Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis
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....
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/5288187 |
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| _version_ | 1832549735725006848 |
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| author | Asra Riaz Sajida Kousar Nasreen Kausar Dragan Pamucar Gezahagne Mulat Addis |
| author_facet | Asra Riaz Sajida Kousar Nasreen Kausar Dragan Pamucar Gezahagne Mulat Addis |
| author_sort | Asra Riaz |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-9a2603ae61034f5887c2724e48242e5a |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-9a2603ae61034f5887c2724e48242e5a2025-02-03T06:08:45ZengWileyComplexity1099-05262022-01-01202210.1155/2022/5288187Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA AnalysisAsra Riaz0Sajida Kousar1Nasreen Kausar2Dragan Pamucar3Gezahagne Mulat Addis4Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of MathematicsFaculty of Organizational SciencesDepartment of MathematicsIn 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.http://dx.doi.org/10.1155/2022/5288187 |
| spellingShingle | Asra Riaz Sajida Kousar Nasreen Kausar Dragan Pamucar Gezahagne Mulat Addis Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis Complexity |
| title | Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis |
| title_full | Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis |
| title_fullStr | Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis |
| title_full_unstemmed | Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis |
| title_short | Codes over Lattice-Valued Intuitionistic Fuzzy Set Type-3 with Application to the Complex DNA Analysis |
| title_sort | codes over lattice valued intuitionistic fuzzy set type 3 with application to the complex dna analysis |
| url | http://dx.doi.org/10.1155/2022/5288187 |
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