[1]
|
Casillas J, Cordón O, Herrera F, Magdalena L. Interpretability Issues in Fuzzy Modeling. Berlin, Heidelberg: Springer, 2003.
|
[2]
|
He R, Wu X, Sun Z N, Tan T N. Wasserstein CNN: Learning invariant features for NIR-VIS face recognition. IEEE Transactions on Pattern Analysis and Machine Intelligence, 2019, 41(7): 1761−1773 doi: 10.1109/TPAMI.2018.2842770
|
[3]
|
Miao K H, Miao J H. Coronary heart disease diagnosis using deep neural networks. International Journal of Advanced Computer Science and Applications, 2018, 9(10): 1−8
|
[4]
|
Ogunfunmi T, Ramachandran R P, Togneri R, Zhao Y J, Xia X J. A primer on deep learning architectures and applications in speech processing. Circuits, Systems, and Signal Processing, 2019, 38(8): 3406−3432 doi: 10.1007/s00034-019-01157-3
|
[5]
|
Hori T, Chen Z, Erdogan H, Hershey J R, Le Roux J, Mitra V, et al. Multi-microphone speech recognition integrating beamforming, robust feature extraction, and advanced DNN/RNN backend. Computer Speech and Language, 2017, 46: 401−418 doi: 10.1016/j.csl.2017.01.013
|
[6]
|
Wyatt J. Nervous about artificial neural networks. The Lancet, 1995, 346(8984): 1175−1177 doi: 10.1016/S0140-6736(95)92893-6
|
[7]
|
Walker C R, Frize M. Are Artificial Neural Networks “Ready to Use” for Decision Making in the Neonatal Intensive Care Unit?: Commentary on the article by Mueller et al. and page 11. Pediatric Research, 2004, 56(1): 6−8 doi: 10.1203/01.PDR.0000129654.02381.B9
|
[8]
|
Gacto M J, Alcalá R, Herrera F. Interpretability of linguistic fuzzy rule-based systems: An overview of interpretability measures. Information Sciences, 2011, 181(20): 4340−4360 doi: 10.1016/j.ins.2011.02.021
|
[9]
|
Guillaume S. Designing fuzzy inference systems from data: An interpretability-oriented review. IEEE Transactions on Fuzzy Systems, 2001, 9(3): 426−443 doi: 10.1109/91.928739
|
[10]
|
Zhou S M, Gan J Q. Low-level interpretability and high-level interpretability: A unified view of data-driven interpretable fuzzy system modelling. Fuzzy Sets and Systems, 2008, 159(23): 3091−3131 doi: 10.1016/j.fss.2008.05.016
|
[11]
|
Mencar C, Fanelli A M. Interpretability constraints for fuzzy information granulation. Information Sciences, 2008, 178(24): 4585−4618 doi: 10.1016/j.ins.2008.08.015
|
[12]
|
Jin Y. Fuzzy modeling of high-dimensional systems: Complexity reduction and interpretability improvement. IEEE Transactions on Fuzzy Systems, 2000, 8(2): 212−220 doi: 10.1109/91.842154
|
[13]
|
Montavon G, Samek W, Müller K R. Methods for interpreting and understanding deep neural networks. Digital Signal Processing, 2018, 73(8): 1−15
|
[14]
|
Robinson R L, Palczewska A, Palczewski J, Kidley N. Comparison of the predictive performance and interpretability of random forest and linear models on benchmark data sets. Journal of Chemical Information and Modeling, 2017, 57(8): 1773−1792 doi: 10.1021/acs.jcim.6b00753
|
[15]
|
Zhang Y R, Haghani A. A gradient boosting method to improve travel time prediction. Transportation Research Part C: Emerging Technologies, 2015, 58: 308−324 doi: 10.1016/j.trc.2015.02.019
|
[16]
|
Cireşan D, Meier U, Masci J, Schmidhuber J. Multi-column deep neural network for traffic sign classification. Neural Networks, 2012, 32: 333−338 doi: 10.1016/j.neunet.2012.02.023
