Grey Number Based Methodology for Non-homogeneous Preference Elicitation in Fuzzy Risk Analysis Management

Abstract

Risk analysis plays a crucial role in mitigating the levels of harm of a risk. In real world scenarios, it is a big challenge for risk analysts to make a proper and comprehensive decision when coping with the risks. Many practical risk analysis problems do not have flexibility with regards to knowledge elicitation and disagreements in the group. This is due to the non-homogeneous nature of risk analysts’ preferences that lead to inconsistent agreements in the process of group decision making. In this chapter, a novel non-homogeneous preference elicitation based on grey numbers for risk analysis problem is proposed. Grey numbers allow more flexibility for non-homogeneous preference elicitation in uncertain, vague and fuzzy environment. This work also introduces a novel theoretical non-homogeneous consensus reaching methodology that resolves disagreement between risk analysts. A case study on risk analysis decision making is also presented to demonstrate the novelty, validity and feasibility of the proposed methodology.