Evidential risk analysis based on the fuzzy belief TOPSIS

Risk analysis and assessment is essentially a synthesis and amalgamation of the empirical and normative, the quantitative and qualitative, and the objective and subjective effort. In order to deal with quantitative and qualitative data, empirical and subjective knowledge, and incomplete, ignorant, fuzzy, vague information in risk analysis and assessment, a novel risk analysis method is proposed in this paper, which refers to evidential risk analysis. The proposed method represents risk by the fuzzy belief structure, aggregates the multiple decision maker opinions using the evidential reasoning approach, and makes risk decision support using belief TOPSIS. The evidential risk analysis process and algorithm is illuminated step by step. Finally, a case study of bridge risk assessment is explored to show validity and applicability of the proposed method.