Certain Concepts in m-Polar Fuzzy Graph Structures

Certain Concepts in m-Polar Fuzzy Graph Structures

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...

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Main Authors: Muhammad Akram, Noura Alshehri, Rabia Akmal
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2016/6301693
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spelling doaj-78d442700d124495b69e8acdd2a202912020-11-25T00:07:23ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/63016936301693Certain Concepts in m-Polar Fuzzy Graph StructuresMuhammad Akram0Noura Alshehri1Rabia Akmal2Department of Mathematics, University of the Punjab, New Campus, Lahore, PakistanDepartment of Mathematics, Faculty of Science, King Abdulaziz University, Al-Faisaliah Campus, Jeddah, Saudi ArabiaDepartment of Mathematics, University of the Punjab, New Campus, Lahore, PakistanWe 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.http://dx.doi.org/10.1155/2016/6301693
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Akram
Noura Alshehri
Rabia Akmal
spellingShingle Muhammad Akram
Noura Alshehri
Rabia Akmal
Certain Concepts in m-Polar Fuzzy Graph Structures
Discrete Dynamics in Nature and Society
author_facet Muhammad Akram
Noura Alshehri
Rabia Akmal
author_sort Muhammad Akram
title Certain Concepts in m-Polar Fuzzy Graph Structures
title_short Certain Concepts in m-Polar Fuzzy Graph Structures
title_full Certain Concepts in m-Polar Fuzzy Graph Structures
title_fullStr Certain Concepts in m-Polar Fuzzy Graph Structures
title_full_unstemmed Certain Concepts in m-Polar Fuzzy Graph Structures
title_sort certain concepts in m-polar fuzzy graph structures
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2016-01-01
description 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.
url http://dx.doi.org/10.1155/2016/6301693
work_keys_str_mv AT muhammadakram certainconceptsinmpolarfuzzygraphstructures
AT nouraalshehri certainconceptsinmpolarfuzzygraphstructures
AT rabiaakmal certainconceptsinmpolarfuzzygraphstructures
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