Modeling Sensor Reliability in Fault Diagnosis Based on Evidence Theory

Sensor data fusion plays an important role in fault diagnosis. Dempster–Shafer (D-R) evidence theory is widely used in fault diagnosis, since it is efficient to combine evidence from different sensors. However, under the situation where the evidence highly conflicts, it may obtain a counterintuitive result. To address the issue, a new method is proposed in this paper. Not only the statistic sensor reliability, but also the dynamic sensor reliability are taken into consideration. The evidence distance function and the belief entropy are combined to obtain the dynamic reliability of each sensor report. A weighted averaging method is adopted to modify the conflict evidence by assigning different weights to evidence according to sensor reliability. The proposed method has better performance in conflict management and fault diagnosis due to the fact that the information volume of each sensor report is taken into consideration. An application in fault diagnosis based on sensor fusion is illustrated to show the efficiency of the proposed method. The results show that the proposed method improves the accuracy of fault diagnosis from 81.19% to 89.48% compared to the existing methods.

[1]  Qian Fan,et al.  Performance evaluation of subsea BOP control systems using dynamic Bayesian networks with imperfect repair and preventive maintenance , 2013, Eng. Appl. Artif. Intell..

[2]  Lotfi A. Zadeh,et al.  A Simple View of the Dempster-Shafer Theory of Evidence and Its Implication for the Rule of Combination , 1985, AI Mag..

[3]  Sankaran Mahadevan,et al.  Environmental impact assessment based on D numbers , 2014, Expert Syst. Appl..

[4]  Yu Luo,et al.  Determining Basic Probability Assignment Based on the Improved Similarity Measures of Generalized Fuzzy Numbers , 2015, Int. J. Comput. Commun. Control.

[5]  Sun,et al.  Fault Diagnosis Based on the Updating Strategy of Interval-Valued Belief Structures , 2014 .

[6]  Yong Deng A Threat Assessment Model under Uncertain Environment , 2015 .

[7]  Qian Fan,et al.  A dynamic Bayesian networks modeling of human factors on offshore blowouts , 2013 .

[8]  Uwe Fink,et al.  Classic Works Of The Dempster Shafer Theory Of Belief Functions , 2016 .

[9]  Shi Wen-kang,et al.  Combining belief functions based on distance of evidence , 2004 .

[10]  José Eugenio Naranjo,et al.  Distributed Pedestrian Detection Alerts Based on Data Fusion with Accurate Localization , 2013, Sensors.

[11]  H. S. Wolff,et al.  iRun: Horizontal and Vertical Shape of a Region-Based Graph Compression , 2022, Sensors.

[12]  Maurice Kettner,et al.  Spark plug fault recognition based on sensor fusion and classifier combination using Dempster–Shafer evidence theory , 2015 .

[13]  Yi Yang,et al.  Multi-class SVM classifiers fusion based on evidence combination , 2007, 2007 International Conference on Wavelet Analysis and Pattern Recognition.

[14]  Qian Fan,et al.  Multi-source information fusion based fault diagnosis of ground-source heat pump using Bayesian network , 2014 .

[15]  Yang Liu,et al.  An Improved Genetic Algorithm with Initial Population Strategy for Symmetric TSP , 2015 .

[16]  Catherine K. Murphy Combining belief functions when evidence conflicts , 2000, Decis. Support Syst..

[17]  Meng Zhao,et al.  Gabor face recognition by multi-channel classifier fusion of supervised kernel manifold learning , 2012, Neurocomputing.

[18]  Chao Fu,et al.  Robust evidential reasoning approach with unknown attribute weights , 2014, Knowl. Based Syst..

[19]  Hu-Chen Liu,et al.  Failure mode and effects analysis using D numbers and grey relational projection method , 2014, Expert Syst. Appl..

[20]  Yong Deng,et al.  Evaluating Sensor Reliability in Classification Problems Based on Evidence Theory , 2006, IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics).

[21]  Mohamed A. Deriche,et al.  A New Technique for Combining Multiple Classifiers using The Dempster-Shafer Theory of Evidence , 2002, J. Artif. Intell. Res..

[22]  Weiru Liu,et al.  Analyzing the degree of conflict among belief functions , 2006, Artif. Intell..

[23]  Yong Deng,et al.  Deng entropy: a generalized Shannon entropy to measure uncertainty , 2015 .

[24]  Éloi Bossé,et al.  A new distance between two bodies of evidence , 2001, Inf. Fusion.

[25]  Qi Liu,et al.  Combining belief functions based on distance of evidence , 2004, Decis. Support Syst..

[26]  Xizhao Wang,et al.  Editorial: Uncertainty in learning from big data , 2015, Fuzzy Sets Syst..

