Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals
We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2015/780121 |
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| author | Ganeshsree Selvachandran Abdul Razak Salleh |
| author_facet | Ganeshsree Selvachandran Abdul Razak Salleh |
| author_sort | Ganeshsree Selvachandran |
| collection | DOAJ |
| description | We apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship between the concepts introduced here and the corresponding concepts in classical hyperring theory and soft hyperring theory is studied and investigated. |
| format | Article |
| id | doaj-art-64ee01120e6c4061a0fd0a3a6b1dae96 |
| institution | Kabale University |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-64ee01120e6c4061a0fd0a3a6b1dae962025-02-03T01:31:15ZengWileyThe Scientific World Journal2356-61401537-744X2015-01-01201510.1155/2015/780121780121Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and HyperidealsGaneshsree Selvachandran0Abdul Razak Salleh1Department of Actuarial Science and Applied Statistics, Faculty of Business and Information Science, UCSI University, Jalan Menara Gading, Cheras, 56000 Kuala Lumpur, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia (UKM), 43600 Bangi, Selangor, MalaysiaWe apply the classical theory of hyperrings to vague soft sets to derive the concepts of vague soft hyperrings, vague soft hyperideals, and vague soft hyperring homomorphism. The properties and structural characteristics of these concepts are also studied and discussed. Furthermore, the relationship between the concepts introduced here and the corresponding concepts in classical hyperring theory and soft hyperring theory is studied and investigated.http://dx.doi.org/10.1155/2015/780121 |
| spellingShingle | Ganeshsree Selvachandran Abdul Razak Salleh Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals The Scientific World Journal |
| title | Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals |
| title_full | Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals |
| title_fullStr | Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals |
| title_full_unstemmed | Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals |
| title_short | Algebraic Hyperstructures of Vague Soft Sets Associated with Hyperrings and Hyperideals |
| title_sort | algebraic hyperstructures of vague soft sets associated with hyperrings and hyperideals |
| url | http://dx.doi.org/10.1155/2015/780121 |
| work_keys_str_mv | AT ganeshsreeselvachandran algebraichyperstructuresofvaguesoftsetsassociatedwithhyperringsandhyperideals AT abdulrazaksalleh algebraichyperstructuresofvaguesoftsetsassociatedwithhyperringsandhyperideals |