|
[17]
|
Andrews R, Diederich J, Tickle A B. Survey and critique of techniques for extracting rules from trained artificial neural networks. Knowledge-Based Systems, 1995, 8(6): 373−389 doi: 10.1016/0950-7051(96)81920-4
|
[18]
|
Tickle A B, Andrews R, Golea M, Diederich J. The truth will come to light: Directions and challenges in extracting the knowledge embedded within trained artificial neural networks. IEEE Transactions on Neural Networks, 1998, 9(6): 1057−1068 doi: 10.1109/72.728352
|
[19]
|
Fu L M. Rule generation from neural networks. IEEE Transactions on Systems, Man, and Cybernetics, 1994, 24(8): 1114−1124 doi: 10.1109/21.299696
|
[20]
|
De Fortuny E J, Martens D. Active learning-based pedagogical rule extraction. IEEE Transactions on Neural Networks and Learning Systems, 2015, 26(11): 2664−2677 doi: 10.1109/TNNLS.2015.2389037
|
[21]
|
Wang J P, Gou L, Zhang W, Yang H, Shen H W. DeepVID: Deep visual interpretation and diagnosis for image classifiers via knowledge distillation. IEEE Transactions on Visualization and Computer Graphics, 2019, 25(6): 2168−2180 doi: 10.1109/TVCG.2019.2903943
|
[22]
|
Chen Y, Meng H B, Wen X L, Ma P G, Qin Y X, Ma Z X, et al. Classification methods of a small sample target object in the sky based on the higher layer visualizing feature and transfer learning deep networks. EURASIP Journal on Wireless Communications and Networking, 2018, 2018: Article No. 127
|
[23]
|
Oberguggenberger M, King J, Schmelzer B. Classical and imprecise probability methods for sensitivity analysis in engineering: A case study. International Journal of Approximate Reasoning, 2009, 50(4): 680−693 doi: 10.1016/j.ijar.2008.09.004
|
[24]
|
Feng Z C, Zhou Z J, Hu C H, Chang L L, Hu G Y, Zhao F J. A new belief rule base model with attribute reliability. IEEE Transactions on Fuzzy Systems, 2019, 27(5): 903−916 doi: 10.1109/TFUZZ.2018.2878196
|
[25]
|
Yang L H, Liu J, Wang Y M, Martínez L. New activation weight calculation and parameter optimization for extended belief rule-based system based on sensitivity analysis. Knowledge and Information Systems, 2019, 60(2): 837−878 doi: 10.1007/s10115-018-1211-0
|
[26]
|
Jensen C A, Reed R D, Marks R J, El-Sharkawi M A, Jung J B, Miyamoto R T, et al. Inversion of feedforward neural networks: Algorithms and applications. Proceedings of the IEEE, 1999, 87(9): 1536−1549 doi: 10.1109/5.784232
|
[27]
|
Lee G, Jeong J, Seo S, Kim C, Kang P. Sentiment classification with word localization based on weakly supervised learning with a convolutional neural network. Knowledge-Based Systems, 2018, 152(15): 70−82
|
[28]
|
Guidotti R, Monreale A, Ruggieri S, Turini F, Giannotti F, Pedreschi D. A survey of methods for explaining black box models. ACM Computing Surveys, 2018, 51(5): Article No. 93
|
[29]
|
Guo H P, Wu S H, Wang Z Q, Wu C A. Linear regression for forecasting photovoltaic power generation. Applied Mechanics and Materials, 2014, 494-495: 1771−1774 doi: 10.4028/www.scientific.net/AMM.494-495.1771
|
[30]
|
Sun H M. A naive bayes classifier for prediction of multidrug resistance reversal activity on the basis of atom typing. Journal of Medicinal Chemistry, 2005, 48(12): 4031−4039 doi: 10.1021/jm050180t
