q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking
The theory of q-rung orthopair fuzzy sets (q-ROFSs) is emerging for the provision of more comprehensive and useful information in comparison to their counterparts like intuitionistic and Pythagorean fuzzy sets, especially when responding to the models of vague data with membership and non-membership...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2021/8261118 |
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| author | Muhammad Asif Doha A. Kattan Dragan Pamučar Ghous Ali |
| author_facet | Muhammad Asif Doha A. Kattan Dragan Pamučar Ghous Ali |
| author_sort | Muhammad Asif |
| collection | DOAJ |
| description | The theory of q-rung orthopair fuzzy sets (q-ROFSs) is emerging for the provision of more comprehensive and useful information in comparison to their counterparts like intuitionistic and Pythagorean fuzzy sets, especially when responding to the models of vague data with membership and non-membership grades of elements. In this study, a significant generalized model q-ROFS is used to introduce the concept of q-rung orthopair fuzzy vector spaces (q-ROFVSs) and illustrated by an example. We further elaborate the q-rung orthopair fuzzy linearly independent vectors. The study also involves the results regarding q-rung orthopair fuzzy basis and dimensions of q-ROFVSs. The main focus of this study is to define the concepts of q-rung orthopair fuzzy matroids (q-ROFMs) and apply them to explore the characteristics of their basis, dimensions, and rank function. Ultimately, to show the significance of our proposed work, we combine these ideas and offer an application. We provide an algorithm to solve the numerical problems related to human flow between particular regions to ensure the increased government response action against frequently used path (heavy path) for the countries involved via directed q-rung orthopair fuzzy graph (q-ROFG). At last, a comparative study of the proposed work with the existing theory of Pythagorean fuzzy matroids is also presented. |
| format | Article |
| id | doaj-art-6c19f7b33de94159be1a050991943483 |
| institution | Kabale University |
| issn | 1607-887X |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-6c19f7b33de94159be1a0509919434832025-02-03T05:47:00ZengWileyDiscrete Dynamics in Nature and Society1607-887X2021-01-01202110.1155/2021/8261118q-Rung Orthopair Fuzzy Matroids with Application to Human TraffickingMuhammad Asif0Doha A. Kattan1Dragan Pamučar2Ghous Ali3School of Mathematical SciencesDepartment of MathematicsDepartment of LogisticsDepartment of MathematicsThe theory of q-rung orthopair fuzzy sets (q-ROFSs) is emerging for the provision of more comprehensive and useful information in comparison to their counterparts like intuitionistic and Pythagorean fuzzy sets, especially when responding to the models of vague data with membership and non-membership grades of elements. In this study, a significant generalized model q-ROFS is used to introduce the concept of q-rung orthopair fuzzy vector spaces (q-ROFVSs) and illustrated by an example. We further elaborate the q-rung orthopair fuzzy linearly independent vectors. The study also involves the results regarding q-rung orthopair fuzzy basis and dimensions of q-ROFVSs. The main focus of this study is to define the concepts of q-rung orthopair fuzzy matroids (q-ROFMs) and apply them to explore the characteristics of their basis, dimensions, and rank function. Ultimately, to show the significance of our proposed work, we combine these ideas and offer an application. We provide an algorithm to solve the numerical problems related to human flow between particular regions to ensure the increased government response action against frequently used path (heavy path) for the countries involved via directed q-rung orthopair fuzzy graph (q-ROFG). At last, a comparative study of the proposed work with the existing theory of Pythagorean fuzzy matroids is also presented.http://dx.doi.org/10.1155/2021/8261118 |
| spellingShingle | Muhammad Asif Doha A. Kattan Dragan Pamučar Ghous Ali q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking Discrete Dynamics in Nature and Society |
| title | q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking |
| title_full | q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking |
| title_fullStr | q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking |
| title_full_unstemmed | q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking |
| title_short | q-Rung Orthopair Fuzzy Matroids with Application to Human Trafficking |
| title_sort | q rung orthopair fuzzy matroids with application to human trafficking |
| url | http://dx.doi.org/10.1155/2021/8261118 |
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