Grey-Based Preference in a Graph Model for Conflict Resolution With Multiple Decision Makers

To capture uncertainty in preferences, definitions based on grey numbers are incorporated into the graph model for conflict resolution (GMCR), a realistic and flexible methodology to model and analyze strategic conflicts. A general grey number is a real number that may be a member of a discrete set...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2015-09, Vol.45 (9), p.1254-1267
Main Authors: Hanbin Kuang, Bashar, M. Abul, Hipel, Keith W., Kilgour, D. Marc
Format: Article
Language:English
Subjects:
Analytical models
Decision analysis
Decision making
general grey numbers
graph model for conflict resolution (GMCR)
Mathematical model
Stability analysis
Sustainable development
uncertain preference
Uncertainty
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Summary:To capture uncertainty in preferences, definitions based on grey numbers are incorporated into the graph model for conflict resolution (GMCR), a realistic and flexible methodology to model and analyze strategic conflicts. A general grey number is a real number that may be a member of a discrete set of real numbers, or may fall within one or several intervals. It can represent uncertain preference of decision makers in a meaningful way. Here, a grey-based preference structure is developed and integrated with GMCR. Utilizing a number of grey-based ideas, solution concepts describing human behavior under conflict in the face of uncertain preference are defined for a conflict model. This grey-based GMCR is then applied to a generic sustainable development conflict with uncertain preferences in order to demonstrate how it can be conveniently utilized in practice.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2014.2387096