Preference graph of potential method as a fuzzy graph
An autocatalytic set (ACS) is a graph. On the other hand, the Potential Method (PM) is an established graph based concept for optimization purpose. Firstly, a restricted form of ACS, namely, weak autocatalytic set (WACS), a derivation of transitive tournament, is introduced in this study. Then, a ne...
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2020
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my.utm.938842022-02-28T13:17:44Z http://eprints.utm.my/id/eprint/93884/ Preference graph of potential method as a fuzzy graph Mamat, Siti Salwana Awang, Siti Rahmah Ahmad, Tahir QA Mathematics An autocatalytic set (ACS) is a graph. On the other hand, the Potential Method (PM) is an established graph based concept for optimization purpose. Firstly, a restricted form of ACS, namely, weak autocatalytic set (WACS), a derivation of transitive tournament, is introduced in this study. Then, a new mathematical concept, namely, fuzzy weak autocatalytic set (FWACS), is defined and its relations to transitive PM are established. Some theorems are proven to highlight their relations. Finally, this paper concludes that any preference graph is a fuzzy graph Type 5. Hindawi Limited 2020 Article PeerReviewed Mamat, Siti Salwana and Awang, Siti Rahmah and Ahmad, Tahir (2020) Preference graph of potential method as a fuzzy graph. Advances in Fuzzy Systems, 2020 . p. 8697890. ISSN 1687-7101 http://dx.doi.org/10.1155/2020/8697890 |
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QA Mathematics Mamat, Siti Salwana Awang, Siti Rahmah Ahmad, Tahir Preference graph of potential method as a fuzzy graph |
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An autocatalytic set (ACS) is a graph. On the other hand, the Potential Method (PM) is an established graph based concept for optimization purpose. Firstly, a restricted form of ACS, namely, weak autocatalytic set (WACS), a derivation of transitive tournament, is introduced in this study. Then, a new mathematical concept, namely, fuzzy weak autocatalytic set (FWACS), is defined and its relations to transitive PM are established. Some theorems are proven to highlight their relations. Finally, this paper concludes that any preference graph is a fuzzy graph Type 5. |
| format |
Article |
| author |
Mamat, Siti Salwana Awang, Siti Rahmah Ahmad, Tahir |
| author_facet |
Mamat, Siti Salwana Awang, Siti Rahmah Ahmad, Tahir |
| author_sort |
Mamat, Siti Salwana |
| title |
Preference graph of potential method as a fuzzy graph |
| title_short |
Preference graph of potential method as a fuzzy graph |
| title_full |
Preference graph of potential method as a fuzzy graph |
| title_fullStr |
Preference graph of potential method as a fuzzy graph |
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Preference graph of potential method as a fuzzy graph |
| title_sort |
preference graph of potential method as a fuzzy graph |
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Hindawi Limited |
| publishDate |
2020 |
| url |
http://eprints.utm.my/id/eprint/93884/ http://dx.doi.org/10.1155/2020/8697890 |
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