Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers. (27th October 2021)

• Record Type: Journal Article
• Authors: Khan, Naveed; Yaqoob, Naveed; Shams, Mudassir; Gaba, Yaé Ulrich; Riaz, Muhammad
• Other Names: Malik Sarfraz Nawaz Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-27
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/8475863
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : 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.