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Cloud computing is the rapidly evolving area that offers the potential for federal agencies of all the sizes to increase flexibility and efficiency. A cloud broker acts as an intermediary between various service providers and the cloud users. It will take responsibility in handling the services offered by cloud service providers (CSP). Any requests from the users will be processed by the cloud broker and the services are allocated to the users according to their requirements. In this paper, we are proposing a cloud broker service framework to decide on an appropriate service offered by different CSPs depending on the QoS requirements from the users. The framework incorporates multi-criteria optimization technique to analyze the non dominant or Pareto optimal sets. The Pareto optimization technique is used to find the non dominated set from the available n number of service providers.