Instantaneously warping interval computation using low level intrinsic mode functions

The development of fuzzy sets may be carried out on a stepwise and offline basis. However, this mechanism doesn't instantly reflect the real situation the fuzzy-based system is processing. Moreover, the intrinsic discontinuity of the stepwise functions usually results in the poor modeling of the processing data. This shortcoming may be removed through several more specific fuzzy sets that are properly associated with the fuzzy sets formed at the higher level. To fit the complexity of the granular descriptors, we propose a nonuniformly spaced interval calculation algorithm functioning in an instantaneous manner for more sophisticated fuzzy sets without losing reasonable interpretation. In this paper, several examples are also performed to verify the usability of this EMD-based scale warping approach.