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Article type: Research Article
Authors: Georgiou, DNa | Karakasidis, TEb; * | Megaritis, ACc | Nieto, Juan J.d | Torres, Ae
Affiliations: [a] Department of Mathematics, University of Patras, Patras, Greece | [b] Department of Civil Engineering, University of Thessaly, Volos, Greece | [c] Technological Educational Institute of Western Greece, Department of Accounting and Finance, Messolonghi, Greece | [d] Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Spain | [e] Departamento de Psiquiatría Radiología y Salud Pública, Facultad de Medicina, Universidad de Santiago de Compostela, Spain
Correspondence: [*] Corresponding author. T.E. Karakasidis, Department of Civil Engineering, University of Thessaly, 383 34 Volos, Greece. Tel.: +30 24210 74163; Fax: +30 24210 74169; E-mail: thkarak@uth.gr.
Abstract: Bioinformatics is a relatively new discipline where Mathematics are applied in the analysis of genetic sequences. The analysis of the genetic material of living organisms which consist of nucleic acids DNA and RNA is of great importance for diagnosis and taxonomy reasons. In the present paper we propose a new methodology for the representation of genetic sequences as fuzzy sets in the I 12 space which can significantly improve the results of Sadegh-Zadeh and Torres & Nieto. An important characteristic of our proposed methodology is that the location of Amino acids along the genetic sequences play an important role thus extending in a significant way the computational efficiency advantage of genetic sequence representation. We present some characteristic examples using the new proposed methodology where we calculate the distance and similarity degree of given polynucleotides.
Keywords: DNA, RNA, polynucleotide, fuzzy sets, multi-fuzzy sets, metric spaces
DOI: 10.3233/IFS-151701
Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 2259-2269, 2015
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