Graphical Structures of Cubic Intuitionistic Fuzzy Information
The theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval-valued fuzzy graph (IVFG). Moreover, several a...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9994977 |
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| author | Sami Ullah Khan Naeem Jan Kifayat Ullah Lazim Abdullah |
| author_facet | Sami Ullah Khan Naeem Jan Kifayat Ullah Lazim Abdullah |
| author_sort | Sami Ullah Khan |
| collection | DOAJ |
| description | The theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval-valued fuzzy graph (IVFG). Moreover, several associated concepts are established for CIFG, such as the idea subgraphs, degree of CIFG, order of CIFG, complement of CIFG, path in CIFG, strong CIFG, and the concept of bridges for CIFGs. Furthermore, the generalization of CIFG is proved with the help of some remarks. In addition, the comparison among the existing and the proposed ideas is carried out. Finally, an application of CIFG in decision-making problem is studied, and some future study is proposed. |
| format | Article |
| id | doaj-art-46ea0528fdce484a8a856064fb88626e |
| institution | DOAJ |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-46ea0528fdce484a8a856064fb88626e2025-08-20T02:39:19ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/99949779994977Graphical Structures of Cubic Intuitionistic Fuzzy InformationSami Ullah Khan0Naeem Jan1Kifayat Ullah2Lazim Abdullah3Department of Mathematics, Institute of Numerical Sciences, Gomal University D. I. Khan, Dera Ismail Khan, PakistanDepartment of Mathematics, Institute of Numerical Sciences, Gomal University D. I. Khan, Dera Ismail Khan, PakistanDepartment of Mathematics, Riphah Institute of Computing and Applied Sciences, Riphah International University Lahore, Lahore 54000, PakistanDepartment of Mathematics, Faculty of Ocean Engineering Technology and Informatics, University of Malaysia Terengganu, Kuala Nerus 2103, MalaysiaThe theory developed in this article is based on graphs of cubic intuitionistic fuzzy sets (CIFS) called cubic intuitionistic fuzzy graphs (CIFGs). This graph generalizes the structures of fuzzy graph (FG), intuitionistic fuzzy graph (IFG), and interval-valued fuzzy graph (IVFG). Moreover, several associated concepts are established for CIFG, such as the idea subgraphs, degree of CIFG, order of CIFG, complement of CIFG, path in CIFG, strong CIFG, and the concept of bridges for CIFGs. Furthermore, the generalization of CIFG is proved with the help of some remarks. In addition, the comparison among the existing and the proposed ideas is carried out. Finally, an application of CIFG in decision-making problem is studied, and some future study is proposed.http://dx.doi.org/10.1155/2021/9994977 |
| spellingShingle | Sami Ullah Khan Naeem Jan Kifayat Ullah Lazim Abdullah Graphical Structures of Cubic Intuitionistic Fuzzy Information Journal of Mathematics |
| title | Graphical Structures of Cubic Intuitionistic Fuzzy Information |
| title_full | Graphical Structures of Cubic Intuitionistic Fuzzy Information |
| title_fullStr | Graphical Structures of Cubic Intuitionistic Fuzzy Information |
| title_full_unstemmed | Graphical Structures of Cubic Intuitionistic Fuzzy Information |
| title_short | Graphical Structures of Cubic Intuitionistic Fuzzy Information |
| title_sort | graphical structures of cubic intuitionistic fuzzy information |
| url | http://dx.doi.org/10.1155/2021/9994977 |
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