Pythagorean Fuzzy Matroids with Application
The Pythagorean fuzzy models deal with graphical and algebraic structures in case of vague information related to membership and non-membership grades. Here, we use Pythagorean fuzzy sets to generalize the concept of vector spaces and discuss their basis and dimensions. We also highlight the concept...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-03-01
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| Series: | Symmetry |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2073-8994/12/3/423 |
| _version_ | 1798002844511502336 |
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| author | Muhammad Asif Muhammad Akram Ghous Ali |
| author_facet | Muhammad Asif Muhammad Akram Ghous Ali |
| author_sort | Muhammad Asif |
| collection | DOAJ |
| description | The Pythagorean fuzzy models deal with graphical and algebraic structures in case of vague information related to membership and non-membership grades. Here, we use Pythagorean fuzzy sets to generalize the concept of vector spaces and discuss their basis and dimensions. We also highlight the concept of Pythagorean fuzzy matroids and examine some of their fundamental characteristics like circuits, basis, dimensions, and rank functions. Additionally, we explore the concept of Pythagorean fuzzy matroids in linear algebra, graph theory, and combinatorics. Finally, we demonstrate the use of Pythagorean fuzzy matroids for minimizing the time taken by a salesman in delivering given products. |
| first_indexed | 2024-04-11T11:58:41Z |
| format | Article |
| id | doaj.art-9514f9fec3e94c37b194ebd2bf2c64a6 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T11:58:41Z |
| publishDate | 2020-03-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-9514f9fec3e94c37b194ebd2bf2c64a62022-12-22T04:25:00ZengMDPI AGSymmetry2073-89942020-03-0112342310.3390/sym12030423sym12030423Pythagorean Fuzzy Matroids with ApplicationMuhammad Asif0Muhammad Akram1Ghous Ali2School of Mathematical Sciences, Xiamen University, Xiamen 361005, ChinaDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanThe Pythagorean fuzzy models deal with graphical and algebraic structures in case of vague information related to membership and non-membership grades. Here, we use Pythagorean fuzzy sets to generalize the concept of vector spaces and discuss their basis and dimensions. We also highlight the concept of Pythagorean fuzzy matroids and examine some of their fundamental characteristics like circuits, basis, dimensions, and rank functions. Additionally, we explore the concept of Pythagorean fuzzy matroids in linear algebra, graph theory, and combinatorics. Finally, we demonstrate the use of Pythagorean fuzzy matroids for minimizing the time taken by a salesman in delivering given products.https://www.mdpi.com/2073-8994/12/3/423pythagorean fuzzy vector spacepythagorean fuzzy matroidpythagorean fuzzy basespythagorean fuzzy rank functionpythagorean fuzzy cycle matroid |
| spellingShingle | Muhammad Asif Muhammad Akram Ghous Ali Pythagorean Fuzzy Matroids with Application Symmetry pythagorean fuzzy vector space pythagorean fuzzy matroid pythagorean fuzzy bases pythagorean fuzzy rank function pythagorean fuzzy cycle matroid |
| title | Pythagorean Fuzzy Matroids with Application |
| title_full | Pythagorean Fuzzy Matroids with Application |
| title_fullStr | Pythagorean Fuzzy Matroids with Application |
| title_full_unstemmed | Pythagorean Fuzzy Matroids with Application |
| title_short | Pythagorean Fuzzy Matroids with Application |
| title_sort | pythagorean fuzzy matroids with application |
| topic | pythagorean fuzzy vector space pythagorean fuzzy matroid pythagorean fuzzy bases pythagorean fuzzy rank function pythagorean fuzzy cycle matroid |
| url | https://www.mdpi.com/2073-8994/12/3/423 |
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