A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application
Covering, matching, and domination are the basic concepts in graphs that play a decisive role in the properties of graphs. Calculating these parameters is one of the difficulties in fuzzy graphs when it is not possible to accurately determine the values of the vertices of a graph. The interval-value...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2022/2412012 |
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| _version_ | 1832558416989519872 |
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| author | Xiaoli Qiang Saeed Kosari Xiang Chen Ali Asghar Talebi Ghulam Muhiuddin Seyed Hossein Sadati |
| author_facet | Xiaoli Qiang Saeed Kosari Xiang Chen Ali Asghar Talebi Ghulam Muhiuddin Seyed Hossein Sadati |
| author_sort | Xiaoli Qiang |
| collection | DOAJ |
| description | Covering, matching, and domination are the basic concepts in graphs that play a decisive role in the properties of graphs. Calculating these parameters is one of the difficulties in fuzzy graphs when it is not possible to accurately determine the values of the vertices of a graph. The interval-valued intuitionistic fuzzy graph (IVIFG) is one of the fuzzy graphs which can play an important role in solving uncertain problems in different sciences such as psychology, biological sciences, medicine, and social networks. The necessity of using a range of value instead of one number caused them to help researchers in optimizing and saving time and cost. In this study, we introduce some of the specific concepts such as covering, matching, and paired domination using strong arc or effective edges by giving appropriate examples. In addition, we have calculated strong node covering number, strong independent number, and other parameters of complete bipartite IVIFGs with several examples. Finally, we have presented an application of IVIFG in social networks. |
| format | Article |
| id | doaj-art-dd411f541c05480a8a33892ab2124bc4 |
| institution | Kabale University |
| issn | 1687-9139 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-dd411f541c05480a8a33892ab2124bc42025-02-03T01:32:32ZengWileyAdvances in Mathematical Physics1687-91392022-01-01202210.1155/2022/2412012A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an ApplicationXiaoli Qiang0Saeed Kosari1Xiang Chen2Ali Asghar Talebi3Ghulam Muhiuddin4Seyed Hossein Sadati5Institute of Computing Science and TechnologyInstitute of Computing Science and TechnologyInstitute of Computing Science and TechnologyDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsCovering, matching, and domination are the basic concepts in graphs that play a decisive role in the properties of graphs. Calculating these parameters is one of the difficulties in fuzzy graphs when it is not possible to accurately determine the values of the vertices of a graph. The interval-valued intuitionistic fuzzy graph (IVIFG) is one of the fuzzy graphs which can play an important role in solving uncertain problems in different sciences such as psychology, biological sciences, medicine, and social networks. The necessity of using a range of value instead of one number caused them to help researchers in optimizing and saving time and cost. In this study, we introduce some of the specific concepts such as covering, matching, and paired domination using strong arc or effective edges by giving appropriate examples. In addition, we have calculated strong node covering number, strong independent number, and other parameters of complete bipartite IVIFGs with several examples. Finally, we have presented an application of IVIFG in social networks.http://dx.doi.org/10.1155/2022/2412012 |
| spellingShingle | Xiaoli Qiang Saeed Kosari Xiang Chen Ali Asghar Talebi Ghulam Muhiuddin Seyed Hossein Sadati A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application Advances in Mathematical Physics |
| title | A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application |
| title_full | A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application |
| title_fullStr | A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application |
| title_full_unstemmed | A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application |
| title_short | A Novel Description of Some Concepts in Interval-Valued Intuitionistic Fuzzy Graph with an Application |
| title_sort | novel description of some concepts in interval valued intuitionistic fuzzy graph with an application |
| url | http://dx.doi.org/10.1155/2022/2412012 |
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