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Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis

Author

Listed:
  • Asra Riaz
  • Sajida Kousar
  • Nasreen Kausar
  • Dragan Pamucar
  • Gezahagne Mulat Addis
  • Yu Zhou

Abstract

In this article codes over lattice valued intuitionistic fuzzy set type-3 (LIFS-3) are defined. Binary block codes and linear codes are constructed over LIFS-3. Hamming distance and related properties of these newly established codes are examined. The research findings are applied to genetic codes. The set L of sixty-four codons is converted into a lattice and then codes are created over the set S of twenty amino acids by defining membership and nonmembership functions from the set of twenty amino acids to the sixty-four codon set. Comparison of codes over L-fuzzy set and LIFS-3 conducted in terms of hamming distance for codon system that ensures the efficiency of newly established codes.

Suggested Citation

  • Asra Riaz & Sajida Kousar & Nasreen Kausar & Dragan Pamucar & Gezahagne Mulat Addis & Yu Zhou, 2022. "Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis," Complexity, Hindawi, vol. 2022, pages 1-12, September.
    • Handle: RePEc:hin:complx:5288187
    DOI: 10.1155/2022/5288187
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