Solution of the fully fuzzy linear systems using the decomposition procedure

Abstract

This paper tries to extend the Adomian decomposition method for solving fully fuzzy linear systems (shown as FFLS). For finding a positive fuzzy vector x ˜ that satisfies A ∼ x ˜ = b ˜ , where A ∼ and b ˜ are respectively a fuzzy matrix and a fuzzy vector, we employ Dubois and Prade’s approximate arithmetic operators on LR fuzzy numbers. We also transform the FFLS and use the Adomian decomposition method for solving an FFLS. Then, we compare this method with the Jacobi iterative technique. Additionally, we give some numerical examples.