模糊算子方程的解

Solutions to Fuzzy Operator Equations

一些实际问题的数学模型可以是集值算子方程 ,而在不确定环境下 ,这类算子方程中将可能出现不确定变量 ,例如 ,可能出现模糊变量。该文将讨论一类模糊算子方程解的存在性 ,并给出一个算法逼近方程的解。这里研究的算子方程是定义在模糊集上 。

Some mathematical models for practical problems are setvalued operator equations. In uncertain cases, there are uncertainty variables in equations while fuzzy case is important aspect of study. The existence of solution to a class of fuzzy operator equations is investigated and an algorithm is given. The fuzzy operators are defined in fuzzy sets.Their membership functions are established by fuzzy variables.