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Conflict resolution in fuzzy environment
Authors:Ling Shen  Ferenc Szidarovszky
Affiliation:1. Systems and Industrial Engineering Department, University of Arizona, 85721, Tucson, Arizona, USA
Abstract:Conflict resolution methodology is discussed with fuzzified Pareto frontier. Four solution concepts, namely, the Nash solution, the generalized Nash solution, the Kalai-Smorodinsky concept, and a solution method based on a special bargaining process are examined. The solutions are also fuzzy, the corresponding payoff values are fuzzy numbers, the membership functions of which are determined. Three particular cases are considered in the paper. Linear, quadratic, and general nonlinear Pareto frontiers with known shape are examined.
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