Sadegh-Zadeh Kazem
University of Münster Clinicum, Münster, Germany.
Artif Intell Med. 2007 Sep;41(1):69-80; discussion 81-2. doi: 10.1016/j.artmed.2007.04.006. Epub 2007 Jul 5.
A 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.
Both metric spaces are briefly outlined. Similarity and dissimilarity relationships between polynucleotide strings are measured in both spaces to compare their performance.
Nieto et al.'s and Torres et al.'s metric space measures the relationships between polynucleotide chains incorrectly. Structurally highly different polynucleotide sequences are misclassified as highly similar ones, and completely different sequences are misclassified as identical ones. For this reason their construct is to be considered as a device of misdiagnosis that bears "fuzzy polynucleotide space" as a misnomer.
作者先前已引入一种模糊多核苷酸理论，其中包括一个n维度量模糊多核苷酸空间，用于对核酸进行模糊理论分析[萨德赫 - 扎德赫K.模糊基因组。人工智能医学2000；18：1 - 28；萨德赫 - 扎德赫K.一种信息的模糊解码和模糊解密方法。德国专利公开文本DE 199 36 925 A 1。德国专利商标局；2001]。Nieto等人[涅托JJ，托雷斯A，巴斯克斯 - 特拉桑德MM。用于研究多核苷酸之间差异的度量空间。应用数学快报2003；16：1289 - 94；涅托JJ，托雷斯A，乔治乌DN，卡拉卡西斯TE。模糊多核苷酸空间和度量。数学生物学通报2006；68：703 - 25]以及托雷斯等人[托雷斯A，涅托JJ。模糊多核苷酸空间：基本性质。生物信息学2003；19：587 - 92；托雷斯A，涅托JJ。医学和生物信息学中的模糊逻辑。生物医学与生物技术杂志2006；1 - 7[文章编号91908]]使用了该理论的概念框架来创建一个完全不同的12维度量空间，他们也将其称为“模糊多核苷酸空间”。在本文中，对这两个空间进行了比较。
简要概述了这两个度量空间。在两个空间中测量多核苷酸字符串之间的相似性和相异性关系，以比较它们的性能。
Nieto等人以及托雷斯等人的度量空间错误地测量了多核苷酸链之间的关系。结构上高度不同的多核苷酸序列被错误分类为高度相似的序列，而完全不同的序列被错误分类为相同的序列。因此，他们构建的空间应被视为一种误诊工具，将“模糊多核苷酸空间”作为一个不恰当的名称。
