COALITION ANALYSIS WITH FUZZY SETS

Abstract
After noting several limiting features and procedural disadvantages of typical game theoretic studies of coalition formation, a new measurement procedure based on fuzzy set theory is described. A generalized Tanimoto coefficient measuring attitudinal similarity provides the fundamental basis for location and analysis of potential coalitions in a group decision‐making task. The results of a pilot study using fuzzy preference matrices and α‐level sets to determine the existence and structural evolution of coalitions over time are presented. Finally, some conjectures concerning the definition and future study of coalitions are advanced.

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