Construction project planning under fuzzy time constraint

A distinctive feature of construction projects is the uniqueness of conditions for their implementation. Therefore, the durations data of the works are often formulated imprecisely. On the other hand, the time limit for the execution of the works is defined in the contract conditions by data indicating the due time and the deadline. These indicate the distribution of time values, which the contractor can allocate for the implementation of the construction project in accordance with the client preferences. For assessing the compliance of the planned project makespan with the fuzzy time constraint, it is recommended to use the fuzzy sets theory. The article presents a method for assessing the level of satisfaction of fuzzy constraint of time for the execution of construction works using the probabilistic measure, in conjunction with the concept of α -cuts of a fuzzy number. The application of the presented method is demonstrated on a numerical example, which shows the compliance of the evaluation results with those obtained with the simulation methods. The article confirms the correctness of the assumptions of the presented method, which allows for its use for the formulation and resolving schedule optimization problems in the case of imprecisely formulated schedule input data.