New Failure Mode and Effects Analysis based on D Numbers Downscaling Method
Keywords:
Failure mode and effects analysis, Dempster-Shafer evidence theory, basic belief assignment, belief function, risk priority number, D numbers, evidential downscaling, aggregate assessmentAbstract
Failure mode and effects analysis (FMEA) is extensively applied to process potential faults in systems, designs, and products. Nevertheless, traditional FMEA, classical risk priority number (RPN), acquired by multiplying the ratings of occurrence, detection, and severity, risk assessment, is not effective to process the uncertainty in FMEA. Many methods have been proposed to solve the issue but deficiencies exist, such as huge computing quality and the mutual exclusivity of propositions. In fact, because of the subjectivity of experts, the boundary of two adjacent evaluation ratings is fuzzy so that the propositions are not mutually exclusive. To address the issues, in this paper, a new method to evaluate risk in FMEA based on D numbers and evidential downscaling method, named as D numbers downscaling method, is proposed. In the proposed method, D numbers based on the data are constructed to process uncertain information and aggregate the assessments of risk factors, for they permit propositions to be not exclusive mutually. Evidential downscaling method decreases the number of ratings from 10 to 3, and the frame of discernment from 2^{10} to 2^3 , which greatly reduce the computational complexity. Besides, a numerical example is illustrated to validate the high efficiency and feasibility of the proposed method.References
Abellán, J., Mantas, C. J., Castellano, J. G., (2017); A random forest approach using imprecise probabilities, Knowledge-Based Systems, 134, 72-84, 2017. https://doi.org/10.1016/j.knosys.2017.07.019
Abellán, J., (2017); Analyzing properties of deng entropy in the theory of evidence, Chaos Solitons & Fractals, 95, 195-199, 2017. https://doi.org/10.1016/j.chaos.2016.12.024
Bowles, J. B., Pelaez, C. E., (1995); Fuzzy logic prioritization of failures in a system failure mode, effects and criticality analysis, Reliability Engineering System Safety, 50(2), 203-213, 1995. https://doi.org/10.1016/0951-8320(95)00068-D
Chin, K. S., Wang, Y. M., Gary, K. K. P., Yang, J. B., (2009); Failure mode and effects analysis using a group-based evidential reasoning approach, Computers & Operations Research, 36 (6), 1768-1779, 2009. https://doi.org/10.1016/j.cor.2008.05.002
Dempster, A. P., (1967). Upper and lower probabilities induced by a multivalued mapping, Annals of Mathematical Statistics, 38 (2), 325-339, 1967. https://doi.org/10.1214/aoms/1177698950
Deng, X., Han, D., Dezert, J., Deng, Y., Shyr, Y., (2016); Evidence Combination From an Evolutionary Game Theory Perspective, IEEE Transactions on Cybernetics, 46(9), 2070- 2082, 2016. https://doi.org/10.1109/TCYB.2015.2462352
Deng, X., Liu, Q., Deng, Y., (2016); Matrix games with payoffs of belief structures, Applied Mathematics and Computation, 273, 868-879, 2016. https://doi.org/10.1016/j.amc.2015.10.056
Deng, X., Liu, Q., Deng, Y., Mahadevan, S., (2016); An improved method to construct basic probability assignment based on the confusion matrix for classification problem, Information Sciences, 340, 250-261, 2016.
Deng, Y., (2012). D numbers: theory and applications, Journal of Information and Computational Science, 9 (9), 2421-2428, 2012.
Dong, Y., Wang, J., Chen, F., Hu, Y., Deng, Y., (2017); Location of facility based on simulated annealing and ZKW algorithms, Mathematical Problems in Engineering, Article ID 4628501, 2017.
Du, Y., Lu, X., Su, X., Hu, Y., Deng, Y., (2016); New failure mode and effects analysis: An evidential downscaling method, Quality & Reliability Engineering, 32 (2), 737-746, 2016. https://doi.org/10.1002/qre.1753
Fei, L.; Wang, H.; Chen, L.; Deng, Y. (2017); A new vector valued similarity measure for intuitionistic fuzzy sets based on OWA operators, Iranian Journal of Fuzzy Systems, accepted, 2017.
Goyal, R. K., Kaushal, S., (2016); A constrained non-linear optimization model for fuzzy pairwise comparison matrices using teaching learning based optimization, Applied Intelligence, 1-10, 2016.
