A belief rule-based evidence updating method for industrial alarm system design

Abstract This paper presents a belief rule-based evidence updating method for industrial alarm system design, concentrating on handling uncertainties of process variable. Firstly, Sigmoid function-type thresholds are designed to transform the sampled value of a process variable to the corresponding alarm evidence with the form of belief degrees about “Alarm” and “No-alarm”. Secondly, a linear updating strategy of evidence is introduced to combine the current alarm evidence with historical evidence such that the fused evidence can provide more accurate alarm decision support. In the process of evidence updating, the belief rule inference is used to determine the combined weights of the current and historical evidence by modeling the reliability degree data of alarm evidence. The proposed method adopts the knowledge and data-driven idea without knowing the precise probabilistic characteristics of the monitored process variable. Hence, in industrial practice it may be more available and flexible than the traditional probability-based design methods. Finally, a typical numerical experiment and an industrial case show the proposed method has better comprehensive performance than some typical probability-based methods, binary classifiers, and the original evidence updating methods.

[1]  Jian-Bo Yang,et al.  Belief rule-base inference methodology using the evidential reasoning Approach-RIMER , 2006, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[2]  Chih-Jen Lin,et al.  LIBSVM: A library for support vector machines , 2011, TIST.

[3]  Fan Yang,et al.  Design and Analysis of Improved Alarm Delay-Timers , 2015 .

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

[5]  Jon C. Helton,et al.  Challenge Problems : Uncertainty in System Response Given Uncertain Parameters ( DRAFT : November 29 , 2001 ) , 2001 .

[6]  John Francis Kros,et al.  A comparison of imputation methods in the presence of imprecise data when employing a neural network s-Sigmoid function , 2007, Int. J. Bus. Intell. Data Min..

[7]  Chang-Hua Hu,et al.  A New BRB-ER-Based Model for Assessing the Lives of Products Using Both Failure Data and Expert Knowledge , 2016, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[8]  Sirish L. Shah,et al.  An Overview of Industrial Alarm Systems: Main Causes for Alarm Overloading, Research Status, and Open Problems , 2016, IEEE Transactions on Automation Science and Engineering.

[9]  Zhiguo Zhou,et al.  A new safety assessment model for complex system based on the conditional generalized minimum variance and the belief rule base , 2017 .

[10]  Mei-Ling Shyu,et al.  Conditioning and updating evidence , 2004, Int. J. Approx. Reason..

[11]  Dong-Ling Xu,et al.  Circuit Tolerance Design Using Belief Rule Base , 2015 .

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

[13]  Iman Izadi,et al.  Performance Assessment and Design for Univariate Alarm Systems Based on FAR, MAR, and AAD , 2012, IEEE Transactions on Automation Science and Engineering.

[14]  Xiaojing Song,et al.  The optimal design of industrial alarm systems based on evidence theory , 2016 .

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

[16]  Jian-Bo Yang,et al.  The evidential reasoning approach for MADA under both probabilistic and fuzzy uncertainties , 2006, Eur. J. Oper. Res..

[17]  Iman Izadi,et al.  Optimal Alarm Signal Processing: Filter Design and Performance Analysis , 2013, IEEE Transactions on Automation Science and Engineering.

[18]  Ming Jian Zuo,et al.  Effect of Truncated Input Parameter Distribution on the Integrity of Safety Instrumented Systems Under Epistemic Uncertainty , 2017, IEEE Transactions on Reliability.

[19]  Anne-Laure Jousselme,et al.  Distances in evidence theory: Comprehensive survey and generalizations , 2012, Int. J. Approx. Reason..

[20]  Ian Jenkinson,et al.  Inference and learning methodology of belief-rule-based expert system for pipeline leak detection , 2007, Expert Syst. Appl..

[21]  Chen-Yi Lee,et al.  A Hardware-Efficient Sigmoid Function With Adjustable Precision for a Neural Network System , 2015, IEEE Transactions on Circuits and Systems II: Express Briefs.