Certain Concepts in Vague Graph with an Application
Vague graphs (VGs), belonging to the FGs family, have good capabilities when faced with problems that cannot be expressed by FGs. When an element’s membership is not clear, neutrality is a good option that can be well-supported by a VG. The previous definition limitations in irregular-FG have led us...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/2400349 |
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| author | Xiaolong Shi Maryam Akhoundi Mohammadsadegh Monemrad Swati Agarwal |
| author_facet | Xiaolong Shi Maryam Akhoundi Mohammadsadegh Monemrad Swati Agarwal |
| author_sort | Xiaolong Shi |
| collection | DOAJ |
| description | Vague graphs (VGs), belonging to the FGs family, have good capabilities when faced with problems that cannot be expressed by FGs. When an element’s membership is not clear, neutrality is a good option that can be well-supported by a VG. The previous definition limitations in irregular-FG have led us to offer new definitions in VGs. So, in this paper, we introduce the concepts of strongly edged irregular vague graphs (SEIVGs), strongly edged totally irregular vague graphs (SETIVGs), and perfectly regular vague graphs (PRVGs) with several examples. A comparative study between SEIVGs and SETIVGs is presented. Finally, an application of vague influence digraph has been presented. |
| format | Article |
| id | doaj-art-b737b40ffe5c4928aefbb6b886fc6fbd |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-b737b40ffe5c4928aefbb6b886fc6fbd2025-02-03T07:24:18ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/2400349Certain Concepts in Vague Graph with an ApplicationXiaolong Shi0Maryam Akhoundi1Mohammadsadegh Monemrad2Swati Agarwal3Institute of Computing Science and TechnologyClinical Research Development Unit of Rouhani HospitalInstitute of MathematicsDepartment of MathematicsVague graphs (VGs), belonging to the FGs family, have good capabilities when faced with problems that cannot be expressed by FGs. When an element’s membership is not clear, neutrality is a good option that can be well-supported by a VG. The previous definition limitations in irregular-FG have led us to offer new definitions in VGs. So, in this paper, we introduce the concepts of strongly edged irregular vague graphs (SEIVGs), strongly edged totally irregular vague graphs (SETIVGs), and perfectly regular vague graphs (PRVGs) with several examples. A comparative study between SEIVGs and SETIVGs is presented. Finally, an application of vague influence digraph has been presented.http://dx.doi.org/10.1155/2022/2400349 |
| spellingShingle | Xiaolong Shi Maryam Akhoundi Mohammadsadegh Monemrad Swati Agarwal Certain Concepts in Vague Graph with an Application Discrete Dynamics in Nature and Society |
| title | Certain Concepts in Vague Graph with an Application |
| title_full | Certain Concepts in Vague Graph with an Application |
| title_fullStr | Certain Concepts in Vague Graph with an Application |
| title_full_unstemmed | Certain Concepts in Vague Graph with an Application |
| title_short | Certain Concepts in Vague Graph with an Application |
| title_sort | certain concepts in vague graph with an application |
| url | http://dx.doi.org/10.1155/2022/2400349 |
| work_keys_str_mv | AT xiaolongshi certainconceptsinvaguegraphwithanapplication AT maryamakhoundi certainconceptsinvaguegraphwithanapplication AT mohammadsadeghmonemrad certainconceptsinvaguegraphwithanapplication AT swatiagarwal certainconceptsinvaguegraphwithanapplication |