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The determination of solutions in group decision making via intuitionistic fuzzy sets is considered. The point of departure is a collection of individual intuitionistic fuzzy preference relations. We also assume a (traditional) fuzzy majority equated with a fuzzy linguistic quantifier. A solution is derived either directly from the individual intuitionistic fuzzy preference relations or by constructing first a social intuitionistic fuzzy preference relation. Two solution concepts are proposed, the intuitionistic fuzzy core and consensus winner.