Abstract: This study aims to present a new mathematical based evaluation method for service composition with respects to security aspects. Web service composition as complex problem solver in service computing has become one of the recent challenging issues in today's web environment. It makes a new added value service through combination of available basic services to address the problem requirements. Despite the importance of service composition in service computing, security issues have not been addressed in this area. Considering the dazzling growth of number of service based transactions, making a secure composite service from candidate services with different security concerns is a demanding task. To deal with this challenge, different techniques have been employed which have direct impacts on secure service composition efficiency. Nonetheless, little work has been dedicated to deeply investigate those impacts on service composition outperformance. Therefore, the focus of this study is to evaluate the existing approaches based on their applied techniques and QoS aspects. A mathematicalbased security-aware evaluation framework is proposed wherein Analytic Hierarchy Process (AHP), a multiple criteria decision making technique, is adopted. The proposed framework is tested on state-of-the-art approaches and the statistical analysis of the results presents the efficiency and correctness of the proposed work
