Journal
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume 35, Issue 3, Pages 3405-3411Publisher
IOS PRESS
DOI: 10.3233/JIFS-17285
Keywords
Generalized fuzzy graphs; generalized directed fuzzy graphs; fuzzy cuts; capacity
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Funding
- research fund of Hanyang University (HY-2018-F) [201800000001370]
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A fuzzy graph is a representation tool for many real networks. But, due to some restriction on edges, fuzzy graphs are limited to represent for some networks. In this study, generalized fuzzy graphs and generalized directed fuzzy graphs are discussed to avoid such restrictions. A pipeline network is expressed as a generalized directed fuzzy graph. In the pipeline network, the generalized membership values of edges and vertices are determined by the capacity of the pipelines. Also, fuzzy r-cuts and fuzzy (r(1), r(2),..., r(n))-cuts in the generalized fuzzy graphs are defined.
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