Affiliations: [a] Department of Systems Design Engineering, University of Waterloo, Waterloo, Canada | [b] Department of Mathematics, Wilfrid Laurier University, Waterloo, Canada | [c] Department of Management Sciences, University of Waterloo, Waterloo, Canada
Correspondence:
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Correspondence to: Keith W. Hipel, Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada. Tel.: +1-519-888-4567, ext. 32830; Fax: +1-519-746-4791; E-mails: kwhipel@uwaterloo.ca (Keith W. Hipel), mabashar71@gmail.com (M. Abul Bashar), mkilgour@wlu.ca (D. Marc Kilgour), amer.obeidi@uwaterloo.ca (Amer Obeidi).
Abstract: Coalition fuzzy stability concepts are developed within the Fuzzy Preference Framework for the Graph Model for Conflict Resolution to investigate how decision makers can cooperate. The objective is to identify favorable outcome(s) in a multiple participant-multiple objective decision problem with fuzzy preference information. More specifically, coalition versions of fuzzy Nash stability, fuzzy general metarationality, fuzzy symmetric metarationality, and fuzzy sequential stability are proposed. They constitute a natural generalization of the corresponding non-cooperative fuzzy preference-based definitions for Nash stability, general metarationality, symmetric metarationality, and sequential stability, respectively. Coalition fuzzy stability definitions are employed to analyze an actual dispute over groundwater contamination in Elmira, Ontario, Canada, demonstrating how these new concepts can be conveniently applied to practical problems in order to gain valuable strategic insights.
