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An extension of multiattribute utility analysis for the multiple-agent decision problem is presented. Although multiattribute utility analysis is concerned with decision-making under uncertainty, assessment of the parameters of the multiattribute utility functions is actually performed deterministically by the single decision-maker. The authors are concerned with fuzzy evaluation of the multiattribute utility function, which is based on fuzzy preference ordering and scaling constants using membership functions of fuzzy set theory. The fuzzy approach treats a conceptual imprecision that accrues from a multiplicity of evaluation. A fuzzy multiattribute utility function with multiple agent evaluation is derived. A computer package, ICOPSS/FR, for ensuring the transistivity of collective preference ordering in an agreement level is demonstrated for assessment of fuzzy multiattribute utility functions.