On algebraic properties of two–dimensional b–bistochastic genetic algebra
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| Format: | Bachelor thesis |
| Language: | English |
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Universiti Teknologi Malaysia
2025
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| Online Access: | https://utmik.utm.my/handle/123456789/39706 |
| Abstract | Abstract here |
| _version_ | 1854934153765584896 |
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| author | Norhuda Afini Mohd. Rosli |
| author2 | Fadillah Embong, supervisor |
| author_facet | Fadillah Embong, supervisor Norhuda Afini Mohd. Rosli |
| author_sort | Norhuda Afini Mohd. Rosli |
| description | Not available |
| format | Bachelor thesis |
| id | utm-123456789-39706 |
| institution | Universiti Teknologi Malaysia |
| language | English |
| publishDate | 2025 |
| publisher | Universiti Teknologi Malaysia |
| record_format | dspace |
| record_pdf | Abstract |
| spelling | utm-123456789-397062025-08-21T11:16:19Z On algebraic properties of two–dimensional b–bistochastic genetic algebra Norhuda Afini Mohd. Rosli Fadillah Embong, supervisor Science Not available Genetic algebras generated by b-bistochastic quadratic stochastic operators (QSOs) is called as b-bistochastic genetic algebras. To study QSOs in general is tricky, thus researchers introduce classes of QSO such as Volterra QSOs, orthogonal QSOs and doubly QSOs. Some of algebraic properties of these classes of QSOs have been investigated by several researchers. This study considers b-bistochastic QSO, in particular to two-dimensional b-bistochastic genetic algebras. The purpose of this study is to investigate the algebraic properties of two-dimensional b-bistochastic genetic algebra, specifically their associativity, derivative and Jordan. The fixed points of b-bistochastic QSOs on one- and two-dimensional simplex are also studied. Full description of associative b-bistochastic genetic algebra is proven in this study. The existence of trivial and non-trivial derivations on such algebra are presented. Furthermore, the condition for b-bistochastic genetic algebra becomes Jordan algebra is given. Lastly, this study has discovered the fixed points of one- and two-dimensional simplex b-bistochastic genetic algebra. Complete statements of the fixed points are given. It is found that two-dimensional simplex b-bistochastic genetic algebra does not have internal fixed point. shafika UTM 67 p. Thesis (Bachelor of Science (Mathematics)) - Universiti Teknologi Malaysia, 2021 2025-03-05T04:50:18Z 2025-03-05T04:50:18Z 2021 Bachelor thesis https://utmik.utm.my/handle/123456789/39706 vital:155974 valet-20240222-12142 ENG Closed Access UTM Complete Published Completion application/pdf Universiti Teknologi Malaysia |
| spellingShingle | Science Norhuda Afini Mohd. Rosli On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| thesis_level |
Other
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| title | On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| title_full | On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| title_fullStr | On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| title_full_unstemmed | On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| title_short | On algebraic properties of two–dimensional b–bistochastic genetic algebra |
| title_sort | on algebraic properties of two dimensional b bistochastic genetic algebra |
| topic | Science |
| url | https://utmik.utm.my/handle/123456789/39706 |
| work_keys_str_mv | AT norhudaafinimohdrosli onalgebraicpropertiesoftwodimensionalbbistochasticgeneticalgebra |