Abstract
In decision analysis we often use natural language to represent realworld information due to imperfect nature of the latter. On the one hand, such information is often characterized by fuzziness. This implies that we impose soft constraints on values of variables of interest. The other essential property of information is partial reliability. Indeed, any estimation of values of interest, are subject to the confidence in sources of information we deal with - knowledge, assumptions, intuition, envision, experience - which cannot completely cover the whole complexity of real-world phenomena. Thus, fuzziness and partial reliability are strongly associated to each other. In order to take into account this fact, L.A. Zadeh suggested the concept of a Z-number as a more adequate formal construct for description of real-world information. In this chapter we present new decision making theory based on Z-information.
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References
Zadeh, L.A.: A Note on Z-numbers. Inform. Sciences 181, 2923–2932 (2010)
Labreuche, C., Grabisch, M.: Generalized Choquet-like Aggregation Functions for Handling Bipolar Scales. Eur. J. of Oper. Res. 172, 931–955 (2006)
Aliev, R.A., Pedrycz, W., Huseynov, O.H.: Behavioral Decision Making with Combined States Under Imperfect Information. Int. J. Inf. Tech. Decis. 12(3), 619–645 (2013)
Aliev, R.A., Pedrycz, W., Fazlollahi, B., Huseynov, O.H., Alizadeh, A.V., Guirimov, B.G.: Fuzzy Logic-based Generalized Decision Theory with Imperfect Information. Information Sciences 189, 18–42 (2011)
Aliev, R.A., Pedrycz, W., Huseynov, O.H.: Decision Theory with Imprecise Probabilities. International Journal of Information Technology and Decision Making 11(02), 271–306 (2012)
Cox, J.C., Friedman, D., Gjerstad, S.: A Tractable Model of Reciprocity and Fairness. Games and Economic Behavior 59, 17–45 (2007)
Cox, J.C., Sadiraj, K., Sadiraj, V.: Implications of Trust, Fear, and Reciprocity for Modeling Economic Behavior. Experimental Economics 11, 1–24 (2008)
Cox, J.C., Ostrom, E., Walker, J.M., Castillo, A.J., Coleman, E., Holahan, R., Schoon, M., Steed, B.: Trust in Private and Common Property Experiments. Southern Economic Journal 75(4), 957–975 (2009)
Tversky, A., Kahneman, D.: Advances in Prospect Theory: Cumulative Representation of Uncertainty. Journal of Risk and Uncertainty 5(4), 297–323 (1992)
Ghirardato, P., Maccheroni, F., Marinacci, M.: Differentiating Ambiguity and Ambiguity Attitude. Journal of Economic Theory 118, 133–173 (2004)
Klibanoff, P., Marinacci, M., Mukerji, S.: A Smooth Model of Decision Making Under Ambiguity. Econometrica 73(6), 1849–1892 (2005)
Shoham, Y., Cousins, S.B.: Logics of Mental Attitudes in AI: A Very Preliminary Survey. In: Lakemeyer, G., Nebel, B. (eds.) ECAI-WS 1992. LNCS, vol. 810, pp. 296–309. Springer, Heidelberg (1994)
Compte, O., Postlewaite, A.: Mental Processes and Decision Making, Working paper. Yale University, New Haven (2009), http://econ.as.nyu.edu/docs/IO/19118/Postlewaite_2011Mar22.pdf
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Aliev, R. (2015). Decision Making under Z-Information. In: El-Osery, A., Prevost, J. (eds) Control and Systems Engineering. Studies in Systems, Decision and Control, vol 27. Springer, Cham. https://doi.org/10.1007/978-3-319-14636-2_14
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DOI: https://doi.org/10.1007/978-3-319-14636-2_14
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-14635-5
Online ISBN: 978-3-319-14636-2
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