This paper develops the notion of fuzzy preference orderings for individuals and groups, on the basis of the theory of fuzzy (binary) relations as developed by L. A. Zadeh [4]. This concept is illustrated with well known methods of group decision-making and some of its formal properties are investigated. Finally an algorithm to map fuzzy orderings on non-fuzzy ones is proposed to guide the decision-maker in reaching decisions which reflect the fuzziness of the preferences over the available options.