Generalized metarationalities in the graph model for conflict resolution
Discrete Applied Mathematics - Special issue: Discrete algorithms and optimization, in honor of professor Toshihide Ibaraki at his retirement from Kyoto University
Matrix representation of solution concepts in multiple- decision-maker graph models
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans - Special section: Best papers from the 2007 biometrics: Theory, applications, and systems (BTAS 07) conference
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Representations of status quo analysis in the graph model for strength of preference
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Matrix representation and extension of coalition analysis in group decision support
Computers & Mathematics with Applications
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A new preference structure is introduced into the graph model for conflict resolution. This structure can handle a decision-maker's (DM) strict preference for one state or scenario over another, equal preference for states, and uncertain or unknown preference in the comparison of two states. Built upon this preference structure, four types of solution definitions modeling human behavior under conflict are extended to accommodate uncertainty in preferences. Four distinct ways to consider uncertain preference information are identified, producing sixteen extended stability definitions. Interrelationships of these definitions within and across the four definition sets are investigated. Illustrative examples of two-DM and multi-DM conflict models are presented to show how the new solution concepts can be applied in practice.