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When using cloud systems there is always a problem of data safety, data availability and a possibility of malicious acts, hampering computational processes. However, evaluating the risks of introducing cloud applications is not the only aspect influencing the decision to move enterprise applications to the cloud. The present paper suggests a model of decision support for deciding to move enterprise applications to the cloud environment based on the Analytic Hierarchy Process (AHP). The model allows estimating a set of enterprise IT applications and choose the applications for migration to the cloud, based on specific business requirements, technological strategy and willingness to risk.