Failure mode and effects analysis using D numbers and grey relational projection method

Liu, Hu‐Chen; You, Jing; Fan, Xiaoya; Lin, Qinglian

doi:10.1016/j.eswa.2014.01.031

Cited by 206 publications

(125 citation statements)

References 40 publications

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“…Dempster's combination rule which has some interesting mathematical properties, such as associativity and commutativity, plays an important role in evidence theory [4]. Now the evidence theory is utilized widely in many fields, such as decision making [4][5][6], supplier selection [7,8], reliability analysis [9][10][11], and optimization under uncertain environment [12][13][14]. Due to the complexity in fault diagnosis [15,16], sensor data fusion based on evidence theory in these fields is also heavily studied [17,18].…”

Section: Introductionmentioning

confidence: 99%

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

Wang

Xiao

Deng

et al. 2016

International Journal of Distributed Sensor Networks

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Conflict management in Dempster-Shafer theory (D-S theory) is a hot topic in information fusion. In this paper, a new weighted evidence combination on the basis of the distance between evidence and entropy function is presented. The proposed approach is identified as two procedures. First, the weight is determined based on the distance of evidence. Then, the obtained weight value in the first step is modified by making advantage of Deng entropy function. Our proposed method can efficiently cope with high conflicting evidences with better performance of convergence. A numerical example is provided to demonstrate that the proposed method is reasonable and efficient in the end.

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Section: Introductionmentioning

confidence: 99%

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

Wang

Xiao

Deng

et al. 2016

International Journal of Distributed Sensor Networks

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“…Therefore, one key issue of FMEA is the representation and handling of various types of uncertainties in evaluating failure modes with respect to the risk factors. Liu et al 26 proposed a new risk priority model, which is based on a more effective representation of uncertain information, called D numbers, and an improved gray relational analysis method, gray relational projection (GRP). In the proposed model, the assessment results of risk factors given by FMEA expert group are expressed and modeled by D numbers.…”

Section: Introductionmentioning

confidence: 99%

“…Besides, FMEA is a group decision behavior and cannot be performed on an individual basis. 9,26 Considering their different expertise and backgrounds, various uncertainties are present in FMEA expert group's subjective and qualitative assessments, such as imprecision, fuzziness, incompleteness, and conflict. Therefore, one key issue of FMEA is the representation and handling of various types of uncertainties in evaluating failure modes with respect to the risk factors.…”

Section: Introductionmentioning

confidence: 99%

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

Jiang

Xie

Wei

et al. 2016

Advances in Mechanical Engineering

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Failure mode and effects analysis is an important methodology, which has been extensively used to evaluate the potential failures, errors, or risks in a system, design, or process. The traditional method utilizes the risk priority number ranking system. This method determines the risk priority number by multiplying failure factor values. Dempster-Shafer evidence theory has been combined with failure mode and effects analysis due to its effectiveness in dealing with uncertain and subjective information. However, since the risk evaluation of different experts may be different and some even conflict with each other, Dempster's combination rule may become invalid. In this article, for better performance of application of evidence theory in failure mode and effects analysis, a modified method is proposed to reassign the basic believe assignment taking into consideration a reliability coefficient based on evidence distance. We illustrate several numerical examples and use the modified method to obtain the risk priority numbers for risk evaluation in failure modes of aircraft engine rotor blades. The results show that the proposed method is more reasonable and effective for real applications. KeywordsDempster-Shafer evidence theory, failure mode and effects analysis, risk priority number, basic believe assignments, reliability coefficient, aircraft turbine rotor blades Date

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“…In recent years, papers related to D numbers based MCDM methods have begun to appear, viz. D numbers based vlse kriterijumska optimizacija i kompromisno resenje (D-VIKOR) [37], D number based grey relational projection (D-GRP) [38], D numbers based analytic hierarchy process (D-AHP) [39,40], D numbers based technique for order of preference by similarity to ideal solution (D-TOPSIS) [41], and D numbers based decision-making trial and evaluation laboratory (D-DEMATEL) [42].…”

Section: Introductionmentioning

confidence: 99%

A Hybrid MCDM Technique for Risk Management in Construction Projects

et al. 2018

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Multi-stakeholder based construction projects are subject to potential risk factors due to dynamic business environment and stakeholders' lack of knowledge. When solving project management tasks, it is necessary to quantify the main risk indicators of the projects. Managing these requires suitable risk mitigation strategies to evaluate and analyse their severity. The existence of information asymmetry also causes difficulties with achieving Pareto efficiency. Hence, to ensure balanced satisfaction of all participants, risk evaluation of these projects can be considered as an important part of the multi-criteria decision-making (MCDM) process. In real-life problems, evaluation of project risks is often uncertain and even incomplete, and the prevailing methodologies fail to handle such situations. To address the problem, this paper extends the analytical network process (ANP) methodology in the D numbers domain to handle three types of ambiguous information's, viz. complete, uncertain, and incomplete, and assesses the weight of risk criteria. The D numbers based approach overcomes the deficiencies of the exclusiveness hypothesis and completeness constraint of Dempster-Shafer (D-S) theory. Here, preference ratings of the decision matrix for each decision-maker are determined using a D numbers extended consistent fuzzy preference relation (D-CFPR). An extended multi-attributive border approximation area comparison (MABAC) method in D numbers is then developed to rank and select the best alternative risk response strategy. Finally, an illustrative example from construction sector is presented to check the feasibility of the proposed approach. For checking the reliability of alternative ranking, a comparative analysis is performed with different MCDM approaches in D numbers domain. Based on different criteria weights, a sensitivity analysis of obtained ranking of the hybrid D-ANP-MABAC model is performed to verify the robustness of the proposed method.

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Failure mode and effects analysis using D numbers and grey relational projection method

Cited by 206 publications

References 40 publications

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

Weighted Evidence Combination Based on Distance of Evidence and Entropy Function

A modified method for risk evaluation in failure modes and effects analysis of aircraft turbine rotor blades

A Hybrid MCDM Technique for Risk Management in Construction Projects

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