The paper describes a multidimensional approach to solving a fuzzy complex linear system (FCLS). Together with the definition of arithmetic operations on complex fuzzy numbers with a horizontal granular membership function, the properties of these basic arithmetic operations are given and proven. Using the horizontal membership function of the fuzzy number and its counterpart in the complex number space, a multidimensional full granule of solution of FCLS was obtained. There are many methods in the scientific literature that generate results that are not full solutions of FCLS. The examples presented show that the use of the horizontal approach generates a full solution and indicate differences with the results obtained from other methods cited in the article. Furthermore, with granular approach the solution of the full FCLS was calculated.