Fuzzy weak autocatalytic set and its application
Thesis (PhD. (Chemistry))
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| Format: | Thesis |
| Language: | English |
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Universiti Teknologi Malaysia
2023
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| Online Access: | http://openscience.utm.my/handle/123456789/465 |
| _version_ | 1796848790937796608 |
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| author | Mamat, Siti Salwana |
| author_facet | Mamat, Siti Salwana |
| author_sort | Mamat, Siti Salwana |
| collection | OpenScience |
| description | Thesis (PhD. (Chemistry)) |
| first_indexed | 2024-03-04T10:32:58Z |
| format | Thesis |
| id | oai:openscience.utm.my:123456789/465 |
| institution | Universiti Teknologi Malaysia - OpenScience |
| language | English |
| last_indexed | 2024-03-04T10:32:58Z |
| publishDate | 2023 |
| publisher | Universiti Teknologi Malaysia |
| record_format | dspace |
| spelling | oai:openscience.utm.my:123456789/4652023-09-24T11:10:50Z Fuzzy weak autocatalytic set and its application Mamat, Siti Salwana Graph theory Fuzzy graphs Autocatalysis Catalysis--Mathematical models Thesis (PhD. (Chemistry)) In graph theory, an Autocatalytic Set is defined as a directed graph where every vertex has at least one incoming link. On the other hand, the Potential Method is an established graph based on a concept for optimization purpose. Firstly, a restricted form of Autocatalytic Set, namely Weak Autocatalytic Set, which is a derivation of transitive tournament is introduced in this study. A Weak Autocatalytic Set is defined to allow some freedom on connectivities of its vertices. Then, the classification of the tournament according to their transitivity and property of Autocatalytic Set are presented in this study. Secondly, a new mathematical concept, namely, Fuzzy Weak Autocatalytic Set is defined and its relation to transitive Potential Method is established. Furthermore, some theorems are proven to feature their properties. This study revealed that any preference graph is a fuzzy graph of Type 5. Finally, a novel ranking method by Fuzzy Weak Autocatalytic Set is proposed to accommodate Potential Method with fuzzy or uncertainties edges. An algorithm is developed, and then implemented on two published decision-making problems which are project manager selection and robots structures evaluation to illustrate as well as to validate the effectiveness of the proposed method. Faculty of Science 2023-07-18T07:40:23Z 2023-07-18T07:40:23Z 2020 Thesis Dataset http://openscience.utm.my/handle/123456789/465 en application/pdf application/pdf application/pdf Universiti Teknologi Malaysia |
| spellingShingle | Graph theory Fuzzy graphs Autocatalysis Catalysis--Mathematical models Mamat, Siti Salwana Fuzzy weak autocatalytic set and its application |
| title | Fuzzy weak autocatalytic set and its application |
| title_full | Fuzzy weak autocatalytic set and its application |
| title_fullStr | Fuzzy weak autocatalytic set and its application |
| title_full_unstemmed | Fuzzy weak autocatalytic set and its application |
| title_short | Fuzzy weak autocatalytic set and its application |
| title_sort | fuzzy weak autocatalytic set and its application |
| topic | Graph theory Fuzzy graphs Autocatalysis Catalysis--Mathematical models |
| url | http://openscience.utm.my/handle/123456789/465 |
| work_keys_str_mv | AT mamatsitisalwana fuzzyweakautocatalyticsetanditsapplication |