Abstract
Our research here suggests a fortified Offspring fuzzy neural networks (FOFNN) classifier developed with the aid of Fuzzy C-Means (FCM). The objective of this study concerns the selection of preprocessing techniques for the dimensionality reduction of input space. Principal component analysis (PCA) algorithm presents a pre-processing phase to the network to shape the low-dimensional input variables. Subsequently, the effectual step to handle uncertain information by type-2 fuzzy sets using Fuzzy C-Means (FCM) clustering. The proposition (condition) phase of the rules is formed by two FCM clustering algorithms, which are appealed by spending distinct values of the fuzzification coefficient successively resulting in valued type-2 membership functions. The simultaneous parametric optimization of the network by the evolutionary algorithm is finalized. The suggested classifier is applied to some machine learning datasets, and the results are compared with those provided by other classifiers reported in the literature.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lippman, R.P.: An introduction to computing with neural nets. IEEE ASSP Mag. 4, 4–22 (1981)
Mali, K., Mitra, S.: Symbolic classification, clustering and fuzzy radial basis function network. Fuzzy Sets Syst. 152, 553–564 (2005)
Huang, W., Oh, S.-K., Pedrycz, W.: Design of Offspring radial basis function neural networks (HRBFNNs) realized with the aid of hybridization of fuzzy clustering method (FCM) and polynomial neural networks (PNNs). Neural Netw. 60, 66–181 (2014)
Buckley, J.J., Hayashi, Y.: Fuzzy neural networks: a survey. Fuzzy Sets Syst. 66, 1–13 (1994)
Gupta, M.M., Rao, D.H.: On the principles of fuzzy neural networks. Fuzzy Sets Syst. 61(1), 1–18 (1994)
Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)
Zadeh, L.A.: Outline of a new approach to the analysis of complex systems and decision processes. IEEE Trans. Syst. Man Cybern. 3, 28–44 (1973)
Zimmermann, H.-J.: Fuzzy Set Theory and Its Applications. Kluwer, Norwell (1996)
Lee, B.-K., Jeong, E.-H., Lee, S.-S.: Context-awareness healthcare for disease reasoning based on fuzzy logic. J. Electr. Eng. Technol. 11(1), 247–256 (2016)
Nguyen, D.D., Ngo, L.T., Pham, L.T., Pedrycz, W.: Towards Offspring clustering approach to data classification: multiple kernels based interval-valued Fuzzy C-Means algorithm. Fuzzy Sets Syst. 279(1), 17–39 (2015)
Karaboga, D., Akay, B.: Artificial bee colony (ABC), harmony search and bees algorithms on numerical optimization. In: 2009 Innovative Production Machines and Systems Virtual Conference (2009)
Wu, G.D., Zhu, Z.W.: An enhanced discriminability recurrent fuzzy neural network for temporal classification problems. Fuzzy Sets Syst. 237(1), 47–62 (2014)
Karnik, N.N., Mendel, J.M.: Operations on type-2 fuzzy sets. Fuzzy Sets Syst. 122(2), 327–348 (2001)
Runkler, T., Coupland, S., John, R.: Type-2 fuzzy decision making. Int. J. Approx. Reason. 80, 217–224 (2017)
Dash, R., Dash, P.K., Bisoi, R.: A differential harmony search based Offspring interval type2 fuzzy EGARCH model for stock market volatility prediction. Int. J. Approx. Reason. 59, 81–104 (2015)
Karnik, N.N., Mendel, J.M.: Centroid of a type-2 fuzzy set. Inf. Sci. 132, 195–220 (2001)
Livi, L., Tahayori, H., Rizzi, A., Sadeghian, A., