The selection of a facility location among alternative locations is a multi-criteria decision-making problem that includes both subjective and objective criteria. The conventional approaches to facility location problems tend to be less effective in dealing with the imprecise or vagueness nature of the linguistic assessment. Thus, this situation can be regarded as a fuzzy multiple-criteria decision making problem considering the fuzziness and uncertainty of subjective perception. This paper proposes an alternative approach, the additive fuzzy integral, to cope with the evaluation of fuzzy MCDM problems. To illustrate the proposed procedure, the site selection of municipal waste is investigated. In this paper, the classification of subjective and objective criteria is constructed. Factor analysis is employed to extract four independent common factors, subjective and objective, with seven sub-criteria for evaluating the four location alternatives. In this paper triangular fuzzy number is employed to represent the decision-makers subjective preferences on the considered criteria and alternatives. The evaluation frame is constructed by using the Analytic Hierarchy Process which fuzzified to derive the relative weights with respect to each type of criteria. The fuzzy synthetic evaluation is aggregated with fuzzy performance values and the best location is chosen.