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Issue:Similarity and dissimilarity of whole genomes using intuitionistic fuzzy logic

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http://ifigenia.org/wiki/issue:nifs/21/3/48-53
Title of paper: Similarity and dissimilarity of whole genomes using intuitionistic fuzzy logic
Author(s):
Subhram Das
Computer Science & Engineering Department, Narula Institute of Technology, Kolkata 700109, India
senthilsoft_5760@yahoo.comsubhram@gmail.com
Debanjan De
Quality Control Officer, Pest Control India, Kolkata, India
debanjande85@gmail.com
D. K. Bhattacharya
Emeritus Professor, Rabindra Bharati University, Kolkata, India
dkb_math@yahoo.com
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 21, 2015, Number 3, pages 48—53
Download:  PDF (97  Kb, File info)
Abstract: Whole genomes in general and poly-nucleotides, in particular, have an interesting representation in twelve dimensional hypercube I12 based on fuzzy set theory, but it has some limitations and drawbacks. With a view to removing such drawbacks of the representation, the present paper derives some new representation of whole genomes and poly-nucleotides based on Intuitionistic Fuzzy set theory and shows that that such a representation is free from any such limitation as mentioned above. Finally it applies the new representation in testing similarity/ dissimilarities of whole genomes and polynucleotides
Keywords: Intuitionistic Fuzzy set, Intuitionistic Fuzzy Polynucleotide space, Similarity/Dissimilarities of whole genomes and poly-nucleotides, Metric
AMS Classification: 03E72.
References:
  1. Nieto, J. J., Torres, A., & V-T, M.M. (2003) A metric space to study differences between polynucleotides. Appl. Math. Lett., 27, 1289–1294.
  2. Nieto, J.J., Torres, A., Georgiou, D.N., & Karakasidis, T.E (2006) Fuzzy Polynucleotide Spaces and Metrics. Bulletin of Mathematical Biology, 68, 703–725.
  3. Torres, A., & Nieto, J.J. (2003) The fuzzy polynucleotide space: Basic properties. Bioinformatics, 19(5), 587–592.
  4. Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
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  7. Szmidt, E & Kacprzyk, J. (2000) Intuitionistic distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114, 505–518.
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  10. Das, S., De, D., Dey, A. & Bhattacharya, D. (2013) Some anomalies in the analysis of whole genome sequence on the basis of Fuzzy set theory, IJAINN, 38–41.
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