Parallel computation of type-2 fuzzy sets using alpha-cuts

In previous work the Authors defined the alpha-cut representation for type-2 fuzzy sets. The strength of this representation is that it allows type-2 fuzzy sets to be fully defined by a collection of crisp sets. Each of these crisp sets may be independently processed within a fuzzy logic system prior to defuzzification. This independence means this representation is ideal for parallel implementation by minimizing the requirement for iteration and synchronisation. In this work we investigate the parallel implementation of type-2 fuzzy logic operations on a massively parallel graphics processor unit. We explore the performance characteristics of this parallel implementation and contrast with a serial implementation in a series of experiments.