Extension of Moore-Penrose Pseudoinverse to Solve Nonsquare Fuzzy System of Linear Equations

In this work, a solution for the fuzzy system of linear equations has been assessed. Here, the coefficients matrix is nonsquare with elements of crisp numbers such that the known and unknown vectors are fuzzy vectors. First, the singular value decomposition and the generalized inverse of the nonsquare matrices have been illustrated. Then, these concepts have been extended to nd the solutions of the nonsquare fuzzy system of linear equations.