{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,11]],"date-time":"2026-06-11T12:37:26Z","timestamp":1781181446568,"version":"3.54.1"},"reference-count":20,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2011,3]]},"abstract":"<jats:p> In this paper, a Wavelet Neuro-Fuzzy model has been proposed. The proposed work caters an application of wavelet network used in fuzzy systems for forecasting of dynamic systems. A wavelet network approximates the consequent part of each fuzzy rule. The wavelet network is a feed-forward neural network with one hidden layer that uses a combination of Wavelet and Sigmoid Activation Function. A hybrid learning method composed of genetic algorithm and gradient descent is proposed to tune the learning parameters of the proposed Wavelet Neuro-Fuzzy model. Further, an analysis regarding the convergence and stability of gradient descent learning is presented for the proposed Wavelet Neuro-Fuzzy model. To evaluate the effectiveness of proposed model and learning strategy, three different classes of benchmark problems have been considered. <\/jats:p>","DOI":"10.1142\/s021969131100402x","type":"journal-article","created":{"date-parts":[[2011,3,24]],"date-time":"2011-03-24T11:38:15Z","timestamp":1300966695000},"page":"333-359","source":"Crossref","is-referenced-by-count":5,"title":["WAVELET NEURO-FUZZY MODEL WITH HYBRID LEARNING ALGORITHM OF GRADIENT DESCENT AND GENETIC ALGORITHM"],"prefix":"10.1142","volume":"09","author":[{"given":"AHMAD","family":"BANAKAR","sequence":"first","affiliation":[{"name":"Department of Agricultural Machinery, Faculty of Agriculture, University of Tarbiat Modarres, Tehran, Iran"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"MOHAMMAD FAZLE","family":"AZEEM","sequence":"additional","affiliation":[{"name":"Department of Electronics and Communication Engineering, PA College of Engineering, Nadu Padav, Monte Padav Post, Kairangala, Mangalore, 574 153, Karnataka, India"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1080\/10255810390245546"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1142\/S0219691307002099"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2007.10.020"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.820557"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1109\/72.712150"},{"key":"rf7","first-page":"139","volume":"5","author":"Goldberg D. 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