Hu, Y., Du, F., Zhang, H. L., (2016); Investigation of unsteady aerodynamics effects in cycloidal rotor using RANS solver, Aeronatical Journal, 120(1228), 956-970, 2016. https://doi.org/10.1017/aer.2016.38
Jain, K., (2017). Use of failure mode effect analysis (fmea) to improve medication management process, International Journal of Health Care Quality Assurance, 30 (2), 175, 2017. https://doi.org/10.1108/IJHCQA-09-2015-0113
Jiang, W., Wang, S., (2017); An uncertainty measure for interval-valued evidences, International Journal of Computers Communications & Control, 12 (5), 631-644, 2017. https://doi.org/10.15837/ijccc.2017.5.2950
Jiang, W., Wang, S., Liu, X., Zheng, H., Wei, B., (2017); Evidence conflict measure based on OWA operator in open world, PloS one,12 (5), e0177828, 2017. https://doi.org/10.1371/journal.pone.0177828
Jiang, W., Xie, C., Zhuang, M., Tang, Y., (2017); Failure mode and effects analysis based on a novel fuzzy evidential method, Applied Soft Computing, 57, 672-683, 2017. https://doi.org/10.1016/j.asoc.2017.04.008
Kang, B., Chhipi-Shrestha, G., Deng, Y., Mori, J., Hewage, K., Sadiq, R. (2017); Development of a predictive model for clostridium difficile infection incidence in hospitals using gaussian mixture model and dempster-shafer theroy, Stochastic Environmental Research and Risk Assessment, accepted, 2017.
Li, C., Mahadevan, S., (2016); An efficient modularized sample-based method to estimate the first-order sobol index, Reliability Engineering & System Safety, 153, 110-121, 2016. https://doi.org/10.1016/j.ress.2016.04.012
Li, C., Mahadevan, S., (2016); Relative contributions of aleatory and epistemic uncertainty sources in time series prediction, International Journal of Fatigue, 82, 474-486, 2016. https://doi.org/10.1016/j.ijfatigue.2015.09.002
Li, C.; Mahadevan, S. (2016); Role of calibration, validation, and relevance in multi-level uncertainty integration, Reliability Engineering & System Safety, 148, 32-43, 2016. https://doi.org/10.1016/j.ress.2015.11.013
Liu, H. C., You, J. X., Fan, X. J., Lin, Q. L., (2014); Failure mode and effects analysis using d numbers and grey relational projection method, Expert Systems with Applications, 41 (10), 4670-4679, 2014. https://doi.org/10.1016/j.eswa.2014.01.031
Liu, H. C., You, J. X., Li, P., Su, Q., (2016); Failure mode and effect analysis under uncertainty: An integrated multiple criteria decision making approach, IEEE Transactions on Reliability, 65 (3), 1380-1392, 2016. https://doi.org/10.1109/TR.2016.2570567
Liu, H. C., You, J. X., Li, P., Su, Q., (2016); Failure mode and effect analysis under uncertainty: An integrated multiple criteria decision making approach, IEEE Transactions on Reliability, 1-13, 2016.
Liu, H.-C., You, J.-X., You, X.-Y., Shan, M.-M., (2015); A novel approach for failure mode and effects analysis using combination weighting and fuzzy vikor method, Applied Soft Computing, 28, 579-588, 2015. https://doi.org/10.1016/j.asoc.2014.11.036
Liu, J., Lian, F., Mallick, M., (2016); Distributed compressed sensing based joint detection and tracking for multistatic radar system, Information Sciences, 369, 100-118, 2016. https://doi.org/10.1016/j.ins.2016.06.032
Liu, T., Deng, Y., Chan, F., (2017); Evidential supplier selection based on DEMATEL and game theory, International Journal of Fuzzy Systems, DOI: 10.1007/s40815-017-0400-4, 2017. https://doi.org/10.1007/s40815-017-0400-4
Liu, W., Liu, H. B., Li, L. L., (2017); A multiple attribute group decision making method based on 2-d uncertain linguistic weighted heronian mean aggregation operator, International Journal of Computers Communications & Control, 12 (2), 254-264, 2017. https://doi.org/10.15837/ijccc.2017.2.2792
Liu, Z., Pan, Q., Dezert, J., Han, J.-W., He, Y., (2017); Classifier fusion with contextual reliability evaluation, IEEE Transactions on Cybernetics, 99, 1-14, 2017.
Liu, Z., Pan, Q., Dezert, J., Martin, A., (2017); Combination of classifiers with optimal weight based on evidential reasoning, IEEE Transactions on Fuzzy Systems, 99, 1-15, 2017.
Méndez-González, L. C., Ambrosio-Lazaro, R., Rodriguez-Borbon, I., Alvarado-Iniesta, A., (2016); Failure mode and effects analysis of power quality issues and their influence in the reliability of electronic products, Electrical Engineering, 1-13, 2016.
Mo, H., Deng, Y., (2016); A new aggregating operator in linguistic decision making based on d numbers, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 24 (6), 831-846, 2016. https://doi.org/10.1142/S0218488516500379
Mo, H., Gao, C., Deng, Y., (2015); Evidential method to identify influential nodes in complex networks, Journal of Systems Engineering and Electronics, 26 (2), 381-387, 2015. https://doi.org/10.1109/JSEE.2015.00044
Mo, H., Lu, X., Deng, Y., (2016); A generalized evidence distance, Journal of Systems Engineering and Electronics, 27 (2), 470-476, 2016. https://doi.org/10.1109/JSEE.2016.00049
Perdomo Ojeda, M., Salomon Llanes, J., (2016); Expanded failure mode and effects analysis: Advanced approach for reliability assessments, Revista Cubana de Ingeneria, 7 (2), 5-14, 2016.
