The invention discloses a device and a method for carrying out low-concentration SO2 flue gas desulfurization by utilizing a fuzzy alkali-feeding method. The device comprises a desulfurization tower, a main alkali-feeding valve, a fuzzy alkali-feeding valve, a reflowing valve, a liquid discharging valve, a water feeding valve, a primary circulating system pH (Potential of Hydrogen) detector, a secondary circulating system pH detector, a liquid level detector, a flue gas outlet SO2 concentration analyzer, a DCS (Distributed Control System) switching system, a signal isolator and an intelligent fuzzy controller. The point is that alkali-feeding desulfurization is carried out through logic control by utilizing the intelligent fuzzy controller; different alkali-feeding manners can be realized by alkali-feeding controlling through the DCS switching system according to different working conditions; the alkali-feeding controlling is more accurate, and the desulfurization effect is remarkable; meanwhile, consumed alkali in a tail gas control process is saved; a technological process is simple, and the operation is reliable; when normal production is performed, whole-time standard reaching of tail gas exhausting can be effectively ensured. Meanwhile, the labor intensity of maintenance personnel is reduced, and operating personnel conveniently control the device; a condition that tail gas emission exceeds standards, caused by the fact that the operating personnel are careless and the control is not in time, is eliminated.