  This paper investigates fuzzy nonlinear system equations using an
optimization approach. Here, the inner-outer direct search technique is used
with fuzzy coefficients and vectors to quantify the uncertain solution. The
fuzzy nonlinear system of equations is converted into an unconstrained fuzzy
multivariable optimization problem with preserving the operating constraints.
Then developed fuzzy inner-outer direct search is applied. The developed
algorithm is demonstrated through an example problem. The obtained uncertain
solutions are depicted and compared with the special case. The results are
found to be in good agreement when the membership values are unity.
