Project crashing algorithm selection of a project is a crucial aspect of each project to decision makers striving to expedite or crash a project. In this study a new method has been introduced to choose alternatives based on the interest and preferences of decision makers due to the uncertainties of the optimal solutions of crashing algorithms. A multi criteria decision making (MCDM) technique, The Technique for Order of Preference using Similarity to Ideal Solution (TOPSIS) is used to select the appropriate crashing algorithm. The proposed method leads the decision makers to select the desirable algorithm to their projects. An example is analysed to demonstrate the capabilities of the present method.