{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,5,3]],"date-time":"2025-05-03T04:02:33Z","timestamp":1746244953466,"version":"3.40.4"},"publisher-location":"Cham","reference-count":37,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319051697"},{"type":"electronic","value":"9783319051703"}],"license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2014]]},"DOI":"10.1007\/978-3-319-05170-3_4","type":"book-chapter","created":{"date-parts":[[2014,3,26]],"date-time":"2014-03-26T13:53:08Z","timestamp":1395841988000},"page":"51-65","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Neural Network with Fuzzy Weights Using Type-1 and Type-2 Fuzzy Learning with Gaussian Membership Functions"],"prefix":"10.1007","author":[{"given":"Fernando","family":"Gaxiola","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Patricia","family":"Melin","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fevrier","family":"Valdez","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2014,3,27]]},"reference":[{"key":"4_CR1","doi-asserted-by":"publisher","first-page":"518","DOI":"10.1007\/978-3-642-13033-5_53","volume":"6098","author":"R Abiyev","year":"2010","unstructured":"Abiyev, R.: A type-2 fuzzy wavelet neural network for time series prediction. Lect. Notes Comput. Sci. 6098, 518\u2013527 (2010)","journal-title":"Lect. Notes Comput. Sci."},{"issue":"24","key":"4_CR2","doi-asserted-by":"publisher","first-page":"5775","DOI":"10.1016\/j.ins.2007.05.024","volume":"177","author":"TG Barbounis","year":"2007","unstructured":"Barbounis, T.G., Theocharis, J.B.: Locally recurrent neural networks for wind speed prediction using spatial correlation. Inf. Sci. 177(24), 5775\u20135797 (2007)","journal-title":"Inf. Sci."},{"key":"4_CR3","first-page":"39","volume-title":"Numerical Methods for Nonlinear Optimization","author":"EML Beale","year":"1972","unstructured":"Beale, E.M.L.: A derivation of conjugate gradients. In: Lootsma, F.A. (ed.) Numerical Methods for Nonlinear Optimization, pp. 39\u201343. Academic Press, London (1972)"},{"issue":"6","key":"4_CR4","doi-asserted-by":"publisher","first-page":"989","DOI":"10.1016\/0893-6080(95)00008-N","volume":"8","author":"D Casasent","year":"1995","unstructured":"Casasent, D., Natarajan, S.: A classifier neural net with complex-valued weights and square-law nonlinearities. Neural Networks 8(6), 989\u2013998 (1995)","journal-title":"Neural Networks"},{"issue":"4","key":"4_CR5","doi-asserted-by":"publisher","first-page":"1267","DOI":"10.1016\/j.asoc.2011.12.010","volume":"12","author":"O Castillo","year":"2012","unstructured":"Castillo, O., Melin, P.: A review on the design and optimization of interval type-2 fuzzy controllers. Appl. Soft Comput. 12(4), 1267\u20131278 (2012)","journal-title":"Appl. Soft Comput."},{"issue":"13","key":"4_CR6","doi-asserted-by":"publisher","first-page":"2175","DOI":"10.1016\/j.ins.2008.10.016","volume":"179","author":"J Castro","year":"2009","unstructured":"Castro, J., Castillo, O., Melin, P., Rodr\u00edguez-D\u00edaz, A.: A hybrid learning algorithm for a class of interval type-2 fuzzy neural networks. Inf. Sci. 179(13), 2175\u20132193 (2009)","journal-title":"Inf. Sci."},{"key":"4_CR7","doi-asserted-by":"crossref","unstructured":"Castro J., Castillo O., Melin P., Mendoza O., Rodr\u00edguez-D\u00edaz A.: An interval type-2 fuzzy neural network for chaotic time series prediction with cross-validation and akaike test. In: Soft Computing for Intelligent Control and Mobile Robotics, pp. 269\u2013285. Springer, Berlin (2011)","DOI":"10.1007\/978-3-642-15534-5_17"},{"issue":"3","key":"4_CR8","doi-asserted-by":"publisher","first-page":"317","DOI":"10.1109\/TIP.2002.806242","volume":"12","author":"M Cazorla","year":"2003","unstructured":"Cazorla, M., Escolano, F.: Two bayesian methods for junction detection. IEEE Trans. Image Process. 