An approach to neutrosophic graph theory with applications

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dc.authorid56285350800
dc.contributor.authorŞahin R.
dc.date.accessioned20.04.201910:49:12
dc.date.accessioned2019-04-20T21:42:59Z
dc.date.available20.04.201910:49:12
dc.date.available2019-04-20T21:42:59Z
dc.date.issued2019
dc.departmentBayburt Üniversitesien_US
dc.description.abstractGraph theory that can be used to describe the relationships among several individuals has numerous applications in diverse fields such as modern sciences and technology, database theory, data mining, neural networks, expert systems, cluster analysis, control theory, and image capturing. As a generalization of fuzzy set (FS) and intuitionistic fuzzy set (IFS), the concept of neutrosophic set is a more functional tool for handling indeterminate, inconsistent and uncertain information that exist in real life compared to FSs and IFSs. In this paper, we apply the graph theory to the single-valued neutrosophic sets and investigate a new kind of graph structure which is called single-valued neutrosophic graphs and is generalized the results concerning crisp graphs, fuzzy graphs and intuitionistic fuzzy graphs. Then we describe some of their theoretical properties, such as the Cartesian product, composition, union and join. By applying two different procedures to solve single-valued neutrosophic decision-making problems, a neutrosophic graph-based multicriteria decision-making model is developed to consider relationships among the multi-input arguments which cannot be handled well by means of the existing methods. Finally, two illustrative examples are given to demonstrate the applicability, feasibility, effectiveness and advantages of these two proposed approaches. © 2017, Springer-Verlag GmbH Germany.en_US
dc.identifier.doi10.1007/s00500-017-2875-1
dc.identifier.endpage581
dc.identifier.issn1432-7643
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85031418793en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage569
dc.identifier.urihttps://dx.doi.org/10.1007/s00500-017-2875-1
dc.identifier.urihttps://hdl.handle.net/20.500.12403/318
dc.identifier.volume23
dc.identifier.wosWOS:000456317200015en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherSpringer Verlag
dc.relation.ispartofSoft Computingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectGraph theory
dc.subjectGraph-based multicriteria decision making
dc.subjectSingle-valued neutrosophic graph
dc.subjectSingle-valued neutrosophic set
dc.subjectCluster analysis
dc.subjectControl theory
dc.subjectData mining
dc.subjectDecision making
dc.subjectDecision theory
dc.subjectExpert systems
dc.subjectFuzzy sets
dc.subjectFuzzy systems
dc.subjectGraphic methods
dc.subjectDecision-making problem
dc.subjectIntuitionistic fuzzy
dc.subjectIntuitionistic fuzzy sets
dc.subjectMulti criteria decision making
dc.subjectMulti-criteria decision-making models
dc.subjectNeutrosophic sets
dc.subjectSingle-valued neutrosophic graph
dc.subjectUncertain informations
dc.subjectGraph theory
dc.subjectGraph theory
dc.subjectGraph-based multicriteria decision making
dc.subjectSingle-valued neutrosophic graph
dc.subjectSingle-valued neutrosophic set
dc.subjectCluster analysis
dc.subjectControl theory
dc.subjectData mining
dc.subjectDecision making
dc.subjectDecision theory
dc.subjectExpert systems
dc.subjectFuzzy sets
dc.subjectFuzzy systems
dc.subjectGraphic methods
dc.subjectDecision-making problem
dc.subjectIntuitionistic fuzzy
dc.subjectIntuitionistic fuzzy sets
dc.subjectMulti criteria decision making
dc.subjectMulti-criteria decision-making models
dc.subjectNeutrosophic sets
dc.subjectSingle-valued neutrosophic graph
dc.subjectUncertain informations
dc.subjectGraph theory
dc.titleAn approach to neutrosophic graph theory with applicationsen_US
dc.typeArticleen_US

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