Abstract: Fuzzy systems have an essential role in the fuzzy
modeling, which can formulate uncertainty in actual environment. One of the most
practicable subjects in recent studies is based on triangular fuzzy numbers,
which are defined and used by Dubois and Prade with some useful and easy
approximation arithmetic operators on them. We apply Greville’s method to find
some positive fuzzy vector which
satisfies where and are fuzzy
matrix and vector, respectively. We also state some existence conditions for a
positive solution. Finally, we solve some fully fuzzy linear system of
equations.
Keywords and phrases: fuzzy arithmetic, fully fuzzy linear system, fuzzy numbers, fuzzy solution, g-inverse, Greville’s method.
