This present work analysis mainly focuses on fuzzy matrices and itsapplications. Furthermore various algorithm have been developed to solve fuzzy matrices. Chapter I is the introduction, which provides the importance of fuzzy matrices.In addition certain fundamental concepts and definitions based on Fuzzy sets, Fuzzy matrices, Fuzzy numbers and triangular fuzzy numbers are discussed.Chapter II discusses about the performance of the candidates of TNPSC exam with the help of fuzzy matrix by using RTD, ATD and CETD matrix.Chapter III examine the quality of milk with the help of fuzzy matrix by using RTD, ATD and CETD matrix.Chapter IV focuses production of solar energy with the help of fuzzy matrix by using RTD, ATD and CETD matrix.