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
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Official URL: http://dx.doi.org/10.1155/2020/8697890
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | autocatalytic set (ACS), fuzzy weak autocatalytic set (FWACS) |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Science |
| ID Code: | 93884 |
| Deposited By: | Widya Wahid |
| Deposited On: | 28 Feb 2022 13:17 |
| Last Modified: | 28 Feb 2022 13:17 |
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