Enterprise Architecture (EA) as a discipline that manages large amount of models and information about different aspects of the enterprise can support decision making on enterprise-wide issues. In order to provide such support, EA information should be amenable to analysis of various utilities and quality attributes. In this regard, this paper provides an approach based on Fuzzy Analytical Hierarchy Process (AHP) towards EA analysis. It proposes an extended quantitative method of assessing quality attribute achievement of different scenarios using AHP and Fuzzy AHP based on the knowledge and experience of EA experts and domain experts. Due to the uncertainty in the judgments of participants, the crisp pair-wise comparison in the conventional AHP is insufficient and imprecise to capture the right judgments. Therefore, a fuzzy logic is introduced in the pair-wise comparison of AHP in one of steps of the method. The applicability of the proposed approach is demonstrated using a practical case study.