Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities
The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in the Picture Fuzzy Graph (PFG), which is a more common platform for expressing the degree of positive, negative, and neutral membership functions. Picture Fuzzy Soft Graphs (PFSGs) are powerful mathematical tool...
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-03-01
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| Series: | Journal of Fuzzy Extension and Applications |
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| Online Access: | https://www.journal-fea.com/article_189575_45187e89942fa0228de0c32b0e07ed34.pdf |
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| author | R. V Jaikumar Raman Sundareswaran Marayanagaraj Shanmugapriya Said Broumi Talal Ali Al-Hawary |
| author_facet | R. V Jaikumar Raman Sundareswaran Marayanagaraj Shanmugapriya Said Broumi Talal Ali Al-Hawary |
| author_sort | R. V Jaikumar |
| collection | DOAJ |
| description | The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in the Picture Fuzzy Graph (PFG), which is a more common platform for expressing the degree of positive, negative, and neutral membership functions. Picture Fuzzy Soft Graphs (PFSGs) are powerful mathematical tools for modeling real-world vagueness. The concept of vulnerability parameters of PFSG is provided in this research work by introducing the novel cardinality, domination number, integrity, and Domination Integrity (ÐÏ) of PFSG. Furthermore, a decision-making method for the PFSG has been presented using ÐÏ to suggest an algorithm for determining the ideal location for establishing a city diagnosis center |
| format | Article |
| id | doaj-art-3d5484d9973e47e1aeb2857774c58c58 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-03-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-3d5484d9973e47e1aeb2857774c58c582025-01-30T15:07:00ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-03-0151869910.22105/jfea.2024.428227.1336189575Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in citiesR. V Jaikumar0Raman Sundareswaran1Marayanagaraj Shanmugapriya2Said Broumi3Talal Ali Al-Hawary4Department of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai, India.Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.Laboratory of Information Processing, Faculty of Science Ben M'Sik, University of Hassan II, Casablanca, Morocco.Department of Mathematics, Science College, Yarmouk University, Irbid-Jordan.The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in the Picture Fuzzy Graph (PFG), which is a more common platform for expressing the degree of positive, negative, and neutral membership functions. Picture Fuzzy Soft Graphs (PFSGs) are powerful mathematical tools for modeling real-world vagueness. The concept of vulnerability parameters of PFSG is provided in this research work by introducing the novel cardinality, domination number, integrity, and Domination Integrity (ÐÏ) of PFSG. Furthermore, a decision-making method for the PFSG has been presented using ÐÏ to suggest an algorithm for determining the ideal location for establishing a city diagnosis centerhttps://www.journal-fea.com/article_189575_45187e89942fa0228de0c32b0e07ed34.pdfpicture fuzzy soft graphscardinalitydominating setintegritydomination integrity |
| spellingShingle | R. V Jaikumar Raman Sundareswaran Marayanagaraj Shanmugapriya Said Broumi Talal Ali Al-Hawary Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities Journal of Fuzzy Extension and Applications picture fuzzy soft graphs cardinality dominating set integrity domination integrity |
| title | Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| title_full | Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| title_fullStr | Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| title_full_unstemmed | Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| title_short | Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| title_sort | vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities |
| topic | picture fuzzy soft graphs cardinality dominating set integrity domination integrity |
| url | https://www.journal-fea.com/article_189575_45187e89942fa0228de0c32b0e07ed34.pdf |
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