Solving Symmetric Fully Fuzzy Linear Systems With Trapezoidal Fuzzy Number Matrices.

N. JayanthKarthik1, E. Chandrasekaran2, R. Sattanathan3
1Department of Mathematics, D.G. Vaishnav College, Chennai, India.
2Department of Mathematics, Presidency College,Chennai, India.
3Posthumous, Department of Mathematics, D.G. Vaishnav College, Chennai, India.

Abstract

In this paper, an \( n \times n \) fully fuzzy linear system is solved by decomposing the positive definite symmetric coefficient matrix using trapezoidal fuzzy number matrices through Cholesky and LDLT decomposition methods. The effectiveness of these methods is illustrated with a numerical example.