In collaboration with Payame Noor University and the Iranian Society of Instrumentation and Control Engineers

Document Type : Applied Article

Authors

1 Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran

2 Department of Control Engineering, K.N. Toosi University of Technology, Tehran, Iran

3 Department of Mathematics, Payame Noor University (PNU), P.O. Box, 19395-3697, Tehran, Iran

Abstract

o enhance the performances of rough-neural networks (R-NNs) in the system identification‎,
‎on the base of emotional learning‎, ‎a new stable learning algorithm is developed for them‎. ‎This algorithm facilitates the error convergence by increasing the memory depth of R-NNs‎. ‎To this end‎, ‎an emotional signal as a linear combination of identification error and its differences is used to achieve the learning laws‎.
‎In addition‎, ‎the error convergence and the boundedness of predictions and parameters of the model are proved‎. ‎To illustrate the efficiency of proposed algorithm‎,
‎some nonlinear systems including the cement rotary kiln are identified using this method and the results are compared with some other models.

Keywords

Main Subjects

‎bibitem{affonso}‎
‎Affonso C.‎, ‎Sassi R.J.‎, ‎Barreirosa R‎. ‎(2015)‎. ‎``Biological image classification using rough-fuzzy artificial neural network"‎, ‎Expert Systems with Applications‎, ‎42‎, ‎9482--9488‎.
‎bibitem{ahmadi}‎
‎Ahmadi G.‎, ‎Teshnehlab M‎. ‎(2017)‎. ‎``Designing and implementation of stable sinusoidal rough-neural identifier"‎, ‎IEEE Trans‎. ‎Neural Netw‎. ‎Learn‎. ‎Syst.‎, ‎28‎, ‎1774--1786‎.
‎bibitem{ahmadi2}‎
‎Ahmadi G.‎, ‎Teshnehlab M‎. ‎(2017)‎. ‎``System identification using rough extreme learning machines"‎, ‎In Proceedings of the 9th National Conference on Mathematics of Payame Noor University‎, ‎Kerman‎, ‎811--815‎.
‎bibitem{ahmadi1}‎
‎Ahmadi G.‎, ‎Teshnehlab M.‎, ‎Soltanian‎, ‎F‎. ‎(2018)‎. ‎``Identification of discrete dynamic nonlinear systems using stable sinusoidal rough-neural networks with online emotional learning"‎, ‎In Proceedings of the 6th Iranian Joint Congress on Fuzzy and Intelligent Systems‎, ‎Kerman‎, ‎20--26‎.
‎bibitem{alehasher}‎
‎Alehasher S.‎, ‎Teshnehlab M‎. ‎(2012)‎. ‎``Implementation of rough neural networks with probabilistic learning for nonlinear system identification"‎, ‎J‎. ‎Control‎, ‎6‎, ‎41--50‎.
‎bibitem{balkenius}‎
‎Balkenius C.‎, ‎Mor'{e}n J‎. ‎(2001)‎. ‎``Emotional learning‎: ‎a computational model of amyg"‎, ‎Cybernetics and Systems‎, ‎32‎, ‎611--636‎.
‎bibitem{ding}‎
‎Ding S.‎, ‎Ma G.‎, ‎Shi Z‎. ‎(2014)‎. ‎``A rough RBF neural network based on weighted regularized extreme learning machine"‎, ‎Neural Processing Letters‎, ‎40‎, ‎245--260‎.
‎bibitem{el-saify}‎
‎El-Saify M.‎, ‎El-Garhy A.‎, ‎El-Sheikh G‎. ‎(2017)‎. ‎``Brain emotional learning based intelligent decoupler for nonlinear multi-input multi-output distillation columns"‎, ‎Mathematical Problems in Engineering‎, ‎2017‎, ‎1--13‎.
‎bibitem{hassan2017}‎
‎Hassan‎, ‎Y‎. ‎(2017)‎. ‎``Deep learning architecture using rough sets and rough neural networks"‎, ‎Kybernetes‎, ‎46‎, ‎693--705‎.
‎bibitem{hassan2018}‎
‎Hassan Y‎. ‎(2018)‎. ‎``Rough set machine translation using deep structure and transfer learning"‎, ‎Journal of Intelligent and Fuzzy Systems‎, ‎34‎, ‎4149--4159‎.
‎bibitem{hassanien}‎
