Abstract This paper presents a study on the feasibility to process in parallel some of the stages of fuzzy rule based control algorithms (FRBC). Three FRBC’s are considered for the control of neutron power in a research nuclear reactor, the first FRBC is a two-input one-output fuzzy controller, the second one is a three-input one-output FRBC, the third controller is a two-input one-output FRBC in which a boolean selection of the output membership functions (OMF) is made according to three different zones of the reactor power level. Computer simulations determine the time required by each of the FRBC’s to process the input to give an adequate ouput (a controller cycle), under different degrees of parallelism. Comparisons of the main features of the parallel and non-parallel (sequential) FRBC’s are presented.