Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/8475863 |
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| author | Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz |
| author_facet | Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz |
| author_sort | Naveed Khan |
| collection | DOAJ |
| description | This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear and quadratic equations of the types A+X=B,A·X+B=C, and A·X2+B·X+C=D where the elements A,B,C, and D are TLDFNs. We provide a procedure for the solution of these equations using s,t,u,v-cut and also provide the examples. |
| format | Article |
| id | doaj-art-5de105ac5f354373b807de85b05b68db |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-5de105ac5f354373b807de85b05b68db2025-02-03T06:06:32ZengWileyJournal of Function Spaces2314-88882021-01-01202110.1155/2021/8475863Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy NumbersNaveed Khan0Naveed Yaqoob1Mudassir Shams2Yaé Ulrich Gaba3Muhammad Riaz4Department of Mathematics and StatisticsDepartment of Mathematics and StatisticsDepartment of Mathematics and StatisticsQuantum Leap Africa (QLA)Department of MathematicsThis paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear and quadratic equations of the types A+X=B,A·X+B=C, and A·X2+B·X+C=D where the elements A,B,C, and D are TLDFNs. We provide a procedure for the solution of these equations using s,t,u,v-cut and also provide the examples.http://dx.doi.org/10.1155/2021/8475863 |
| spellingShingle | Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers Journal of Function Spaces |
| title | Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers |
| title_full | Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers |
| title_fullStr | Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers |
| title_full_unstemmed | Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers |
| title_short | Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers |
| title_sort | solution of linear and quadratic equations based on triangular linear diophantine fuzzy numbers |
| url | http://dx.doi.org/10.1155/2021/8475863 |
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