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...

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Main Authors: Sadegh Banitalebi, Rajab Ali Borzooei
Format: Article
Language:English
Published: University of New Mexico 2021-08-01
Series:Neutrosophic Sets and Systems
Subjects:
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.
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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
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