12(3), 317\u2013327 (2003)","journal-title":"IEEE Trans. Image Process."},{"issue":"3","key":"4_CR9","doi-asserted-by":"publisher","first-page":"499","DOI":"10.1016\/S0893-6080(96)00094-9","volume":"10","author":"O De Wilde","year":"1997","unstructured":"De Wilde, O.: The magnitude of the diagonal elements in neural networks. Neural Networks 10(3), 499\u2013504 (1997)","journal-title":"Neural Networks"},{"issue":"3","key":"4_CR10","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1016\/S0893-6080(02)00032-1","volume":"15","author":"S Draghici","year":"2002","unstructured":"Draghici, S.: On the capabilities of neural networks using limited precision weights. Neural Networks 15(3), 395\u2013414 (2002)","journal-title":"Neural Networks"},{"key":"4_CR11","doi-asserted-by":"crossref","unstructured":"Feuring T.: Learning in fuzzy neural networks. In: IEEE International Conference on Neural Networks, vol. 2, pp. 1061\u20131066 (1996)","DOI":"10.1109\/ICNN.1996.549045"},{"key":"4_CR12","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1093\/comjnl\/7.2.149","volume":"7","author":"R Fletcher","year":"1964","unstructured":"Fletcher, R., Reeves, C.M.: Function minimization by conjugate gradients. Comput. J. 7, 149\u2013154 (1964)","journal-title":"Comput. J."},{"key":"4_CR13","doi-asserted-by":"crossref","unstructured":"Gaxiola, F., Melin, P., Valdez, F., Castillo, O.: Neural network with type-2 fuzzy weights adjustment for pattern recognition of the human iris biometrics. In: MICAI\u201912 Proceedings of the 11th Mexican International Conference on Advances in Computational Intelligence, vol. 2, pp. 259\u2013270 (2012)","DOI":"10.1007\/978-3-642-37798-3_23"},{"key":"4_CR14","doi-asserted-by":"crossref","unstructured":"Gaxiola, F., Melin, P., Valdez, F., Castillo, O.: Optimization of type-2 fuzzy weight for neural network using genetic algorithm and particle swarm optimization. In: 5th World Congress on Nature and Biologically Inspired Computing, pp. 22\u201328 (2013)","DOI":"10.1109\/NaBIC.2013.6617864"},{"key":"4_CR15","doi-asserted-by":"crossref","unstructured":"Gaxiola, F., Melin P., Valdez F.: Backpropagation method with type-2 fuzzy weight adjustment for neural network learning. In: Fuzzy Information Processing Society (NAFIPS), Annual Meeting of the North American, pp. 1\u20136 (2012)","DOI":"10.1109\/NAFIPS.2012.6291056"},{"key":"4_CR16","doi-asserted-by":"crossref","unstructured":"Gaxiola, F., Melin, P., Valdez, F.: Genetic optimization of type-2 fuzzy weight adjustment for backpropagation ensemble neural network. In: Recent Advances on Hybrid Intelligent Systems, pp. 159\u2013171 (2013)","DOI":"10.1007\/978-3-642-33021-6_13"},{"key":"4_CR17","doi-asserted-by":"crossref","unstructured":"Gaxiola, F., Melin, P., Valdez, F.: Neural network with lower and upper type-2 fuzzy weights using the backpropagation learning method. In: IFSA World Congress and NAFIPS Annual Meeting (IFSA\/NAFIPS), pp. 637\u2013642 (2013)","DOI":"10.1109\/IFSA-NAFIPS.2013.6608475"},{"issue":"4\u20135","key":"4_CR18","doi-asserted-by":"publisher","first-page":"617","DOI":"10.1016\/S0893-6080(99)00023-4","volume":"12","author":"T Gedeon","year":"1999","unstructured":"Gedeon, T.: Additive neural networks and periodic patterns. Neural Networks 