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Advances in Fuzzy Sets and Systems

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.

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