Certain Concepts in m‐Polar Fuzzy Graph Structures

Muhammad Akram, Noura Alshehri and Rabia Akmal

Discrete Dynamics in Nature and Society, 2016, vol. 2016, issue 1

Abstract: We apply the concept of m‐polar fuzzy sets to graph structures. We introduce certain concepts in m‐polar fuzzy graph structures, including strong m‐polar fuzzy graph structure, m‐polar fuzzy Di‐cycle, m‐polar fuzzy Di‐tree, m‐polar fuzzy Di‐cut vertex, and m‐polar fuzzy Di‐bridge, and we illustrate these concepts by several examples. We present the notions of ϕ‐complement of an m‐polar fuzzy graph structure and self‐complementary, strong self‐complementary, totally strong self‐complementary m‐polar fuzzy graph structures, and we investigate some of their properties.

Date: 2016
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https://doi.org/10.1155/2016/6301693

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnddns:v:2016:y:2016:i:1:n:6301693

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