12(4\u20135), 617\u2013626 (1999)","journal-title":"Neural Networks"},{"key":"4_CR19","first-page":"736","volume-title":"Neural Network Design","author":"MT Hagan","year":"1996","unstructured":"Hagan, M.T., Demuth, H.B., Beale, M.H.: Neural Network Design, p. 736. PWS Publishing, Boston (1996)"},{"key":"4_CR20","doi-asserted-by":"crossref","unstructured":"Hagras, H.: Type-2 fuzzy logic controllers: a way forward for fuzzy systems in real world environments. In: IEEE World Congress on Computational Intelligence, pp. 181\u2013200 (2008)","DOI":"10.1007\/978-3-540-68860-0_9"},{"key":"4_CR21","doi-asserted-by":"crossref","unstructured":"Ishibuchi, H., Morioka, K., Tanaka, H.: A fuzzy neural network with trapezoid fuzzy weights, fuzzy systems. In: IEEE World Congress on Computational Intelligence, vol. 1, pp. 228\u2013233 (1994)","DOI":"10.1109\/FUZZY.1994.343681"},{"key":"4_CR22","doi-asserted-by":"crossref","unstructured":"Ishibuchi, H., Tanaka, H., Okada, H.: Fuzzy neural networks with fuzzy weights and fuzzy biases. In: IEEE International Conference on Neural Networks, vol. 3, pp. 1650-1655 (1993)","DOI":"10.5687\/iscie.6.137"},{"key":"4_CR23","first-page":"614","volume-title":"Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence","author":"JSR Jang","year":"1997","unstructured":"Jang, J.S.R., Sun, C.T., Mizutani, E.: Neuro-Fuzzy and Soft Computing: A Computational Approach to Learning and Machine Intelligence, p. 614. Prentice Hall, Englewood Cliffs (1997)"},{"issue":"9","key":"4_CR24","doi-asserted-by":"publisher","first-page":"1285","DOI":"10.1016\/S0893-6080(99)00072-6","volume":"12","author":"S Kamarthi","year":"1999","unstructured":"Kamarthi, S., Pittner, S.: Accelerating neural network training using weight extrapolations. Neural Networks 12(9), 1285\u20131299 (1999)","journal-title":"Neural Networks"},{"issue":"1\u20134","key":"4_CR25","doi-asserted-by":"publisher","first-page":"89","DOI":"10.1016\/S0020-0255(99)00067-5","volume":"120","author":"N Karnik","year":"1999","unstructured":"Karnik, N., Mendel, J.: Applications of type-2 fuzzy logic systems to forecasting of time-series. Inf. Sci. 120(1\u20134), 89\u2013111 (1999)","journal-title":"Inf. Sci."},{"key":"4_CR26","first-page":"603","volume":"34","author":"G Martinez","year":"2006","unstructured":"Martinez, G., Melin, P., Bravo, D., Gonzalez, F., Gonzalez, M.: Modular neural networks and fuzzy sugeno integral for face and fingerprint recognition. Adv. Soft Comput. 34, 603\u2013618 (2006)","journal-title":"Adv. Soft Comput."},{"key":"4_CR27","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-24139-0","volume-title":"Modular Neural Networks and Type-2 Fuzzy Systems for Pattern Recognition","author":"P Melin","year":"2012","unstructured":"Melin, P.: Modular Neural Networks and Type-2 Fuzzy Systems for Pattern Recognition, pp. 1\u2013204. Springer, Berlin (2012)"},{"issue":"6","key":"4_CR28","doi-asserted-by":"publisher","first-page":"965","DOI":"10.1016\/0893-6080(95)00124-7","volume":"9","author":"M Meltser","year":"1996","unstructured":"Meltser, M., Shoham, M., Manevitz, L.: Approximating functions by neural networks: a constructive solution in the uniform norm. Neural Networks 9(6), 965\u2013978 (1996)","journal-title":"Neural Networks"},{"key":"4_CR29","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1016\/S0893-6080(05)80056-5","volume":"6","author":"MF Moller","year":"1993","unstructured":"Moller, M.F.: A scaled conjugate gradient algorithm for fast supervised learning. Neural Networks 6, 525\u2013533 (1993)","journal-title":"Neural