Abstract
A three-level preference (or called strength of preference) ranking structure based on option prioritization is developed within the paradigm of the Graph Model for Conflict Resolution. In a strategic conflict, a decision maker usually controls various courses of actions which are referred to as options. An option-based preference structure could efficiently model preferences under a complex conflict situation. There are three preference representations in a graph model for simple preference (or two-level preference), including Option Weighting, Direct Ranking, and Option Prioritizing in which the Option Prioritizing approach is the most effective. Therefore, the Option Prioritizing approach is extended to three-level preference from the two levels of preference in this paper. This proposed approach is more effective and convenient for modeling preference and is easy to implement into a decision support system. A specific case study is provided to show how three-level preference is calculated using the proposed approach.
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References
Kilgour, D.M., Hipel, K.W., Fang, L.: The graph model for conflicts. Automatica 23, 41–55 (1987)
Fang, L., Hipel, K.W., Kilgour, D.M.: Interactive Decision Making: The Graph Model for Conflict Resolution. Wiley, New York (1993)
Li, K.W., Hipel, K.W., Kilgour, D.M., Fang, L.: Preference uncertainty in the graph model for conflict resolution. IEEE Trans. Syst. Man Cybern. Part A: Syst. Hum. 34, 507–520 (2004)
Hamouda, L., Kilgour, D.M., Hipel, K.W.: Strength of preference in the graph model for conflict resolution. Group Decis. Negot. 13, 449–462 (2004)
Hamouda, L., Kilgour, D.M., Hipel, K.W.: Strength of preference in graph models for multiple-decision-maker conflicts. Appl. Math. Comput. 179, 314–327 (2006)
Xu, H., Hipel, K.W., Kilgour, D.M.: Multiple levels of preference in interactive strategic decisions. Discrete Appl. Math. 157, 3300–3313 (2009)
Xu, H., Hipel, K.W., Kilgour, D.M., Chen, Y.: Combining strength and uncertainty for preferences in the graph model for conflict resolution with multiple decision makers. Theory Decis. 69(4), 497–521 (2010)
Fang, L., Hipel, K.W., Kilgour, D.M., Peng, X.: A decision support system for interactive decision making. Part 1: Model formulation. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 33(1), 42–55 (2003)
Fang, L., Hipel, K.W., Kilgour, D.M., Peng, X.: A decision support system for interactive decision making. Part 2: Analysis and output interpretation. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 33(1), 56–66 (2003)
Xu, H., Kilgour, D.M., Hipel, K.W.: An integrated algebraic approach to conflict resolution with three-level preference. Appl. Math. Comput. 216, 693–707 (2010)
Xu, H., Kilgour, D.M., Hipel, K.W.: Matrix representation of conflict resolution in multiple-decision-maker graph models with preference uncertainty. Group Decis. Negot. 20(6), 755–779 (2011)
Xu, H., Kilgour, D.M., Hipel, K.W., McBean, E.A.: Theory and application of conflict resolution with hybrid preference in colored graphs. Appl. Math. Model. 37, 989–1003 (2013)
Fraser, N.M., Hipel, K.W.: Decision support systems for conflict analysis. In: Singh, M.G., Salassa, D., Hindi, K.S. (eds.) Managerial Decision Support Systems, pp. 13–21. North-Holland, Amsterdam (1988)
Rubin, J.E.: Mathematical Logic: Applications and Theory. Saunders, Philadelphia (1990)
Acknowledgments
The authors appreciate financial support from the National Natural Science Foundation of China (71471087), National Social Science Foundation of China (12AZD102) and the Foundation of Universities in Jiangsu Province for Philosophy and Social Sciences (2012ZDIXM014).
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Hou, Y., Jiang, Y., Xu, H. (2015). Option Prioritization for Three-Level Preference in the Graph Model for Conflict Resolution. In: Kamiński, B., Kersten, G., Szapiro, T. (eds) Outlooks and Insights on Group Decision and Negotiation. GDN 2015. Lecture Notes in Business Information Processing, vol 218. Springer, Cham. https://doi.org/10.1007/978-3-319-19515-5_21
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DOI: https://doi.org/10.1007/978-3-319-19515-5_21
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