London).Google Scholar
• Robert CP (2001) The Bayesian Choice (Springer-Verlag, New York).Google Scholar
• Ru Z, Liu J, Kadziński M, Liao X (2022) Bayesian ordinal regression for multiple criteria choice and ranking. Eur. J. Oper. Res. 299(2):600–620.Crossref, Google Scholar
• Saaty TL (1980) The Analytic Hierarchy Process (McGraw-Hill, New York).Google Scholar
• Saaty TL, Vargas LG (1987) Uncertainty and rank order in the analytic hierarchy process. Eur. J. Oper. Res. 32(1):107–117.Crossref, Google Scholar
• Salo AA, Hämäläinen RP (1997) On the measurement of preferences in the analytic hierarchy process. J. Multi‐Critical Decision Anal. 6(6):309–319.Crossref, Google Scholar
• Savage LJ (1972) The Foundations of Statistics, 2nd ed. (Dover, New York).Google Scholar
• Tallman E, West M (2023) Bayesian predictive decision synthesis. J. Roy. Statist. Soc. Ser. B Statist. Methodology 86(2):340–363.Crossref, Google Scholar
• Tsionas MG (2020) A coherent approach to Bayesian data envelopment analysis. Eur. J. Oper. Res. 281(2):439–448.Crossref, Google Scholar
• Tu J, Wu Z (2023) Analytic hierarchy process rank reversals: Causes and solutions. Ann. Oper. Res. https://doi.org/10.1007/s10479-023-05278-6.Crossref, Google Scholar
• Tu J, Wu Z, Xu J (2022) Geometric consistency index for interval pairwise comparison matrices. J. Oper. Res. Soc. 74(5):1229–1241.Crossref, Google Scholar
• Wang ZJ, Lin J (2019) Consistency and optimized priority weight analytical solutions of interval multiplicative preference relations. Inform. Sci. 482:105–122.Crossref, Google Scholar
• Wang YM, Yang JB, Xu DL (2005a) Interval weight generation approaches based on consistency test and interval comparison matrices. Appl. Math. Comput. 167(1):252–273.Google Scholar
• Wang YM, Yang JB, Xu DL (2005b) A two-stage logarithmic goal programming method for generating weights from interval comparison matrices. Fuzzy Sets Systems 152(3):475–498.Crossref, Google Scholar
• Wu Q, Liu X, Zhou L, Qin J, Rezaei J (2024) An analytical framework for the Best–Worst method. Omega 123:102974.Crossref, Google Scholar
• Zhang B, Dong Y, Zhang H, Pedrycz W (2020) Consensus mechanism with maximum-return modifications and minimum-cost feedback: A perspective of game theory. Eur. J. Oper. Res. 287(2):546–559.Crossref, Google Scholar
• Zhu B, Xu Z (2014) Stochastic preference analysis in numerical preference relations. Eur. J. Oper. Res. 237(2):628–633.Crossref, Google Scholar