New health-state assessment model based on belief rule base with interpretability

Health-state assessment is the foundation of optimal-maintenance decision-making for complex systems to maintain reliability and safety. Generating the assessment results in a convincing and interpretable way to avoid potential risks is of great importance. Belief rule base (BRB) as an interpretable model performs well in health-state assessment. However, the interpretability of a BRB-based model may be lost during the optimization process, which is expressed mainly as three problems: expert knowledge is not effectively used in the optimization process; the optimized rules of BRB may be in conflict with real systems; and some parameters get over-optimized, which may affect experts’ initial judgment. Three concepts — “searching intensity”, “interpretability constraint of belief distribution”, and “rule-activation factor” — are defined to address these problems. Using these concepts, we propose a new health-state assessment model based on the interpretable BRB and a new optimization method to improve the accuracy and preserve the interpretability of the new model. To demonstrate the effectiveness of the proposed model, we conducted an aero-engine case study.

[1]  Chang-Hua Hu,et al.  An optimal safety assessment model for complex systems considering correlation and redundancy , 2019, Int. J. Approx. Reason..

[2]  Hang Wei,et al.  A Double Layer BRB Model for Health Prognostics in Complex Electromechanical System , 2017, IEEE Access.

[3]  Chang-Hua Hu,et al.  A Survey of Belief Rule-Base Expert System , 2019, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[4]  Huchang Liao,et al.  Generic Disjunctive Belief-Rule-Base Modeling, Inferencing, and Optimization , 2019, IEEE Transactions on Fuzzy Systems.

[5]  Bangcheng Zhang,et al.  Principal component analysis and belief-rule-base aided health monitoring method for running gears of high-speed train , 2020, Science China Information Sciences.

[6]  John Q. Gan,et al.  Low-level interpretability and high-level interpretability: a unified view of data-driven interpretable fuzzy system modelling , 2008, Fuzzy Sets Syst..

[7]  Limao Zhang,et al.  Hybrid belief rule base for regional railway safety assessment with data and knowledge under uncertainty , 2020, Inf. Sci..

[8]  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.

[9]  Jian-Bo Yang,et al.  Inference analysis and adaptive training for belief rule based systems , 2011, Expert Syst. Appl..

[10]  Jian-Bo Yang,et al.  Optimization Models for Training Belief-Rule-Based Systems , 2007, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[11]  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 .

[12]  Yu Zhou,et al.  Structure learning for belief rule base expert system: A comparative study , 2013, Knowl. Based Syst..

[13]  L. Zadeh A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges , 1972 .

[14]  Grant DA-AR A Fuzzy-Set-Theoretic Interpretation of Linguistic Hedges , 2015 .

[15]  Bart Preneel,et al.  Cryptanalysis of a Perturbated White-Box AES Implementation , 2010, INDOCRYPT.

[16]  Jian-Bo Yang,et al.  Online Updating Belief-Rule-Base Using the RIMER Approach , 2011, IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans.

[17]  Ming Jian Zuo,et al.  Optimal selective maintenance for multi-state systems in variable loading conditions , 2017, Reliab. Eng. Syst. Saf..

[18]  Wu Weiku Parameter Training Approach for Belief Rule Base Using the Accelerating of Gradient Algorithm , 2014 .

[19]  Jian-Bo Yang,et al.  On the inference and approximation properties of belief rule based systems , 2013, Inf. Sci..

[20]  Mendus Jacob,et al.  Reliability analysis of a complex system with a deteriorating standby unit under common-cause failure and critical human error , 1996 .

[21]  Jian-Bo Yang,et al.  A sequential learning algorithm for online constructing belief-rule-based systems , 2010, Expert Syst. Appl..

[22]  Long-Hao Yang,et al.  Belief Rule Base Structure and Parameter Joint Optimization Under Disjunctive Assumption for Nonlinear Complex System Modeling , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[23]  F. Herrera,et al.  Accuracy Improvements in Linguistic Fuzzy Modeling , 2003 .

[24]  Geoffrey E. Hinton,et al.  Reducing the Dimensionality of Data with Neural Networks , 2006, Science.

[25]  Jian-Bo Yang,et al.  Online updating belief rule based system for pipeline leak detection under expert intervention , 2009, Expert Syst. Appl..

[26]  Chang-Hua Hu,et al.  A New Evidential Reasoning-Based Method for Online Safety Assessment of Complex Systems , 2018, IEEE Transactions on Systems, Man, and Cybernetics: Systems.

[27]  Xiaoxia Han,et al.  A hidden fault prediction model based on the belief rule base with power set and considering attribute reliability , 2019, Science China Information Sciences.