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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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Main Authors: Mamat, Siti Salwana, Awang, Siti Rahmah, Ahmad, Tahir
Format: Article
Published: Hindawi Limited 2020
Subjects:
QA Mathematics
Online Access:http://eprints.utm.my/id/eprint/93884/
http://dx.doi.org/10.1155/2020/8697890
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spelling 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
institution Universiti Teknologi Malaysia
building UTM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Malaysia
content_source UTM Institutional Repository
url_provider http://eprints.utm.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mamat, Siti Salwana
Awang, Siti Rahmah
Ahmad, Tahir
Preference graph of potential method as a fuzzy graph
description 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
title_full_unstemmed Preference graph of potential method as a fuzzy graph
title_sort preference graph of potential method as a fuzzy graph
publisher Hindawi Limited
publishDate 2020
url http://eprints.utm.my/id/eprint/93884/
http://dx.doi.org/10.1155/2020/8697890
_version_ 1726791449927745536
score 13.18916

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