In this paper, we focus on generalized fuzzy complex numbers and provide several examples of membership functions and graphical representations of these numbers. Then, a specific type of fuzzy complex linear systems, called the rectangular fuzzy complex linear system, is considered and its algebraic and general solutions are defined. Finally an approach based on restricting the general solution is presented to solve a rectangular fuzzy complex linear system. It is illustrated that the proposed method gives a unique algebraic solution to a rectangular fuzzy complex linear system if it exists. To show the ability and efficiency of the method and for more illustration, three numerical examples including a real application in electrical engineering are modeled and solved.

在本文中，我们专注于广义模糊复数，并提供了隶属函数和这些数字的图形表示的几个示例。然后，考虑一种特殊类型的模糊复线性系统，即矩形模糊复线性系统，并定义其代数和一般解。最后提出了一种基于约束一般解的方法来求解矩形模糊复线性系统。结果表明，该方法为矩形模糊复线性系统提供了唯一的代数解。为了显示该方法的能力和效率并进行更多说明，对三个数值示例（包括在电气工程中的实际应用）进行了建模和求解。