New Results in Vague Incidence Graphs with Application
Vague incidence graph (VIG), belonging to the FG family has good capabilities when facing with problems that cannot be expressed by FGs. When an element membership is not clear, neutrality is a good option that can be well-supported by a VIG. The previous definitions limitations in connectivity conc...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/3475536 |
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| _version_ | 1832564911498067968 |
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| author | Yongsheng Rao Saeed Kosari Mehdi Gheisari |
| author_facet | Yongsheng Rao Saeed Kosari Mehdi Gheisari |
| author_sort | Yongsheng Rao |
| collection | DOAJ |
| description | Vague incidence graph (VIG), belonging to the FG family has good capabilities when facing with problems that cannot be expressed by FGs. When an element membership is not clear, neutrality is a good option that can be well-supported by a VIG. The previous definitions limitations in connectivity concept have led us to offer new definitions in VIGs. Hence, in this paper, the VIG and its matrix form are proposed. Vague incidence subgraph (VISG) is defined with several properties. Incidence pairs, paths, and connectivities between pairs in VIGs are introduced. Likewise, different types of strong and cut pair in VIGs are examined with their properties. Universities are one of the most important centers for human education and play an important role in the development of the country. But the point to be very careful is that the employees of a university must do their job in the best possible way. Therefore, we have tried to identify the most effective person in a university according to its performance by presenting an application. |
| format | Article |
| id | doaj-art-bdf87be5200d43228b7f0a5fbf9f9663 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-bdf87be5200d43228b7f0a5fbf9f96632025-02-03T01:09:57ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/3475536New Results in Vague Incidence Graphs with ApplicationYongsheng Rao0Saeed Kosari1Mehdi Gheisari2Institute of Computing Science and TechnologyInstitute of Computing Science and TechnologyYoung Researchers and Elite ClubVague incidence graph (VIG), belonging to the FG family has good capabilities when facing with problems that cannot be expressed by FGs. When an element membership is not clear, neutrality is a good option that can be well-supported by a VIG. The previous definitions limitations in connectivity concept have led us to offer new definitions in VIGs. Hence, in this paper, the VIG and its matrix form are proposed. Vague incidence subgraph (VISG) is defined with several properties. Incidence pairs, paths, and connectivities between pairs in VIGs are introduced. Likewise, different types of strong and cut pair in VIGs are examined with their properties. Universities are one of the most important centers for human education and play an important role in the development of the country. But the point to be very careful is that the employees of a university must do their job in the best possible way. Therefore, we have tried to identify the most effective person in a university according to its performance by presenting an application.http://dx.doi.org/10.1155/2022/3475536 |
| spellingShingle | Yongsheng Rao Saeed Kosari Mehdi Gheisari New Results in Vague Incidence Graphs with Application Journal of Function Spaces |
| title | New Results in Vague Incidence Graphs with Application |
| title_full | New Results in Vague Incidence Graphs with Application |
| title_fullStr | New Results in Vague Incidence Graphs with Application |
| title_full_unstemmed | New Results in Vague Incidence Graphs with Application |
| title_short | New Results in Vague Incidence Graphs with Application |
| title_sort | new results in vague incidence graphs with application |
| url | http://dx.doi.org/10.1155/2022/3475536 |
| work_keys_str_mv | AT yongshengrao newresultsinvagueincidencegraphswithapplication AT saeedkosari newresultsinvagueincidencegraphswithapplication AT mehdigheisari newresultsinvagueincidencegraphswithapplication |