Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers | Zendy

Naveed Jeelani Khan | Zendy; Naveed Yaqoob | Zendy; Mudassir Shams | Zendy; Yaé Ulrich Gaba | Zendy; Muhammad Riaz | Zendy

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Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers

Author(s) -

Naveed Jeelani Khan,

Naveed Yaqoob,

Mudassir Shams,

Yaé Ulrich Gaba,

Muhammad Riaz

Publication year - 2021

Publication title -

journal of function spaces

Language(s) - English

Resource type - Journals

eISSN - 2314-8896

pISSN - 2314-8888

DOI - 10.1155/2021/8475863

Subject(s) - diophantine equation , mathematics , diophantine set , quadratic equation , fuzzy logic , diophantine geometry , discrete mathematics , computer science , geometry , artificial intelligence

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 · X 2 + 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.

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