Cubic Pythagorean Fuzzy Graphs
The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/1144666 |
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| _version_ | 1850175757391757312 |
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| author | G. Muhiuddin Saira Hameed Afeefa Maryam Uzma Ahmad |
| author_facet | G. Muhiuddin Saira Hameed Afeefa Maryam Uzma Ahmad |
| author_sort | G. Muhiuddin |
| collection | DOAJ |
| description | The purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and demonstrate some of their key characteristics. Meanwhile, to investigate the preference of decision makers, cubic Pythagorean fuzzy preference relation is defined. Moreover, through a practical example, the applicability of our proposed work in multicriteria decision-making is described, and to clarify the organization of the proposed method, a frame diagram is presented. |
| format | Article |
| id | doaj-art-c15bbbef09754c6badfabbe227497c47 |
| institution | OA Journals |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-c15bbbef09754c6badfabbe227497c472025-08-20T02:19:23ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/1144666Cubic Pythagorean Fuzzy GraphsG. Muhiuddin0Saira Hameed1Afeefa Maryam2Uzma Ahmad3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsThe purpose of the study is to explore graph theory based on cubic Pythagorean fuzzy sets. The concept of cubic Pythagorean fuzzy graphs (CuPFGs) is introduced in this research work. In addition, we define certain fundamental operations on CuPFGs including semistrong product, lexicographical product, and symmetric difference of two CuPFGs and demonstrate some of their key characteristics. Meanwhile, to investigate the preference of decision makers, cubic Pythagorean fuzzy preference relation is defined. Moreover, through a practical example, the applicability of our proposed work in multicriteria decision-making is described, and to clarify the organization of the proposed method, a frame diagram is presented.http://dx.doi.org/10.1155/2022/1144666 |
| spellingShingle | G. Muhiuddin Saira Hameed Afeefa Maryam Uzma Ahmad Cubic Pythagorean Fuzzy Graphs Journal of Mathematics |
| title | Cubic Pythagorean Fuzzy Graphs |
| title_full | Cubic Pythagorean Fuzzy Graphs |
| title_fullStr | Cubic Pythagorean Fuzzy Graphs |
| title_full_unstemmed | Cubic Pythagorean Fuzzy Graphs |
| title_short | Cubic Pythagorean Fuzzy Graphs |
| title_sort | cubic pythagorean fuzzy graphs |
| url | http://dx.doi.org/10.1155/2022/1144666 |
| work_keys_str_mv | AT gmuhiuddin cubicpythagoreanfuzzygraphs AT sairahameed cubicpythagoreanfuzzygraphs AT afeefamaryam cubicpythagoreanfuzzygraphs AT uzmaahmad cubicpythagoreanfuzzygraphs |