Networks"},{"issue":"9","key":"4_CR30","doi-asserted-by":"publisher","first-page":"1265","DOI":"10.1016\/S0893-6080(01)00075-2","volume":"14","author":"MD Monirul Islam","year":"2001","unstructured":"Monirul Islam, M.D., Murase, K.: A new algorithm to design compact two-hidden-layer artificial neural networks. Neural Networks 14(9), 1265\u20131278 (2001)","journal-title":"Neural Networks"},{"issue":"3","key":"4_CR31","doi-asserted-by":"publisher","first-page":"375","DOI":"10.1016\/S0893-6080(02)00023-0","volume":"15","author":"RS Neville","year":"2002","unstructured":"Neville, R.S., Eldridge, S.: Transformations of sigma\u2013pi nets: obtaining reflected functions by reflecting weight matrices. Neural Networks 15(3), 375\u2013393 (2002)","journal-title":"Neural Networks"},{"issue":"3","key":"4_CR32","doi-asserted-by":"publisher","first-page":"505","DOI":"10.1109\/72.286925","volume":"5","author":"VV Phansalkar","year":"1994","unstructured":"Phansalkar, V.V., Sastry, P.S.: Analysis of the back-propagation algorithm with momentum. IEEE Trans. Neural Networks 5(3), 505\u2013506 (1994)","journal-title":"IEEE Trans. Neural Networks"},{"key":"4_CR33","doi-asserted-by":"publisher","first-page":"241","DOI":"10.1007\/BF01593790","volume":"12","author":"MJD Powell","year":"1977","unstructured":"Powell, M.J.D.: Restart procedures for the conjugate gradient method. Math. Program. 12, 241\u2013254 (1977)","journal-title":"Math. Program."},{"key":"4_CR34","doi-asserted-by":"crossref","unstructured":"Salazar, P.A., Melin, P., Castillo, O.: A new biometric recognition technique based on hand geometry and voice using neural networks and fuzzy logic. In: Soft Computing for Hybrid Intelligent Systems, pp. 171\u2013186 (2008)","DOI":"10.1007\/978-3-540-70812-4_10"},{"key":"4_CR35","doi-asserted-by":"crossref","unstructured":"Sep\u00falveda, R., Castillo, O., Melin, P. Montiel, O.: An efficient computational method to implement type-2 fuzzy logic in control applications. In: Analysis and Design of Intelligent Systems using Soft Computing Techniques, pp. 45\u201352 (2007)","DOI":"10.1007\/978-3-540-72432-2_6"},{"issue":"1\u20134","key":"4_CR36","doi-asserted-by":"publisher","first-page":"219","DOI":"10.1016\/S0925-2312(99)00127-7","volume":"30","author":"J Yam","year":"2000","unstructured":"Yam, J., Chow, T.: A weight initialization method for improving training speed in feedforward neural network. Neurocomputing 30(1\u20134), 219\u2013232 (2000)","journal-title":"Neurocomputing"},{"issue":"19","key":"4_CR37","doi-asserted-by":"publisher","first-page":"3199","DOI":"10.1016\/j.ins.2009.06.001","volume":"179","author":"D Yeung","year":"2009","unstructured":"Yeung, D., Chan, P., Ng, W.: Radial basis function network learning using localized generalization error bound. Inf. Sci. 179(19), 3199\u20133217 (2009)","journal-title":"Inf. Sci."}],"container-title":["Studies in Computational Intelligence","Recent Advances on Hybrid Approaches for Designing Intelligent Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-05170-3_4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,5,2]],"date-time":"2025-05-02T04:53:09Z","timestamp":1746161589000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-05170-3_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"ISBN":["9783319051697","9783319051703"],"references-count":37,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-05170-3_4","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2014]]},"assertion":[{"value":"27 March 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}