Technological change and development of advanced technologies are considered to be one of the basic requirements for the survival of organizations. This research aims to identify and rank technological capabilities in Shiraz Petrochemical Company using a hybrid model. The research method is descriptive-analytical and the statistical population includes managers and supervisors of this company. In this study, by reviewing the research literature, four main criteria and 20 sub-criteria were identified. Then, using confirmatory factor analysis, the data were examined and for the final analysis, a combined approach of fuzzy DEMETEL and fuzzy network analysis was used. The results of the ranking of the main criteria showed that "technology exploitation ability" with a weight of 0. 279 is in the first rank and "technology identification and selection ability" with a normal weight of 0. 223 is in the fourth rank. In addition, the final results of the sub-criteria ranking indicated that "Production Planning, Supervision, and Coordination", "Human Resources", and "Conducting Research and Development" ranked first to third. Therefore, it is essential that necessary and vital measures be taken in this area,including identifying and monitoring new technologies, gaining comprehensive knowledge of all issues related to the field of technology, making appropriate decisions in selecting technology, determining its path of progress, and evaluating and selecting the best possible technological solution. This research can be used as a practical example for analyzing and strengthening the technological capabilities of organizations.