The fuzzy polynucleotide space revisited

摘要

ObjectiveA theory of fuzzy polynucleotides, including an n-dimensional metric fuzzy polynucleotide space, has been previously introduced by the present author for fuzzy-theoretical analysis of nucleic acids [Sadegh-Zadeh K. Fuzzy genomes. Artif Intell Med 2000;18:1–28; Sadegh-Zadeh K. Ein Verfahren zur Fuzzydecodierung und Fuzzydechiffrierung von Informationen. Offenlegungsschrift DE 199 36 925 A 1. Deutsches Patent- und Markenamt; 2001]. The conceptual framework of that theory has been used by Nieto et al. [Nieto JJ, Torres A, Vázquez-Trasande MM. A metric space to study differences between polynucleotides. Appl Math Lett 2003;16:1289–94; Nieto JJ, Torres A, Georgiou DN, Karakasidis TE. Fuzzy polynucleotide spaces and metrics. Bull Math Biol 2006;68:703–25] and Torres et al. [Torres A, Nieto JJ. The fuzzy polynucleotide space: basic properties. Bioinformatics 2003;19:587–92; Torres A, Nieto JJ. Fuzzy logic in medicine and bioinformatics. J Biomed Biotechnol 2006;1–7 [Article ID 91908]] to create a completely different, 12-dimensional metric space which they have also called ‘the fuzzy polynucleotide space’. In the present paper both spaces are compared.