Abstract
In this paper, we propose a decision-making methodology based on logistic regression to solve a general decision-making problem, considering imprecisions and incoherences in the decision maker’s behaviour.
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References
May, K.O.: Intransitivity, Utility, and the Aggregation of Preference Patterns. Econometrica 22(1), 1–13 (1954)
Roberts, F.S: What if Utility Functions do Not Exist? Theory and Decision 3, 126–139 (1972)
Tversky, A.: Intransitivity of Preferences. Psychological Review 76, 31–48 (1969)
González-Pachón, J., Ríos-Insua, S.: Mixture of Maximal Quasi Orders: A New Approach to Preference Modelling. Theory and Decision 47, 73–88 (1999)
González-Pachón, J., Rodríguez-Galiano, M.I., Romero, C.: Transitive Aproximation to Pairwise Comparison Matrices by using Interval Goal Programming. Journal of the Operational Research Society 54, 532–538 (2003)
Aldrich, J.H., Nelson, F.D.: Linear Probability, Logit, and Probit Models. Sage Publications, Thousand Oaks (1989)
Bierlaire, M.: Discrete Choice Models. In: Labbé, M., Laporte, G., Tanczos, K. (eds.) Operations Research and Decision Aid Methodologies in Traffic and Transportation Management. NATO ASI Series, Series F: Computer and Systems Science, vol. 166, Springer, Heidelberg (1998)
González-Pachón, J., Romero, C.: A method for obtaining transitive approximations of a binary relation. Annals of Operations Research (to appear, 2007)
Roubens, M., Vincke, P.h.: Preference Modelling. Lecture Notes in Economics and Mathematical Systems, vol. 250. Springer, Heidelberg (1985)
Agresti, A.: Categorical Data Analysis. Wiley, Chichester (2002)
Christensen, R.: Log-Linear Models and Logistic Regression, 2nd edn. Springer, New York (1997)
Ryan, T.P.: Modern Regression Methods. Wiley, New York (1997)
Menard, S.: Coefficients of Determination for Multiple Logistic Regression Analysis. The American Statistician 51(1), 17–24 (2000)
Bouyssou, D.: Ranking Methods based on Valued Preferences Relations: A Characterization of the Net Flow Method. European Journal of Operational Research 60, 61–67 (1992)
Rodríguez-Galiano, M.I., González-Pachón, J.: Characterization of Certain Orders using their Associated Choice Functions. European Journal of Operational Research 132, 619–627 (2001)
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Rodríguez-Galiano, M.I., González-Pachón, J. (2007). Logistic Regression as a Computational Tool for Dealing with Intransitivity. In: Moreno Díaz, R., Pichler, F., Quesada Arencibia, A. (eds) Computer Aided Systems Theory – EUROCAST 2007. EUROCAST 2007. Lecture Notes in Computer Science, vol 4739. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75867-9_6
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DOI: https://doi.org/10.1007/978-3-540-75867-9_6
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-75866-2
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