Regulatory motifs describe sets of related transcription factor binding sites (TFBSs) and can be represented as position frequency matrices (PFMs). De novo identification of TFBSs is a crucial problem in computational biology which includes the issue of comparing putative motifs with one another and with motifs that are already known. The relative importance of each nucleotide within a given position in the PFMs should be considered in order to compute PFM similarities. Furthermore, biological data are inherently noisy and imprecise. Fuzzy set theory is particularly suitable for modeling imprecise data, whereas fuzzy integrals are highly appropriate for representing the interaction among different information sources.
Garcia, F., Lopez, F. J., Cano, C., & Blanco, A. (2009). FISim: A new similarity measure between transcription factor binding sites based on the fuzzy integral. BMC Bioinformatics, 10. https://doi.org/10.1186/1471-2105-10-224