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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/6301693 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832550219708891136 |
|---|---|
| author | Muhammad Akram Noura Alshehri Rabia Akmal |
| author_facet | Muhammad Akram Noura Alshehri Rabia Akmal |
| author_sort | Muhammad Akram |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-78d442700d124495b69e8acdd2a20291 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-78d442700d124495b69e8acdd2a202912025-02-03T06:07:27ZengWileyDiscrete 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 |
| spellingShingle | Muhammad Akram Noura Alshehri Rabia Akmal Certain Concepts in m-Polar Fuzzy Graph Structures Discrete Dynamics in Nature and Society |
| title | 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_short | Certain Concepts in m-Polar Fuzzy Graph Structures |
| title_sort | certain concepts in m polar fuzzy graph structures |
| url | http://dx.doi.org/10.1155/2016/6301693 |
| work_keys_str_mv | AT muhammadakram certainconceptsinmpolarfuzzygraphstructures AT nouraalshehri certainconceptsinmpolarfuzzygraphstructures AT rabiaakmal certainconceptsinmpolarfuzzygraphstructures |