Solving Fully Fuzzy Systems by Fuzzy Structured Element Method

摘要

Using fuzzy structured element method we investigate a fully fuzzy linear system whose coefficient matrix is a fuzzy matrix and right-hand side column is an arbitrary fuzzy vector. According to homeomorphic property between the bounded fuzzy number and the standard monotonic function family with same monotonic form on [-1,1], replace the fully fuzzy linear system by a parametric linear system. Based on the constraint arithmetic operation of fuzzy numbers, the exact fuzzy solutions are obtained by an elimination method. The applicability and superiority of this method are illustrated by two examples.