The paper presents a multidimensional horizontal approach to solving the fuzzy Sylvester matrix equation (FSME). The use of the horizontal membership function (HMF) of the fuzzy set allows for generating a granule of information about the FSME solution. The paper presents an algorithm for solving FSME using HMF, which generates a full FSME solution. The solution obtained using the given algorithm differs from the results presented in the cited articles. The calculated granule of the FSME solution contains solutions that do not occur in the results obtained in the analyzed examples, therefore these results are underestimated.