Neutrosophic special dominating set in neutrosophic graphs
The neutrosophic graph is a new version of graph theory that has recently been proposed as an extension of fuzzy graph and intuitionistic fuzzy graph that provides more precision compatibility and flexibility than a fuzzy graph and an intuitionistic fuzzy graph in structuring and modelling many real...
Main Authors: | , |
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Format: | Article |
Language: | English |
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University of New Mexico
2021-08-01
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Series: | Neutrosophic Sets and Systems |
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Online Access: | http://fs.unm.edu/NSS/NeutrosophicSpecialDominatingSet3.pdf |
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author | Sadegh Banitalebi Rajab Ali Borzooei |
author_facet | Sadegh Banitalebi Rajab Ali Borzooei |
author_sort | Sadegh Banitalebi |
collection | DOAJ |
description | The neutrosophic graph is a new version of graph theory that has recently been proposed as an extension of fuzzy graph and intuitionistic fuzzy graph that provides more precision compatibility and flexibility than a fuzzy graph and an intuitionistic fuzzy graph in structuring and modelling many real-life problems. The aim of this paper is to offer for the first time the new concepts of neutrosophic highly strong arc, neutrosophic special dominating set, neutrosophic special domination numbers, neutrosophic special cobondage set and neutrosophic special cobondage numbers in the neutrosophic graph, as well as expressing some of relation and results of them and reduce the effect of adding a neutrosophic highly strong arc on neutrosophic special domination number parameter in a neutrosophic graph. Finally, an application related to decision making based on agents affecting the performance of the organization is provided. |
first_indexed | 2024-04-13T23:54:51Z |
format | Article |
id | doaj.art-c873172c05ec43a787ec5f935663b3e3 |
institution | Directory Open Access Journal |
issn | 2331-6055 2331-608X |
language | English |
last_indexed | 2024-04-13T23:54:51Z |
publishDate | 2021-08-01 |
publisher | University of New Mexico |
record_format | Article |
series | Neutrosophic Sets and Systems |
spelling | doaj.art-c873172c05ec43a787ec5f935663b3e32022-12-22T02:23:56ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2021-08-0145263910.5281/zenodo.5485380Neutrosophic special dominating set in neutrosophic graphsSadegh BanitalebiRajab Ali BorzooeiThe neutrosophic graph is a new version of graph theory that has recently been proposed as an extension of fuzzy graph and intuitionistic fuzzy graph that provides more precision compatibility and flexibility than a fuzzy graph and an intuitionistic fuzzy graph in structuring and modelling many real-life problems. The aim of this paper is to offer for the first time the new concepts of neutrosophic highly strong arc, neutrosophic special dominating set, neutrosophic special domination numbers, neutrosophic special cobondage set and neutrosophic special cobondage numbers in the neutrosophic graph, as well as expressing some of relation and results of them and reduce the effect of adding a neutrosophic highly strong arc on neutrosophic special domination number parameter in a neutrosophic graph. Finally, an application related to decision making based on agents affecting the performance of the organization is provided. http://fs.unm.edu/NSS/NeutrosophicSpecialDominatingSet3.pdfneutrosophic graphneutrosophic special dominating setneutrosophic special domination numberneutrosophic special cobondage setneutrosophic special cobondage number |
spellingShingle | Sadegh Banitalebi Rajab Ali Borzooei Neutrosophic special dominating set in neutrosophic graphs Neutrosophic Sets and Systems neutrosophic graph neutrosophic special dominating set neutrosophic special domination number neutrosophic special cobondage set neutrosophic special cobondage number |
title | Neutrosophic special dominating set in neutrosophic graphs |
title_full | Neutrosophic special dominating set in neutrosophic graphs |
title_fullStr | Neutrosophic special dominating set in neutrosophic graphs |
title_full_unstemmed | Neutrosophic special dominating set in neutrosophic graphs |
title_short | Neutrosophic special dominating set in neutrosophic graphs |
title_sort | neutrosophic special dominating set in neutrosophic graphs |
topic | neutrosophic graph neutrosophic special dominating set neutrosophic special domination number neutrosophic special cobondage set neutrosophic special cobondage number |
url | http://fs.unm.edu/NSS/NeutrosophicSpecialDominatingSet3.pdf |
work_keys_str_mv | AT sadeghbanitalebi neutrosophicspecialdominatingsetinneutrosophicgraphs AT rajabaliborzooei neutrosophicspecialdominatingsetinneutrosophicgraphs |