Component based software engineering (CBSE) approach is used to develop a software system from pre-existing software components. It is difficult to select a suitable component from the library of components for the problem of CBSE. Appropriate software component selection plays an important role for the success of project. Many approaches are suggested to solve component selection problem. In this paper, the component selection is done by improving the integrated component selection framework by including the pliability metric to cut down the time and cost. Pliability is a flexible measure that assesses software quality. We anticipate that the proposed solution will solve the component selection problem of software industry.