This paper present a novel approach using symmetric fuzzy numbers to deal with uncertainty in power system analysis. Special attention is put on reducing overestimation due to conservatism inherent in fuzzy arithmetic. The midpoint-radius interval representation and a linear programming optimization problem are used in order to enhance efficiency and accuracy, respectively. The proposed method is tested over the IEEE 14-bus test system and compared with other techniques available in the literature. The case study that the proposed method yields accurate results at a reduced computational cost.