|
[31]
|
Afsari F, Eftekhari M, Eslami E, Woo P Y. Interpretability-based fuzzy decision tree classifier a hybrid of the subtractive clustering and the multi-objective evolutionary algorithm. Soft Computing, 2013, 17(9): 1673−1686 doi: 10.1007/s00500-013-0981-2
|
[32]
|
Sun R. Robust reasoning: Integrating rule-based and similarity-based reasoning. Artificial Intelligence, 1995, 75(2): 241−295 doi: 10.1016/0004-3702(94)00028-Y
|
[33]
|
Haufe S, Meinecke F, Görgen K, Dähne S, Haynes J D, Blankertz B, et al. On the interpretation of weight vectors of linear models in multivariate neuroimaging. NeuroImage, 2014, 87: 96−110 doi: 10.1016/j.neuroimage.2013.10.067
|
[34]
|
Štrumbelj E, Kononenko I. An efficient explanation of individual classifications using game theory. Journal of Machine Learning Research, 2010, 11(1): 1−18
|
[35]
|
Huysmans J, Dejaeger K, Mues C, Vanthienen J, Baesens B. An empirical evaluation of the comprehensibility of decision table, tree and rule based predictive models. Decision Support Systems, 2011, 51(1): 141−154 doi: 10.1016/j.dss.2010.12.003
|
[36]
|
Breslow L A, Aha D W. Simplifying decision trees: A survey. The Knowledge Engineering Review, 1997, 12(1): 1−40 doi: 10.1017/S0269888997000015
|
[37]
|
Breiman L. Random forests. Machine Learning, 2001, 45(1): 5−32 doi: 10.1023/A:1010933404324
|
[38]
|
Zadeh L A. Fuzzy sets. Information and Control, 1965, 8(3): 338−353 doi: 10.1016/S0019-9958(65)90241-X
|
[39]
|
Mamdani E H. Application of fuzzy algorithms for control of simple dynamic plant. Proceedings of the Institution of Electrical Engineers, 1974, 121(12): 1585−1588 doi: 10.1049/piee.1974.0328
|
[40]
|
Fiordaliso A. A constrained Takagi-Sugeno fuzzy system that allows for better interpretation and analysis. Fuzzy Sets and Systems, 2001, 118(2): 307−318 doi: 10.1016/S0165-0114(99)00109-8
|
[41]
|
Bikdash M. A highly interpretable form of Sugeno inference systems. IEEE Transactions on Fuzzy Systems, 1999, 7(6): 686−696 doi: 10.1109/91.811237
|
[42]
|
周志杰, 陈玉旺, 胡昌华, 张邦成, 常雷雷. 证据推理、置信规则库与复杂系统建模. 北京: 科学出版社, 2017.Zhou Zhi-Jie, Chen Yu-Wang, Hu Chang-Hua, Zhang Bang-Cheng, Chang Lei-Lei. Evidential Reasoning, Belief Rule Base and Complex System Modeling. Beijing: Science Press, 2017.
|
[43]
|
Yang J B, Sen P. A general multi-level evaluation process for hybrid MADM with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics, 1994, 24(10): 1458−1473 doi: 10.1109/21.310529
|
[44]
|
Yang J B, Singh M G. An evidential reasoning approach for multiple-attribute decision making with uncertainty. IEEE Transactions on Systems, Man, and Cybernetics, 1994, 24(1): 1−18 doi: 10.1109/21.259681
|
[45]
|
Yang J B, Liu J, Wang J, Sii H S, Wang H W. Belief rule-base inference methodology using the evidential reasoning approach-RIMER. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2006, 36(2): 266−285 doi: 10.1109/TSMCA.2005.851270
|
[46]
|
Dempster A P. A generalization of Bayesian inference. Journal of the Royal Statistical Society. Series B: Methodological, 1968, 30(2): 205−247
|
[47]
|
Shafer G. A Mathematical Theory of Evidence. Princeton: Princeton University Press, 1976.
|
[48]
|
Poulton E C. Behavioral Decision Theory. Cambridge: Cambridge University Press, 1994.
