Perturbation Analysis of the Fully Fuzzy Linear Systems

Abstract

The main aim of this paper is to investigate perturbation analysis of the fully fuzzy linear systems (shown as FFLS) where and are respectively a fuzzy matrix and a fuzzy vector. For showing how the perturbation of the right hand vector impact the fuzzy approximate solution vector to FFLS. We first transform the original fully fuzzy linear systems into three crisp linear systems by the Dehghan’s method. Next, the situation that the right hand side is slightly perturbed while the coefficient matrix remains unchanged is discussed; Finally, the relative error bounds of perturbed fully fuzzy linear systems are obtained in terms of the distance of LR-type triangular fuzzy vector.