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International Journal of Fuzzy Mathematical Archive
Year : 2022, Volume : 20, Issue : 2
First page : ( 81) Last page : ( 91)
Print ISSN : 2320-3242. Online ISSN : 2320-3250.
Article DOI : 10.22457/ijfma.v20n2a06240

A study on m-polar fuzzy detour g-boundary node and m-polar fuzzy detour g-interior node of an m-polar fuzzy and application

Mandal Sonia*

Government General Degree College, Kharagpur-II, Madpur-721149, West Bengal, India

*Email: soniamandal1234@gmail.com

Online Published on 20 February, 2024.

Abstract

In this article, we introduce the concepts of m-polar fuzzy (mPF) detour gboundary nodes and mPF detour g-interior nodes within m-polar fuzzy graphs (mPFGs). We explore their significance and examine their properties. Furthermore, we establish a relationship between mPF detour g-boundary nodes and mPF cut vertices. Utilizing the notion of maximum mPF spanning trees, we define mPF detour g-boundary nodes and mPF detour g-interior nodes in mPF trees. Additionally, we investigate the characteristics of mPF complete vertices, mPF detour g-interior nodes, and mPF detour g-boundary nodes. Finally, we provide applications of these concepts.

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Keywords

MPFG, MPF detour g-distance, MPF detour g interior node, MPF detour g boundary node.

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