Abstract
A method of multi-attribute decision making under risk (MADMUR) based on third-generation prospect theory (PT3) is presented to solve the decision making problems by allowing reference points of each attribute to be uncertain. First, some important properties of PT3 are defined. Second, the adaptation of uncertain reference point is represented specifically. Then, the MADMUR method and its relevant computing steps are illustrated including all required definitions of MADMUR, an psychological inference procedure with relative value function and relative cumulative decision weighting function, and ranking and ordering decision alternatives etc. Finally, an illustrative example is given to show this decision making method in detail.
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Simon, H., Dantzig, G., Hogarth, R., Plott, C., Raiffa, H., Shelling, T., Shepsle, K., Thaler, R., Tversky, A., Winter, S.: Decision making and problem solving. Interfaces 17, 11–31 (1987)
Wang, Z.J., Ou, C.W., Li, S.: Integrative model or the priority heuristic? A test from the point of view of the equate-to-differentiate model. Acta Psychol. Sin. 42(08), 821–833 (2010)
Birnbaum, M.H.: New paradoxes of risky decision making. Psychol. Rev. 115, 463–501 (2008)
Johnson, E.J., Schulte, M., Willemsen, M.C.: Process models deserve process data: comment on Brandstatter, Gigerenzer and Hertwig. Psychol. Rev. 115, 263–273 (2008)
Schmidt, U., Starmer, C., Sugden, R.: Third-generation prospect theory. J. Risk Uncertainty 36, 203–223 (2008)
Von Neumann, J., Morgensterm, O.: The Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)
Savage, J.: The Foundations of Statistics. Wiley, New York (1954)
Edwards, W.: The theory of decision making. Psychol. Bull. 51, 380–417 (1954)
Machina, M.J.: Expected utility analysis without the independence axiom. Econometrica 50(2), 277–323 (1982)
Bell, D.E.: Regret in decision making under uncertainty. Oper. Res. 30, 961–981 (1982)
Loomes, G., Sugden, R.: Regret theory: an alternative theory of rational choice under uncertainty. Econ. J. 92, 805–824 (1982)
Kahneman, D., Tversky, A.: Prospect theory: an analysis of decision under risk. Econometrica 47(2), 263–291 (1979)
Quiggin, J.A.: Theory of anticipated utility. J. Econ. Behav. Organ. 3(4), 323–343 (1982)
Tversky, A., Kahneman, D.: Advances in prospect theory: cumulative representation of uncertainty. J. Risk Uncertain. 5(4), 297–323 (1992)
Sugden, R.: Reference-dependent subjective expected utility. J. Econ. Theor. 111, 172–191 (2003)
Ordonez, L.D., Connolly, T., Coughlian, R.: Multiple reference points in satisfaction and fairness assessment. J. Behav. Decis. Mak. 13, 329–344 (2000)
Tversky, A., Kahneman, D.: Advances in Prospect Theory: Cumulative Representation of Uncertainty, pp. 44–65. Cambridge University Press, Cambridge (2000)
Zeng, J.M.: An experimental test of cumulative prospect theory. J. Jinan Univ. (Nat. Sci.) 28(1), 44–47 (2007)
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Xiang, Y., Ma, L. (2015). Multi-attribute Decision Making Under Risk Based on Third-Generation Prospect Theory. In: He, X., et al. Intelligence Science and Big Data Engineering. Big Data and Machine Learning Techniques. IScIDE 2015. Lecture Notes in Computer Science(), vol 9243. Springer, Cham. https://doi.org/10.1007/978-3-319-23862-3_43
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DOI: https://doi.org/10.1007/978-3-319-23862-3_43
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