Pillay, A., Wang, J., (2003); Modified failure mode and effects analysis using approximate reasoning, Reliability Engineering System Safety, 79 (1), 69-85, 2003. https://doi.org/10.1016/S0951-8320(02)00179-5
Schneider, H., (1996); Failure mode and effect analysis: Fmea from theory to execution, Technometrics, 38 (1), 80-80, 1996. https://doi.org/10.1080/00401706.1996.10484424
Tooranloo, H. S., Ayatollah, A. S., (2016); A model for failure mode and effects analysis based on intuitionistic fuzzy approach, Applied Soft Computing, 49, 238-247, 2016. https://doi.org/10.1016/j.asoc.2016.07.047
Viejo, M. R., Sanchez-Izquierdo Riera, J., Molano, E., Barea Mendoza, J. A., Temprano, V. S., Diaz, C. L., Montejo Gonzalez, J. C., (2016); Improvement of the safety of a clinical process using failure mode and effects analysis: Prevention of venous thromboembolic disease in critical patients, Medicina Intensiva, 40 (8), 483, 2016.
Wang, J., Hu, Y., Xiao, F., Deng, X., Deng, Y., (2016); A novel method to use fuzzy soft sets in decision making based on ambiguity measure and Dempster-Shafer theory of evidence: An application in medical diagnosis, Artificial intelligence in medicine, 69, 1-11, 2016. https://doi.org/10.1016/j.artmed.2016.04.004
Wang, J., Xiao, F., Deng, X., Fei, L., Deng, Y., (2016); Weighted Evidence Combination Based on Distance of Evidence and Entropy Function, International Journal of Distributed Sensor Networks, 12 (7), 2016.
Wang, Y. M., Chin, K. S., Poon, G. K. K., Yang, J. B., (2009); Risk evaluation in failure mode and effects analysis using fuzzy weighted geometric mean, Expert Systems with Applications, 36 (2), 1195-1207, 2009. https://doi.org/10.1016/j.eswa.2007.11.028
Xiao, F., Aritsugi, M., Wang, Q., Zhang, R., (2016); Efficient processing of multiple nested event pattern queries over multi-dimensional event streams based on a triaxial hierarchical model, Artificial Intelligence in Medicine, 72 (C), 56-71, 2016.
Xiao, F., Zhan, C., Lai, H., Tao, L., Qu, Z., (2017); New parallel processing strategies in complex event processing systems with data streams, International Journal of Distributed Sensor Networks, 13 (8), 1-15, 2017.
Xu, S., Jiang, W., Deng, X., Shou, Y., (2017); A modified physarum-inspired model for the user equilibrium traffic assignment problem, Applied Mathematical Modelling, In Press, DOI: 10.1016/j.apm.2017.07.032, 2017. https://doi.org/10.1016/j.apm.2017.07.032
Yang, Z., Liu, P., Zhu, Y., Zhang, Y., (2016); A comprehensive reliability allocation method for series systems based on failure mode and effects analysis transformed functions, Proc. of the Institution of Mechanical Engineers, Part B- Journal of Engineering Manufacture, 230, 2239-2248, 2016. https://doi.org/10.1177/0954405416673098
Zhang, D., (2017); High-speed train control system big data analysis based on fuzzy rdf model and uncertain reasoning, International Journal of Computers Communications & Control, 12 (4), 577-591, 2017. https://doi.org/10.15837/ijccc.2017.4.2914
Zhang, Q., Li, M., Deng, Y., (2017); Measure the structure similarity of nodes in complex networks based on relative entropy, Physica A: Statistical Mechanics and its Applications, 10.1016/j.physa.2017.09.042, 2017. https://doi.org/10.1016/j.physa.2017.09.042
Zhang, X., Deng, Y., Chan, F. T. S., Adamatzky, A., Mahadevan, S., (2016); Supplier selection based on evidence theory and analytic network process, Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture, 230 (3), 562-573, 2016. https://doi.org/10.1177/0954405414551105
Zhang, X., Mahadevan, S., (2017); A game theoretic approach to network reliability assessment, IEEE Transactions on Reliability, 66 (3), 875-892, 2017. https://doi.org/10.1109/TR.2017.2717186
Zheng, H., Deng, Y., Hu, Y., (2017); Fuzzy evidential influence diagram and its evaluation algorithm, Knowledge-Based Systems, 131, 28-45, 2017. https://doi.org/10.1016/j.knosys.2017.05.024
Zheng, X., Deng, Y., (2017); Dependence assessment in human reliability analysis based on evidence credibility decay model and iowa operator, Annals of Nuclear Energy, accepted, 2017.
Zhou, X., Deng, X., Deng, Y., Mahadevan, S., (2017); Dependence assessment in human reliability analysis based on d numbers and ahp, Nuclear Engineering and Design, 313, 243-252, 2017. https://doi.org/10.1016/j.nucengdes.2016.12.001
Zhou, X., Shi, Y., Deng, X., Deng, Y., (2017); D-DEMATEL: A new method to identify critical success factors in emergency management, Safety Science, 91, 93-104, 2017. https://doi.org/10.1016/j.ssci.2016.06.014
Published
Issue
Section
License
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.
