The linear system , where the elements of the matrix and the elements of the vector are represented with interval values, is called an interval linear system. Similarly, the linear system , where the elements of the matrix and the elements of the vector are fuzzy numbers, is called a fuzzy linear system. Interval linear systems can be considered as a special case of fuzzy linear systems.
In this paper, the link between interval linear systems and fuzzy linear systems is illustrated. Also, a generalization of the vector solution obtained by J. J. Buckley and Y. Qu [Fuzzy Sets Syst. 43, 33–43 (1991; Zbl 0741.65023)] to the most general fuzzy system , with and square matrices of fuzzy coefficients and and fuzzy number vectors, is proposed. The conditions under which the system has a vector solution are given and it is shown that the linear systems and , with and , have the same vector solutions. Finally, a simple algorithm, which is reduced to an interval analysis technique, to solve the system , with and matrices with fuzzy elements, is introduced.