‎Hassanien A.‎, ‎Slezak D‎. ‎(2006)‎. ‎``Rough-neural intelligent approach for image classification‎: ‎A case of patients with suspected breast cancer"‎, ‎International Journal of Hybrid Intelligent Systems‎, ‎3‎, ‎205--218‎.
‎bibitem{ioannou}‎
‎Ioannou P.‎, ‎Sun J‎. ‎(1996)‎. ‎Robust adaptive control‎, ‎Prentice Hall‎, ‎New Jersey‎.
‎bibitem{isermann}‎
‎Isermann R.‎, ‎Munchhof M‎. ‎(2011)‎. ‎``Identification of dynamic systems"‎, ‎Springer‎, ‎Berlin‎.
‎bibitem{janay}‎
‎Janakiraman V.‎, ‎Nguyen X.‎, ‎Assanis D‎. ‎(2013)‎. ‎``A lyapunov based stable online learning algorithm for nonlinear dynamical systems using extreme learning machines"‎, ‎In International Joint Conference on Neural Networks‎, ‎Dallas‎, ‎TX‎, ‎USA‎.
‎bibitem{kreyszig}‎
‎Kreyszig E‎. ‎(1978)‎. ‎``Introductory functional analysis with applications"‎, ‎John Wiley and Sons‎, ‎New York‎.
‎bibitem{liao}‎
‎Liao H.‎, ‎Ding S.‎, ‎Wang M.‎, ‎Ma G‎. ‎(2016)‎. ‎``An overview on rough neural networks"‎, ‎Neural Computing and Applications‎, ‎27‎, ‎1805--1816‎.
‎bibitem{lingras}‎
‎Lingras P‎. ‎(1996)‎. ‎``Rough neural networks"‎, ‎In Proceedings of the 6th international conference on information processing and management of uncertainty (IPMU)‎, ‎Granada‎, ‎1445--1450‎.
‎bibitem{lingrasb}‎
‎Lingras P‎. ‎(2001)‎. ‎``Fuzzy-rough and rough-fuzzy serial combinations in neurocomputing"‎, ‎neurocomputing‎, ‎36‎, ‎29--44‎.
‎bibitem{lotfi2014a}‎
‎Lotfi E.‎, ‎Akbarzadeh-T M‎. ‎(2014)‎. ‎``Adaptive brain emotional decayed learning for online prediction of geomagnetic activity indices"‎, ‎Neurocomputing‎, ‎126‎, ‎188--196‎.
‎bibitem{lotfi2014c}‎
‎Lotfi E.‎, ‎Setayeshi S.‎, ‎Taimory S‎. ‎(2014)‎. ‎``A neural basis computational model of emotional brain for online visual object recognition"‎, ‎Applied Artificial Intelligence‎, ‎28‎, ‎814--834‎.
‎bibitem{lucas}‎
‎Lucas C.‎, ‎Abbaspour A.‎, ‎Gholipour A.‎, ‎Araabi B.‎, ‎Fatourechi M‎. ‎(2003)‎. ‎``Enhancing the performance of neurofuzzy predictors by emotional learning algorithm"‎, ‎Informatica‎, ‎27‎, ‎137--145‎.
‎bibitem{lucass}‎
‎Lucas C.‎, ‎Shahmirzadi D.‎, ‎Sheikholeslami N‎. ‎(2004)‎. ‎``Introducing BELBIC‎: ‎brain emotional learning based intelligent controller"‎, ‎Intelligent Automation and Soft Computing‎, ‎10‎, ‎11--21‎.
‎bibitem{man}‎
‎Man Z.‎, ‎Wu H.‎, ‎Liu S.‎, ‎Yu X‎. ‎(2006)‎. ‎``A new adaptive backpropagation algorithm based on lyapunov stability theory for neural networks"‎, ‎IEEE Trans‎. ‎neural netw.‎, ‎17‎, ‎1580--1591‎.
‎bibitem{mardani}‎
‎Mardani A.‎, ‎Nilashi M.‎, ‎Antucheviciene J.‎, ‎Tavana M.‎, ‎Bausys R.‎, ‎Ibrahim O‎. ‎(2017)‎. ‎``Recent fuzzy generalisations of rough sets theory‎: ‎A systematic review and methodological critique of the literature"‎, ‎Complexity‎, ‎2017‎, ‎1--33‎. %doi:10.1155/2017/1608147.
‎bibitem{mehrabian}‎
‎Mehrabian A.‎, ‎Lucas C.‎, ‎Roshanian J‎. ‎(2006)‎. ‎``Aerospace launch vehicle control‎: ‎an intelligent adaptive approach"‎, ‎Aerospace Science and Technology‎, ‎10‎, ‎149--155‎.
‎bibitem{narendra}‎
‎Narendra K.‎, ‎Parthasarathy K‎. ‎(1990)‎. ‎``Identification and control of dynamical systems using neural networks"‎, ‎IEEE Transactions on Neural Networks‎, ‎1‎, ‎4--27‎. %doi:10.1109/72.80202.
‎bibitem{nelles}‎
‎Nelles O‎. ‎(2001)‎. ‎``Nonlinear system identification‎: ‎From classical approaches to neural networks and fuzzy models"‎, ‎Springer-Verlag‎, ‎Berlin‎.
