<p><span style=\"font-size: 10.0pt; line-height: 115%; font-family: \'Times New Roman\',\'serif\'; mso-fareast-font-family: \'Times New Roman\'; mso-ansi-language: EN-IN; mso-fareast-language: EN-IN; mso-bidi-language: AR-SA;\">A wide range of service offerings has been opened by the Cloud Computing industry to the customers. The cloud service providers and their services are increasing exponentially in present scenario of computing. In such a situation a customer faces the problem of selecting the best cloud service provider according to his personalized Quality of Service requirements. Moreover, the dynamic nature of the underlying network and several unpredictable circumstances, cause the service providers to depart from the promised QoS, as per Service Level Agreement. In this paper the authors present a framework for Cloud Service Selection Engine which acts as a tool to enable the customers to select the most appropriate cloud service provider from the Web Repository. The framework uses Analytic Hierarchy Approach for multi-criteria QoS decision making which accelerates the selection process. Past users&rsquo; experience is used as a heuristic which helps the algorithm to converge in polynomial time. A comparison has been given between proposed mechanism and previous approaches and the results of proposed technique are promising. &nbsp;</span></p>