Fully Fuzzy Linear Systems Solving Using MOLP

As can be seen from the definition of extended operations on fuzzy numbers, subtraction and division of fuzzy numbers are not the inverse operations to addition and multiplication, respectively. Hence for solving equations or system of equations, we must use methods without using inverse operators. In this paper, we propose a novel method to find the nonzero solutions of fully fuzzy linear systems (shown as FFLS). We suppose that all elements of matrix of coefficients are positive. We employ embedding method to transform n×n(FFLS) to 2n×2n parametric form linear system. We decompose solutions to non negatives and non positives using solutions of one MOLP in the initial step of this method. Finally, numerical examples are used to illustrate this approach.