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.

翻译：本文使用优化方法对模糊的非线性系统方程式进行调查。 在此, 内部外直接搜索技术使用模糊系数和矢量来量化不确定的解决方案。 模糊的非线性方程式系统被转换成一个不受限制的模糊多变优化问题, 以保持操作限制。 然后应用开发出模糊的内外直接搜索。 发达的算法通过实例问题来证明。 所获取的不确定的解决方案被描绘出来, 并与特例比较。 当成员值为统一时, 结果是一致的 。