The hybrid Analytic Hierarchy Process-Fuzzy Data Envelopment Analysis is commonly used in solving Multiple Criteria Decision Making problems to cater for the uncertainty and subjectivity of human judgments. However, the use of Znumber in hybrid techniques is a new research area. Hence, the study on the impact and feasibility of Z-number extension has not been fully investigated. The main objective of this paper is to present an extension of Analytic Hierarchy Process-Fuzzy Data Envelopment Analysis method using Z-number. Two different multiplication relation operations were used to convert fuzzy numbers into Z-numbers by integrating the reliability component R into the restriction component à . The next step is to integrate the criteria weights into Z-Data Envelopment Analysis process. A numerical example is given to illustrate the application of the proposed Analytic Hierarchy Process-Z-Number DataEnvelopment Analysis methodology in ranking the risk priority of 20 bridge structures. The results showed that it is highly feasible to use the proposed hybrid Analytic Hierarchy Process-Fuzzy Data Envelopment Analysis in risk ranking. This information is very useful for improving characteristics of the alternatives understudied.

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