|
[49]
|
Goodman I R, Nguyen HT. Uncertainty Models for Knowledge Based Systems. North HollandPublishing Co Amsterdam, 1991
|
[50]
|
Liu J, Yang J B, Wang J, Sii H S, Wang Y M. Fuzzy rule-based evidential reasoning approach for safety analysis. International Journal of General Systems, 2004, 33(2-3): 183−204 doi: 10.1080/03081070310001633536
|
[51]
|
Post E L. Introduction to a general theory of elementary propositions. American Journal of Mathematics, 1921, 43(3): 163−185 doi: 10.2307/2370324
|
[52]
|
王宁, 孟宪尧. 输入采用一般模糊划分的T-S模糊控制系统稳定性分析. 自动化学报, 2008, 34(11): 1441−1445Wang Ning, Meng Xian-Yao. Stability analysis of T-S fuzzy control system with inputs using general fuzzy partition. Acta Automatica Sinica, 2008, 34(11): 1441−1445
|
[53]
|
张松涛, 任光. 基于分段模糊Lyapunov方法的离散模糊系统分析与设计. 自动化学报, 2006, 32(5): 813−818Zhang Song-Tao, Ren Guang. Analysis and design of discrete fuzzy system based on piecewise fuzzy Lyapunov approach. Acta Automatica Sinica, 2006, 32(5): 813−818
|
[54]
|
Chang L L, Zhou Z J, You Y, Yang L H, Zhou Z G. Belief rule based expert system for classification problems with new rule activation and weight calculation procedures. Information Sciences, 2016, 336: 75−91 doi: 10.1016/j.ins.2015.12.009
|
[55]
|
Chang L L, Zhou Z J, Liao H C, Chen Y W, Tan X, Herrera F. Generic disjunctive belief-rule-base modeling, inferencing, and optimization. IEEE Transactions on Fuzzy Systems, 2019, 27(9): 1866−1880 doi: 10.1109/TFUZZ.2019.2892348
|
[56]
|
Chang L L, Jiang J, Sun J B, Chen Y W, Zhou Z J, Xu X B, et al. Disjunctive belief rule base spreading for threat level assessment with heterogeneous, insufficient, and missing information. Information Sciences, 2019, 476: 106−131 doi: 10.1016/j.ins.2018.10.004
|
[57]
|
Chang L L, Chen Y W, Hao Z Y, Zhou Z J, Xu X B, Tan X. Indirect disjunctive belief rule base modeling using limited conjunctive rules: Two possible means. International Journal of Approximate Reasoning, 2019, 108: 1−20 doi: 10.1016/j.ijar.2019.02.006
|
[58]
|
Liu J, Martinez L, Wang Y M. Extended belief rule base inference methodology. In: Proceedings of the 3rd International Conference on Intelligent System and Knowledge Engineering. Xiamen, China: IEEE, 2008. 1415−1420
|
[59]
|
Liu J, Martinez L, Calzada A, Wang H. A novel belief rule base representation, generation and its inference methodology. Knowledge-Based Systems, 2013, 53: 129−141 doi: 10.1016/j.knosys.2013.08.019
|
[60]
|
廖贵敏. 基于故障树模型的知识表达方法综述. 电脑与信息技术, 2000, (1): 6−8, 52Liao Gui-Min. A survey of knowledge representation methods based on fault tree model. Computer and Information Technology, 2000, (1): 6−8, 52
|
[61]
|
Tang D W, Yang J B, Chin K S, Wong Z S Y, Liu X B. A methodology to generate a belief rule base for customer perception risk analysis in new product development. Expert Systems with Applications, 2011, 38(5): 5373−5383 doi: 10.1016/j.eswa.2010.10.018
|
[62]
|
Riid A. Transparent Fuzzy Systems: Modeling and Control [Ph. D. dissertation], Tallinn Technical University, Estonia, 2002
|
[63]
|
De Oliveira J V. A design methodology for fuzzy system interfaces. IEEE Transactions on Fuzzy Systems, 1995, 3(4): 404−414 doi: 10.1109/91.481949
|
[64]
|
De Oliveira J V. Semantic constraints for membership function optimization. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 1999, 29(1): 128−138 doi: 10.1109/3468.736369
|
[65]
|
Dubois D, Prade H. Fuzzy Sets and Systems: Theory and Applications. New York: Academic Press, 1980.
