Certain Concepts of Interval-Valued Intuitionistic Fuzzy Graphs with an Application | Zendy

Peng Xu | Zendy; Hao Guan | Zendy; Ali Asghar Talebi | Zendy; M. Ghassemi | Zendy; Hossein Rashmanlou | Zendy

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Certain Concepts of Interval-Valued Intuitionistic Fuzzy Graphs with an Application

Author(s) -

Peng Xu,

Hao Guan,

Ali Asghar Talebi,

M. Ghassemi,

Hossein Rashmanlou

Publication year - 2022

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2022/6350959

Subject(s) - enhanced data rates for gsm evolution , interval (graph theory) , fuzzy logic , computer science , mathematics , graph , discrete mathematics , combinatorics , artificial intelligence

Interval-valued intuitionistic fuzzy graph (IVIFG), belonging to the FGs family, has good capabilities when facing with problems that cannot be expressed by FGs. When an element membership is not clear, neutrality is a good option that can be well supported by an IVIFG. The previous definitions of limitations in edge irregular FG have led us to offer new definitions in IVIFGs. Hence, in this paper, some types of edge irregular interval-valued intuitionistic fuzzy graphs (EI-IVIFGs) such as neighborly edge totally irregular (NETI), strongly edge irregular (SEI), and strongly edge totally irregular (SETI) are introduced. A comparative study between NEI-IVIFGs and NETI-IVIFGs is done. With the help of IVIFGs, the most efficient person in an organization can be identified according to the important factors that can be useful for an institution. Finally, an application of IVIFG has been introduced.

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