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Inventi Impact: Fuzzy Systems

Articles

  • Inventi:efs/32064/20
    Preference Graph of Potential Method as a Fuzzy Graph
    Research 2020 : July - September
    Siti Salwana Mamat, Siti Rahmah Awang, Tahir Ahmad

    An autocatalytic set (ACS) is a graph. On the other hand, the Potential Method (PM) is an established graph based concept for\noptimization purpose. Firstly, a restricted form of ACS, namely, weak autocatalytic set (WACS), a derivation of transitive\ntournament, is introduced in this study. Then, a new mathematical concept, namely, fuzzy weak autocatalytic set (FWACS), is\ndefined and its relations to transitive PM are established. Some theorems are proven to highlight their relations. Finally, this paper\nconcludes that any preference graph is a fuzzy graph Type 5.

    How to Cite this Article
    Attribution/ CC Compliant Citation: Mamat, Siti Salwana, Siti Rahmah Awang, and Tahir Ahmad. \"Preference Graph of Potential\nMethod as a Fuzzy Graph.\" Advances in Fuzzy Systems 2020 (2020).\nhttps://doi.org/10.1155/2020/8697890\nhttp://creativecommons.org/licenses/by/4.0/\n\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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