Certain Types of Interval-Valued Fuzzy Graphs

Certain Types of Interval-Valued Fuzzy Graphs

We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-v...

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Main Authors: Muhammad Akram, Noura Omair Alshehri, Wieslaw A. Dudek
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/857070
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spelling doaj-ef7467dadb67454b8b1999edc4ed1bcb2020-11-24T22:57:41ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/857070857070Certain Types of Interval-Valued Fuzzy GraphsMuhammad Akram0Noura Omair Alshehri1Wieslaw A. Dudek2Punjab University College of Information Technology, University of the Punjab, Old Campus, Lahore 54000, PakistanDepartment of Mathematics, Faculty of Sciences (Girls), King Abdulaziz University, Jeddah, Saudi ArabiaInstitute of Mathematics and Computer Science, Wroclaw University of Technology, Wybrzeze Wyspianskiego 27, 50-370 Wroclaw, PolandWe propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-valued fuzzy graphs. Some interesting properties associated with these new interval-valued fuzzy graphs are investigated, and necessary and sufficient conditions under which neighbourly irregular and highly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs.http://dx.doi.org/10.1155/2013/857070
collection DOAJ
language English
format Article
sources DOAJ
author Muhammad Akram
Noura Omair Alshehri
Wieslaw A. Dudek
spellingShingle Muhammad Akram
Noura Omair Alshehri
Wieslaw A. Dudek
Certain Types of Interval-Valued Fuzzy Graphs
Journal of Applied Mathematics
author_facet Muhammad Akram
Noura Omair Alshehri
Wieslaw A. Dudek
author_sort Muhammad Akram
title Certain Types of Interval-Valued Fuzzy Graphs
title_short Certain Types of Interval-Valued Fuzzy Graphs
title_full Certain Types of Interval-Valued Fuzzy Graphs
title_fullStr Certain Types of Interval-Valued Fuzzy Graphs
title_full_unstemmed Certain Types of Interval-Valued Fuzzy Graphs
title_sort certain types of interval-valued fuzzy graphs
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-valued fuzzy graphs. Some interesting properties associated with these new interval-valued fuzzy graphs are investigated, and necessary and sufficient conditions under which neighbourly irregular and highly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs.
url http://dx.doi.org/10.1155/2013/857070
work_keys_str_mv AT muhammadakram certaintypesofintervalvaluedfuzzygraphs
AT nouraomairalshehri certaintypesofintervalvaluedfuzzygraphs
AT wieslawadudek certaintypesofintervalvaluedfuzzygraphs
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