Notes on Upper and Lower Truncation of Picture Fuzzy Graphs
Due to the absence of a neutral function, there are drawbacks to the existing definition of an intuitionistic fuzzy graph (Int-FG). In that definition of Int-FG, membership function and nonmembership function are involved. In this study, lower truncation (Low-T) and upper truncation (Up-T) are appli...
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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: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2022/7646828 |
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| author | Muhammad Shoaib Waqas Mahmood Ahmad N. Al-Kenani Sahidul Islam |
| author_facet | Muhammad Shoaib Waqas Mahmood Ahmad N. Al-Kenani Sahidul Islam |
| author_sort | Muhammad Shoaib |
| collection | DOAJ |
| description | Due to the absence of a neutral function, there are drawbacks to the existing definition of an intuitionistic fuzzy graph (Int-FG). In that definition of Int-FG, membership function and nonmembership function are involved. In this study, lower truncation (Low-T) and upper truncation (Up-T) are applied to picture fuzzy graphs (Pic-FGs). Pic-FG has an additional neutral membership function. Furthermore, Low-T and Up-T of subdivision of the picture fuzzy line graph (Pic-FLnG) are also discussed. The degree of an edge in both Up-T and Low-T of Pic-FG is discussed. Some related theorems related to the degree of Up-T and Low-T of Pic-FG are discussed. |
| format | Article |
| id | doaj-art-61c0af463e1445439d6c6da2f9f5927f |
| 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-61c0af463e1445439d6c6da2f9f5927f2025-02-03T05:50:17ZengWileyDiscrete Dynamics in Nature and Society1607-887X2022-01-01202210.1155/2022/7646828Notes on Upper and Lower Truncation of Picture Fuzzy GraphsMuhammad Shoaib0Waqas Mahmood1Ahmad N. Al-Kenani2Sahidul Islam3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of Mathematics and StatisticsDue to the absence of a neutral function, there are drawbacks to the existing definition of an intuitionistic fuzzy graph (Int-FG). In that definition of Int-FG, membership function and nonmembership function are involved. In this study, lower truncation (Low-T) and upper truncation (Up-T) are applied to picture fuzzy graphs (Pic-FGs). Pic-FG has an additional neutral membership function. Furthermore, Low-T and Up-T of subdivision of the picture fuzzy line graph (Pic-FLnG) are also discussed. The degree of an edge in both Up-T and Low-T of Pic-FG is discussed. Some related theorems related to the degree of Up-T and Low-T of Pic-FG are discussed.http://dx.doi.org/10.1155/2022/7646828 |
| spellingShingle | Muhammad Shoaib Waqas Mahmood Ahmad N. Al-Kenani Sahidul Islam Notes on Upper and Lower Truncation of Picture Fuzzy Graphs Discrete Dynamics in Nature and Society |
| title | Notes on Upper and Lower Truncation of Picture Fuzzy Graphs |
| title_full | Notes on Upper and Lower Truncation of Picture Fuzzy Graphs |
| title_fullStr | Notes on Upper and Lower Truncation of Picture Fuzzy Graphs |
| title_full_unstemmed | Notes on Upper and Lower Truncation of Picture Fuzzy Graphs |
| title_short | Notes on Upper and Lower Truncation of Picture Fuzzy Graphs |
| title_sort | notes on upper and lower truncation of picture fuzzy graphs |
| url | http://dx.doi.org/10.1155/2022/7646828 |
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