|
[66]
|
Zwick R, Carlstein E, Budescu D V. Measures of similarity among fuzzy concepts: A comparative analysis. International Journal of Approximate Reasoning, 1987, 1(2): 221−242 doi: 10.1016/0888-613X(87)90015-6
|
[67]
|
Mencar C, Castellano G, Fanelli A M. Distinguishability quantification of fuzzy sets. Information Sciences, 2007, 177(1): 130−149 doi: 10.1016/j.ins.2006.04.008
|
[68]
|
Mencar C, Castellano G, Bargiela A, Fanelli A M. Similarity vs. possibility in measuring fuzzy sets distinguishability. In: Proceedings of the 5th International Conference on Recent Advances in Soft Computing. Nottingham, UK: Nottingham Trent University, 2004. 354−359
|
[69]
|
Zhou S M, Gan J Q. Constructing accurate and parsimonious fuzzy models with distinguishable fuzzy sets based on an entropy measure. Fuzzy Sets and Systems, 2006, 157(8): 1057−1074 doi: 10.1016/j.fss.2005.08.004
|
[70]
|
Casillas J, Martínez P, Benítez A D. Learning consistent, complete and compact sets of fuzzy rules in conjunctive normal form for regression problems. Soft Computing, 2009, 13(5): 451−465
|
[71]
|
Meesad P, Yen G G. Accuracy, comprehensibility and completeness evaluation of a fuzzy expert system. International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2003, 11(4): 445−466 doi: 10.1142/S0218488503002181
|
[72]
|
Espinosa J, Vandewalle J. Constructing fuzzy models with linguistic integrity from numerical data-AFRELI algorithm. IEEE Transactions on Fuzzy Systems, 2000, 8(5): 591−600
|
[73]
|
Li G L, Zhou Z J, Hu C H, Chang L L, Zhou Z G, Zhao F J. A new safety assessment model for complex system based on the conditional generalized minimum variance and the belief rule base. Safety Science, 2017, 93: 108−120 doi: 10.1016/j.ssci.2016.11.011
|
[74]
|
Zhou Z J, Hu C H, Yang J B, Xu D L, Chen M Y, Zhou D H. A sequential learning algorithm for online constructing belief-rule-based systems. Expert Systems With Applications, 2010, 37(2): 1790−1799 doi: 10.1016/j.eswa.2009.07.067
|
[75]
|
Jin Y C, von Seelen W, Sendhoff B. On generating FC3 fuzzy rule systems from data using evolution strategies. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics), 1999, 29(6): 829−845 doi: 10.1109/3477.809036
|
[76]
|
Ding C, Peng H C. Minimum redundancy feature selection from microarray gene expression data. Journal of Bioinformatics and Computational Biology, 2005, 3(2): 185−205 doi: 10.1142/S0219720005001004
|
[77]
|
Chang L L, Zhou Y, Jiang J, Li M J, Zhang X H. Structure learning for belief rule base expert system: A comparative study. Knowledge-Based Systems, 2013, 39: 159−172 doi: 10.1016/j.knosys.2012.10.016
|
[78]
|
常雷雷, 李孟军, 鲁延京, 程贲, 张晓航. 基于主成分分析的置信规则库结构学习方法. 系统工程理论与实践, 2014, 34(5): 1297−1304 doi: 10.12011/1000-6788(2014)5-1297Chang Lei-Lei, Li Meng-Jun, Lu Yan-Jing, Cheng Ben, Zhang Xiao-Hang. Structure learning for belief rule base using principal component analysis. Systems Engineering: Theory and Practice, 2014, 34(5): 1297−1304 doi: 10.12011/1000-6788(2014)5-1297
|
[79]
|
王应明, 杨隆浩, 常雷雷, 傅仰耿. 置信规则库规则约简的粗糙集方法. 控制与决策, 2014, 29(11): 1943−1950Wang Ying-Ming, Yang Long-Hao, Chang Lei-Lei, Fu Yang-Geng. Rough set method for rule reduction in belief rule base. Control and Decision, 2014, 29(11): 1943−1950
|
[80]
|
Chang L L, Zhou Z J, Chen Y W, Xu X B, Sun J B, Liao T J, et al. Akaike Information Criterion-based conjunctive belief rule base learning for complex system modeling. Knowledge-Based Systems, 2018, 161: 47−64 doi: 10.1016/j.knosys.2018.07.029
