Hyper-connectivity index for fuzzy graph with application
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Tarih
2023-07
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Işık University Press
Erişim Hakkı
info:eu-repo/semantics/openAccess
Attribution-NonCommercial-NoDerivs 3.0 United States
Attribution-NonCommercial-NoDerivs 3.0 United States
Özet
Connectivity concept is one of the most important parameters in fuzzy graphs (FGs). The stability of a FG is dependent on the strength of connectedness between each pair of vertices. Depending on “strength of connectedness between each pair of vertices” hyper-connectivity index for fuzzy graph (FHCI) is introduced and studied this index for various FGs like partial fuzzy subgraph, fuzzy subgraph, complete fuzzy graph, saturated cycle, isomorphic fuzzy graphs, etc. A relation of FHCI is established between fuzzy graph and partial fuzzy subgraph. Also, a relation between FHCI and connectivity index for fuzzy graph (FCI) is provided. In the end of the article, a decision-making problem is presented and solved it by using FHCI. Also, a comparison is provided among related indices on the result of application and shown that our method gives better result.
Açıklama
Anahtar Kelimeler
Fuzzy graph, Connectivity index, Hyper-connectivity index
Kaynak
TWMS Journal Of Applied And Engineering Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
3
Künye
Islam, Sk R. & Pal, M. (2023). Hyper-connectivity index for fuzzy graph with application. TWMS Journal Of Applied And Engineering Mathematics, 13(3), 920-936.