‎bibitem{nguyen}‎
‎Nguyen H.‎, ‎Skowron A‎. ‎(2013)‎. ‎``Rough sets‎: ‎from rudiments to challenges"‎, ‎In Rough sets and intelligent systems – Professor Zdzisław Pawlak in memoriam‎, ‎75--173‎.
‎Berlin volume 1‎.
‎bibitem{park}‎
‎Park I.K.‎, ‎Choi‎, ‎G.S‎. ‎(2015)‎. ‎``Rough set approach for clustering categorical data using information-theoretic dependency measure"‎, ‎Information Systems‎, ‎48‎, ‎289--295‎.
‎bibitem{parsapoor}‎
‎Parsapoor M.‎, ‎Bilstrup U‎. ‎(2013)‎. ‎``Chaotic time series prediction using brain emotional learning-based recurrent fuzzy system (belrfs)"‎, ‎Int‎. ‎J‎. ‎Reasoning-based Intelligent Systems‎, ‎5‎, ‎113--126‎. %doi:10.1504/IJRIS.2013.057273.
‎bibitem{patt}‎
‎Pattaraintakorn P.‎, ‎Cercone N.‎, ‎Naruedomkul K‎. ‎(2006)‎. ‎``Rule learning‎: ‎ordinal prediction based on rough sets and softcomputing‎. ‎Applied Mathematics Letters"‎, ‎An International Journal of Rapid Publication‎, ‎19‎, ‎1300--1307‎.
‎bibitem{paw}‎
‎Pawlack Z‎. ‎(1982)‎. ‎``Rough sets"‎, ‎International Journal of Computer and Information Sciences‎, ‎11‎, ‎341--356‎.
‎bibitem{pedrycz}‎
‎Pedrycz W.‎, ‎Skowron A.‎, ‎Kreinovich V‎. ‎(2008)‎. ‎``Handbook of granular computing"‎, ‎England‎, ‎John Wiley and Sons‎.
‎bibitem{rouhani}‎
‎Rouhani H.‎, ‎Jalili M.‎, ‎Araabi B.‎, ‎Eppler W.‎, ‎Lucas C‎. ‎(2007)‎. ‎``Brain emotional learning based intelligent controller applied to neurofuzzy model of micro-heat exchanger"‎, ‎Expert Systems with Applications‎, ‎32‎, ‎911--918‎.
‎bibitem{sadeghian}‎
‎Sadeghian M.‎, ‎Fatehi A‎. ‎(2011)‎. ‎``Identification‎, ‎prediction and detection of the process fault in a cement rotary kiln by locally linear neuro-fuzzy technique"‎, ‎J‎. ‎Process Control‎, ‎21‎, ‎302--308‎.
‎bibitem{sarmadi}‎
‎Sarmadi N.‎, ‎Teshnehlab M‎. ‎(2002)‎. ‎``Short-term weather forecasting using neurofuzzy approach"‎, ‎In Proceedings of the 20th IASTED International Multi-Conference on Modeling‎, ‎Identification and Control (MIC)‎, ‎Innsbruck‎, ‎Austria‎.
‎bibitem{sharifi}‎
‎Sharifi A.‎, ‎Shoorehdeli M‎. ‎A.‎, ‎Teshnehlab M‎. ‎(2012)‎. ‎``Identification of cement rotary kiln using hierarchical wavelet fuzzy inference system"‎, ‎J‎. ‎Franklin Inst.‎, ‎349‎, ‎162--183‎.
‎bibitem{tay}‎
‎Tay F.‎, ‎Shen‎, ‎L‎. ‎(2002)‎. ‎``Economic and financial prediction using rough sets model"‎, ‎European Journal of Operational Research‎, ‎141‎, ‎641--659‎.
‎bibitem{yama}‎
‎Yamaguchi D.‎, ‎Katayama F.‎, ‎Takahashi M.‎, ‎Arai M.‎, ‎Mackin K‎. ‎(2008)‎. ‎``The medical diagnostic support system using extended rough neural network and multiagent"‎, ‎Artificial life and robotics‎, ‎13‎, ‎184--187‎. %doi:10.1007/s10015-008-0543-3.
‎bibitem{yan}‎
‎Yan L.‎, ‎Sundararajan N.‎, ‎Saratchandran P‎. ‎(2000)‎. ‎``Analysis of minimal radial basis function network algorithm for real-time identification of nonlinear dynamic systems"‎, ‎IEE Proceedings-Control Theory and Applications‎, ‎147‎, ‎476--484‎.
‎bibitem{ye}‎
‎Ye M.‎, ‎Wu X.‎, ‎Hu X.‎, ‎Hu D‎. ‎(2013)‎. ‎``Anonymizing classification data using rough set theory"‎, ‎Knowledge-Based Systems‎, ‎43‎, ‎82--94‎.
‎bibitem{zhang}‎
‎Zhang H.Y.‎, ‎Yang S.Y‎. ‎(2017)‎. ‎``Feature selection and approximate reasoning of large-scale set-valued decision tables based on $alpha$-dominance-based quantitative rough sets"‎, ‎Information Sciences‎, ‎378‎, ‎328--347‎.