Because of its mature technology, lime gypsum flue gas desulfurization has been widely used in coal-fired power plants, iron and steel metallurgy and other industries. The technology has the characteristics of high removal efficiency and easy to buy absorbent. However, there are many fuzzy uncertainties in the daily operation of desulfurization system. In order to make a better comprehensive evaluation of the system operation stability, the influencing factors were analyzed through three steps, and the final conclusion was obtained. First of all, according to the technical characteristics and operation status of the project, the investigation was carried out from six aspects of process, equipment, electrical, instrument automation, public and auxiliary and operation and maintenance, and various factors and constraints leading to the instability of the system operation were found. Secondly, the cause and effect fuzzy analytic hierarchy process was used to analyze the reasons leading to the instability of lime gypsum desulfurization system, and the fuzzy evaluation model of system operation was established. The weight calculation and fuzzy comprehensive evaluation of various influencing factors were carried out, and the weight order, comprehensive score and evaluation grade were obtained. Thirdly, combined with the case of sintering machine flue gas desulfurization, the influencing factors of project operation instability were divided into 6 categories and 24 sub items, and the evaluation level was divided into very stable, relatively stable, basically stable, less stable and unstable. Finally, through the case analysis, evaluation and comparison with the on-site detection, the following three conclusions were obtained. ①The weight order of each influencing factor was obtained as follows: electrical failure, instrument automation inaccuracy, abnormal process index, equipment failure, public and auxiliary supply instability, daily operation and maintenance management. ②The comprehensive score of the case project was 77.75, and the evaluation level was determined as level 3-basically stable. ③After comparing the comprehensive evaluation results of causal fuzzy analytic hierarchy process with the field monitoring results, it was determined that the two results were consistent, which showed that the method had good applicability for the stability evaluation of lime gypsum desulfurization system.