Hyper-connectivity index for fuzzy graph with application

Yükleniyor...
Küçük Resim

Tarih

2023-07

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Işık University Press

Erişim Hakkı

info:eu-repo/semantics/openAccess
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.