On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics
The study of hypercompositional structures (introduced by Marty) is now considered of a great value because of its applications in various sciences. In this paper, we focus on a special hypercompositional structure; quasi-ordering hypergroup. In this regard, we discuss some of the quasi-ordering hyp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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University of Kashan
2022-03-01
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| Series: | Mathematics Interdisciplinary Research |
| Subjects: | |
| Online Access: | https://mir.kashanu.ac.ir/article_111906_ef1d074422e2b728afe5933ee2b90262.pdf |
| _version_ | 1797630838601416704 |
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| author | M. Al Tahan Bijan Davvaz |
| author_facet | M. Al Tahan Bijan Davvaz |
| author_sort | M. Al Tahan |
| collection | DOAJ |
| description | The study of hypercompositional structures (introduced by Marty) is now considered of a great value because of its applications in various sciences. In this paper, we focus on a special hypercompositional structure; quasi-ordering hypergroup. In this regard, we discuss some of the quasi-ordering hypergroup’s properties and investigate some relations on it. Then, we present an application of quasi-ordering hypercompositional structures in genetics and define ordered hypercompositional structures for both sets: phenotypes and genotypes of F2-offspring. |
| first_indexed | 2024-03-11T11:13:33Z |
| format | Article |
| id | doaj.art-7e1c28b01b6e47309f51cf24a3ca330a |
| institution | Directory Open Access Journal |
| issn | 2476-4965 |
| language | English |
| last_indexed | 2024-03-11T11:13:33Z |
| publishDate | 2022-03-01 |
| publisher | University of Kashan |
| record_format | Article |
| series | Mathematics Interdisciplinary Research |
| spelling | doaj.art-7e1c28b01b6e47309f51cf24a3ca330a2023-11-11T10:05:42ZengUniversity of KashanMathematics Interdisciplinary Research2476-49652022-03-017111910.22052/mir.2022.242993.1299111906On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in GeneticsM. Al Tahan0Bijan Davvaz1Department of Mathematics, Lebanese International University, LebanonDepartment of Mathematics, Yazd University, Yazd, IranThe study of hypercompositional structures (introduced by Marty) is now considered of a great value because of its applications in various sciences. In this paper, we focus on a special hypercompositional structure; quasi-ordering hypergroup. In this regard, we discuss some of the quasi-ordering hypergroup’s properties and investigate some relations on it. Then, we present an application of quasi-ordering hypercompositional structures in genetics and define ordered hypercompositional structures for both sets: phenotypes and genotypes of F2-offspring.https://mir.kashanu.ac.ir/article_111906_ef1d074422e2b728afe5933ee2b90262.pdfquasi-ordering hypergrouppo-hypergroupfundamental groupphenotypegenotype |
| spellingShingle | M. Al Tahan Bijan Davvaz On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics Mathematics Interdisciplinary Research quasi-ordering hypergroup po-hypergroup fundamental group phenotype genotype |
| title | On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics |
| title_full | On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics |
| title_fullStr | On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics |
| title_full_unstemmed | On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics |
| title_short | On Quasi-Ordering Hypergroups, Ordered Hyperstructures and Their Applications in Genetics |
| title_sort | on quasi ordering hypergroups ordered hyperstructures and their applications in genetics |
| topic | quasi-ordering hypergroup po-hypergroup fundamental group phenotype genotype |
| url | https://mir.kashanu.ac.ir/article_111906_ef1d074422e2b728afe5933ee2b90262.pdf |
| work_keys_str_mv | AT maltahan onquasiorderinghypergroupsorderedhyperstructuresandtheirapplicationsingenetics AT bijandavvaz onquasiorderinghypergroupsorderedhyperstructuresandtheirapplicationsingenetics |