In the past, we have demonstrated how fuzzy concepts can easily be used in the Johnson algorithm to manage uncertain scheduling on two-machine flow shops. This paper extends application to fuzzy flow shops with more than two machines. A new fuzzy heuristic flow-shop scheduling algorithm (the fuzzy Palmer algorithm) is then designed since optimal solutions seem unnecessary for uncertain environments. Also, the conventional Palmer algorithm is presented as a special case of the fuzzy Palmer algorithm with special assigned membership functions.