Certain Concepts in -Polar Fuzzy Graph Structures

Muhammad Akram, Noura Alshehri and Rabia Akmal

Discrete Dynamics in Nature and Society, 2016, vol. 2016, 1-9

Abstract:

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

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6301693

DOI: 10.1155/2016/6301693

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