In this paper, a stochastic and uncertain flow shop scheduling problem is considered. Processing times are not known exactly, so they are estimated as intervals. Thus, the processing time of job i on machine j is a fuzzy set that is the possibility distribution of the processing time. Due date is a random variable defined for makespan. In certain models, there are two major criteria; makespan and lateness. In stochastic models, they are expected value of makespan and lateness probability. The main problem in stochastic flow shops is to estimate the criteria that exactly defined. In this study, we will consider the probability of lateness fuzzy event. We demonstrate a mathematical method for evaluating the criteria. Finally, a near-optimal solution as a sequence will be obtained by a heuristic method.
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