|
[81]
|
Jin Y C. Generating distinguishable, complete, consistent and compact fuzzy systems using evolutionary algorithms. Accuracy Improvements in Linguistic Fuzzy Modeling. Studies in Fuzziness and Soft Computing. Berlin, Heidelberg: Springer, 2003. 100−118
|
[82]
|
Hodges J, Bridges S, Sparrow C, Wooley B, Tang B, Jun C. The development of an expert system for the characterization of containers of contaminated waste. Expert Systems with Applications, 1999, 17(3): 167−181 doi: 10.1016/S0957-4174(99)00032-9
|
[83]
|
Walley P. Measures of uncertainty in expert systems. Artificial Intelligence, 1996, 83(1): 1−58 doi: 10.1016/0004-3702(95)00009-7
|
[84]
|
Walley P. Statistical Reasoning with Imprecise Probabilities. New York: Chapman and Hall, 1991.
|
[85]
|
Burnside W. Theory of Probability. Cambridge: Cambridge University Press, 1928.
|
[86]
|
Chapman V. Making decisions. Nurs Stand, 1995, 10(8): 2−8
|
[87]
|
Andersen S K. Probabilistic reasoning in intelligent systems: Networks of plausible inference: Judea Pearl. Artificial Intelligence, 1991, 48(1): 117−124 doi: 10.1016/0004-3702(91)90084-W
|
[88]
|
Nilsson N J. Probabilistic logic. Artificial Intelligence, 1986, 28(1): 71−87 doi: 10.1016/0004-3702(86)90031-7
|
[89]
|
Duda R O, Reboh R. AI and decision makings: The prospector experience. Artificial Intelligence Applications for Business, 1984, 21: 111−147
|
[90]
|
Lauritzen S L, Spiegelhalter D J. Local computations with probabilities on graphical structures and their application to expert systems. Journal of the Royal Statistical Society. Series B: Methodological, 1998, 50(2): 157−224
|
[91]
|
Spiegelhalter D J, Dawid A P, Lauritzen S L, Cowell R G. Bayesian analysis in expert systems. Statistical Science, 1993, 8(3): 219−247
|
[92]
|
Pearl J. Reasoning with belief functions: An analysis of compatibility. International Journal of Approximate Reasoning, 1990, 4(5-6): 363−389 doi: 10.1016/0888-613X(90)90013-R
|
[93]
|
Halpern J Y, Fagin R. Two views of belief: Belief as generalized probability and belief as evidence. Artificial Intelligence, 1992, 54(3): 275−317 doi: 10.1016/0004-3702(92)90048-3
|
[94]
|
Shafer G. Constructive probability. Synthese, 1981, 48(1): 1−60 doi: 10.1007/BF01064627
|
[95]
|
Shafer G. Belief functions and parametric models. Journal of the Royal Statistical Society. Series B: Methodological, 1982, 44(3): 322−339
|
[96]
|
Shafer G. Perspectives on the theory and practice of belief functions. International Journal of Approximate Reasoning, 1990, 4(5-6): 323−362 doi: 10.1016/0888-613X(90)90012-Q
|
[97]
|
Voorbraak F. A computationally efficient approximation of Dempster-Shafer theory. International Journal of Man-machine Studies, 1989, 30(5): 525−536 doi: 10.1016/S0020-7373(89)80032-X
|
[98]
|
Tzvieli A. Possibility theory: An approach to computerized processing of uncertainty. Journal of the American Society for Information Science, 1990, 41(2): 153−154
|
[99]
|
Yager R R. An introduction to applications of possibility theory (+ commentaries by L.A. Zadeh, W. Bandler, T. Saaty, A. Kandel, D. Dubois & H. Prade, R.M. Tong and M. Kochen). Human Systems Management, 1982, 3(4): 246−269 doi: 10.3233/HSM-1982-3404
|
[100]
|
Dubois D, Prade H. Possibility Theory. New York: Plenum Press, 1988.
