Theory and application of conflict resolution with hybrid preference in colored graphs |
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| Authors: | Haiyan Xu D Marc Kilgour Keith W Hipel Edward A McBean |
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| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China;2. College of Physical and Engineering Science, University of Guelph, Guelph, Ontario, Canada;3. Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada;4. Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada |
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| Abstract: | An algebraic approach is proposed to calculate stabilities in a colored graph with hybrid preference. The algebraic approach establishes a hybrid framework for stability analysis by combining strength of preference and unknown preference. The hybrid system is more general than existing models, which consider preference strength and preference uncertainty separately. Within the hybrid preference structure, matrix representations of four basic stabilities in a colored graph are extended to include mild, strong, and uncertain preference and algorithms are developed to calculate efficiently the inputs essential to the stability definitions. A specific case study, including multiple decision makers and hybrid preference, is used to illustrate how the proposed method can be applied in practice. |
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| Keywords: | Conflict resolution Matrix representation Graph model Hybrid preference Decision maker |
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