[27]  Gert de Cooman,et al.  A behavioral model for linguistic uncertainty , 2001, Inf. Sci..

[28]  Yonghong Liu,et al.  Application of Bayesian Networks in Quantitative Risk Assessment of Subsea Blowout Preventer Operations , 2013, Risk analysis : an official publication of the Society for Risk Analysis.

[29]  Galina L. Rogova,et al.  Reliability In Information Fusion : Literature Survey , 2004 .

[30]  Hu-Chen Liu,et al.  Fuzzy Failure Mode and Effects Analysis Using Fuzzy Evidential Reasoning and Belief Rule-Based Methodology , 2013, IEEE Transactions on Reliability.

[31]  MardaniAbbas,et al.  Fuzzy multiple criteria decision-making techniques and applications - Two decades review from 1994 to 2014 , 2015 .

[32]  Rolf Haenni,et al.  Are alternatives to Dempster's rule of combination real alternatives?: Comments on "About the belief function combination and the conflict management problem" - Lefevre et al , 2002, Inf. Fusion.

[33]  Yong Deng,et al.  Generalized evidence theory , 2014, Applied Intelligence.

[34]  Néstor Becerra Yoma,et al.  ASR based pronunciation evaluation with automatically generated competing vocabulary and classifier fusion , 2009, Speech Commun..

[35]  Richard W. Jones,et al.  A framework for intelligent medical diagnosis using the theory of evidence , 2002, Knowl. Based Syst..

[36]  Anil K. Jain,et al.  Combining classifiers for face recognition , 2003, 2003 International Conference on Multimedia and Expo. ICME '03. Proceedings (Cat. No.03TH8698).

[37]  Dong Chen,et al.  Novel Algorithm for Identifying and Fusing Conflicting Data in Wireless Sensor Networks , 2014, Sensors.

[38]  Xianfeng Fan,et al.  Fault diagnosis of machines based on D-S evidence theory. Part 1: D-S evidence theory and its improvement , 2006, Pattern Recognit. Lett..

[39]  Sankaran Mahadevan,et al.  Vulnerability Assessment of Physical Protection Systems: A Bio-Inspired Approach , 2015, Int. J. Unconv. Comput..

[40]  Yi Yang,et al.  Multiple Classifiers Fusion Based on Weighted Evidence Combination , 2007, 2007 IEEE International Conference on Automation and Logistics.

[41]  Akira Shimazu,et al.  Combining classifiers for word sense disambiguation based on Dempster-Shafer theory and OWA operators , 2007, Data Knowl. Eng..

[42]  Edmundas Kazimieras Zavadskas,et al.  Fuzzy multiple criteria decision-making techniques and applications - Two decades review from 1994 to 2014 , 2015, Expert Syst. Appl..

[43]  Glenn Shafer,et al.  A Mathematical Theory of Evidence , 2020, A Mathematical Theory of Evidence.

[44]  R. Yager On the dempster-shafer framework and new combination rules , 1987, Inf. Sci..

[45]  Shanlin Yang,et al.  Conjunctive combination of belief functions from dependent sources using positive and negative weight functions , 2014, Expert Syst. Appl..

[46]  Xiaoyu Zhang,et al.  Interactive patent classification based on multi-classifier fusion and active learning , 2014, Neurocomputing.

[47]  Philippe Smets,et al.  The Combination of Evidence in the Transferable Belief Model , 1990, IEEE Trans. Pattern Anal. Mach. Intell..

[48]  Adam Krzyżak,et al.  Methods of combining multiple classifiers and their applications to handwriting recognition , 1992, IEEE Trans. Syst. Man Cybern..

[49]  Xinyang Deng,et al.  Supplier selection using AHP methodology extended by D numbers , 2014, Expert Syst. Appl..

[50]  Edmundas Kazimieras Zavadskas,et al.  Environmental impact assessment based on group decision-making methods in mining projects , 2014 .

[51]  Yunpeng Ma,et al.  Real-time reliability evaluation methodology based on dynamic Bayesian networks: A case study of a subsea pipe ram BOP system. , 2015, ISA transactions.

[52]  Henri Prade,et al.  Representation and combination of uncertainty with belief functions and possibility measures , 1988, Comput. Intell..

[53]  Arthur P. Dempster,et al.  Upper and Lower Probabilities Induced by a Multivalued Mapping , 1967, Classic Works of the Dempster-Shafer Theory of Belief Functions.

[54]  Yu Luo,et al.  An improved method to rank generalized fuzzy numbers with different left heights and right heights , 2015, J. Intell. Fuzzy Syst..

[55]  Philippe Smets,et al.  Belief functions: The disjunctive rule of combination and the generalized Bayesian theorem , 1993, Int. J. Approx. Reason..