An Integrated Interval Type-2 Fuzzy Sets And Multiplicative Half Quadratic Programming-Based Mcdm Framework For Calculating Aggregated Risk Ranking Results Of Failure Modes In Fmeca

Failure modes, effects and criticality analysis (FMECA) is a popular methodology among the safety, reliability, and risk engineers, which can identify the potential failure modes of a system, process, or design, evaluate their cause(s), and rank them according to their criticality. The traditional risk priority number (RPN)-based risk ranking approach has multiple limitations, and researchers have been employing multi-criteria decision making (MCDM) methods to address those drawbacks. In this work, a novel integrated framework is proposed with threefold contributions. Firstly, to minimize the associated linguistic uncertainties during the evaluations of failure modes with respect to the risk factors, the concept of interval type-2 fuzzy sets (IT2FSs) is used. Secondly, to portray the causal dependencies among the risk factors and to compute their weights, an extended IT2F-DEMATEL (Decision Making Trial and Evaluation Laboratory) method is proposed for the group decision-making scenario. Thirdly, the risk ranking results of failure modes are calculated by proposing the concepts of IT2F-MAIRCA (Multi-Attributive Ideal Real Comparative Analysis), IT2F-MARCOS (Measurement of Alternatives and Ranking according to COmpromise Solution) methods, and modified IT2F-TOPSIS (Technique for Order of Preference by Similarity to Ideal Solution) methods. Further, after observing that each of the proposed method calculates different ranking results of failure modes, the concept of half-quadratic (HQ) minimization is used to calculate the aggregated ranking results along with the consensus index and trust level. The potential of the integrated framework is highlighted by considering a benchmark FMECA example of a process plant gearbox. Finally, sensitivity analyses are carried out to observe the robustness of the proposed framework, and each of the developed method.(c) 2021 Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.