|
[101]
|
Smith C A B. Consistency in statistical inference and decision. Journal of the Royal Statistical Society. Series B: Methodological, 1961, 23(1): 1−25
|
[102]
|
Jaffray J Y. Bayesian updating and belief functions. IEEE Transactions on Systems, Man, and Cybernetics, 1992, 22(5): 1144−1152 doi: 10.1109/21.179852
|
[103]
|
Wang Y M, Yang J B, Xu D L. Environmental impact assessment using the evidential reasoning approach. European Journal of Operational Research, 2006, 174(3): 1885−1913 doi: 10.1016/j.ejor.2004.09.059
|
[104]
|
Pena-Reyes C A, Sipper M. Fuzzy CoCo: A cooperative-coevolutionary approach to fuzzy modeling. IEEE Transactions on Fuzzy Systems, 2001, 9(5): 727−737 doi: 10.1109/91.963759
|
[105]
|
Guillaume S, Charnomordic B. Generating an interpretable family of fuzzy partitions from data. IEEE Transactions on Fuzzy Systems, 2004, 12(3): 324−335 doi: 10.1109/TFUZZ.2004.825979
|
[106]
|
Yang J B, Liu J, Xu D L, Wang J, Wang H W. Optimization models for training belief-rule-based systems. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2007, 37(4): 569−585 doi: 10.1109/TSMCA.2007.897606
|
[107]
|
Xu D L, Liu J, Yang J B, Liu G P, Wang J, Jenkinson I, et al. Inference and learning methodology of belief-rule-based expert system for pipeline leak detection. Expert Systems with Applications, 2007, 32(1): 103−113 doi: 10.1016/j.eswa.2005.11.015
|
[108]
|
Zhou Z J, Hu C H, Yang J B, Xu D L, Zhou D H. Online updating belief-rule-base using the RIMER approach. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans, 2011, 41(6): 1225−1243 doi: 10.1109/TSMCA.2011.2147312
|
[109]
|
Chang L L, Zhou Z J, Chen Y W, Liao T J, Hu Y, Yang L H. Belief rule base structure and parameter joint optimization under disjunctive assumption for nonlinear complex system modeling. IEEE Transactions on Systems, Man, and Cybernetics: Systems, 2018, 48(9): 1542−1554 doi: 10.1109/TSMC.2017.2678607
|
[110]
|
Ying M S. Perturbation of fuzzy reasoning. IEEE Transactions on Fuzzy Systems, 1999, 7(5): 625−629 doi: 10.1109/91.797985
|
[111]
|
Cai K Y. Robustness of fuzzy reasoning and δ-equalities of fuzzy sets. IEEE Transactions on Fuzzy Systems, 2001, 9(5): 738−750 doi: 10.1109/91.963760
|
[112]
|
Chen Y W, Yang J B, Xu D L, Yang S L. On the inference and approximation properties of belief rule based systems. Information Sciences, 2013, 234: 121−135 doi: 10.1016/j.ins.2013.01.022
|
[113]
|
Yuan Y F, Feldhamer S, Gafni A, Fyfe F, Ludwin D. The development and evaluation of a fuzzy logic expert system for renal transplantation assignment: Is this a useful tool? European Journal of Operational Research, 2002, 142(1): 152−173 doi: 10.1016/S0377-2217(01)00271-5
|
[114]
|
Kong G L, Xu D L, Liu X B, Yang J B. Applying a belief rule-base inference methodology to a guideline-based clinical decision support system. Expert Systems, 2009, 26(5): 391−408 doi: 10.1111/j.1468-0394.2009.00500.x
|
[115]
|
