The constrained multi-stage machine flow shop (FS) scheduling model with segmental and quadratic fuzzy numbers such as processing time, job weight and breakdown time is studied in this paper. The model becomes clear with the closed interval approximation method of piecewise quadratic fuzzy numbers, which introduces a non-crossover optimization sequence into the regarded solution and minimizes the makespan in fuzzy conditions. Illustrated by a numerical example, the method presented in this paper can provide the decision maker with an applicable solution that is relevant to the real problem and minimizes the makespan.
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