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 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.