Zhou Z G, Liu F, Jiao L C, Zhou Z J, Yang J B, Gong M G, et al. A bi-level belief rule based decision support system for diagnosis of lymph node metastasis in gastric cancer. Knowledge-Based Systems, 2013, 54: 128−136 doi: 10.1016/j.knosys.2013.09.001
|
[116]
|
Hossain M S, Rahaman S, Mustafa R, Andersson K. A belief rule-based expert system to assess suspicion of acute coronary syndrome (ACS) under uncertainty. Soft Computing, 2018, 22: 7571−7586 doi: 10.1007/s00500-017-2732-2
|
[117]
|
Zalnezhad E, Sarhan A A D M, Hamdi M. Prediction of TiN coating adhesion strength on aerospace AL7075-T6 alloy using fuzzy rule based system. International Journal of Precision Engineering and Manufacturing, 2012, 13(8): 1453−1459 doi: 10.1007/s12541-012-0191-3
|
[118]
|
Zalnezhad E, Sarhan A A D. A fuzzy logic predictive model for better surface roughness of Ti-TiN coating on AL7075-T6 alloy for longer fretting fatigue life. Measurement, 2014, 49: 256−265 doi: 10.1016/j.measurement.2013.11.042
|
[119]
|
Chen Y W, Poon S H, Yang J B, Xu D L, Zhang D X, Acomb S. Belief rule-based system for portfolio optimisation with nonlinear cash-flows and constraints. European Journal of Operational Research, 2012, 223(3): 775−784 doi: 10.1016/j.ejor.2012.07.008
|
[120]
|
Xie G J, Yan S Q, Tang Z Y, Rui L. A PHM system for AEW radar based on AOPS-LSSVM prognostic algorithm and expert knowledge database. In: Proceedings of the 2010 Prognostics and System Health Management Conference. Macao, China: IEEE, 2010. 1−6
|
[121]
|
Ishibashi R, Júnior C L N. GFRBS-PHM: A Genetic Fuzzy Rule-Based System for PHM with improved interpretability. In: Proceedings of the 2013 IEEE Conference on Prognostics and Health Management (PHM). Gaithersburg, MD, USA: IEEE, 2013. 1−7
|
[122]
|
Zhou Z J, Hu C H, Hu G Y, Han X X, Zhang B C, Chen Y W. Hidden behavior prediction of complex systems under testing influence based on semiquantitative information and belief rule base. IEEE Transactions on Fuzzy Systems, 2015, 23(6): 2371−2386 doi: 10.1109/TFUZZ.2015.2426207
|
[123]
|
Hu G Y, Zhou Z J, Zhang B C, Yin X J, Gao Z, Zhou Z G. A method for predicting the network security situation based on hidden BRB model and revised CMA-ES algorithm. Applied Soft Computing, 2016, 48: 404−418 doi: 10.1016/j.asoc.2016.05.046
|
[124]
|
牛培峰, 丁希生. 两层模糊控制在循环流化床床温控制系统中的应用. 燕山大学学报, 2008, 32(2): 124−128 doi: 10.3969/j.issn.1007-791X.2008.02.007Niu Pei-Feng, Ding Xi-Sheng. Application of double-deck fuzzy control to bed temperature control system of circulated fluidized-bed. Journal of Yanshan University, 2008, 32(2): 124−128 doi: 10.3969/j.issn.1007-791X.2008.02.007
|
[125]
|
张海, 周德云, 佟明安. 基于规则控制的快速高度跟踪算法. 火力与指挥控制, 1999, 24(3): 21−26 doi: 10.3969/j.issn.1002-0640.1999.03.004Zhang Hai, Zhou De-Yun, Tong Ming-An. A quick altitude following algorithm based on rules control. Fire Control and Command Control, 1999, 24(3): 21−26 doi: 10.3969/j.issn.1002-0640.1999.03.004
|
[126]
|
Zhou Z H, Feng J. Deep forest: Towards an alternative to deep neural networks. In: Proceedings of the 26th International Joint Conference on Artificial Intelligence (IJCAI-17). Melbourne, Australia, 2017. 3553−3559
|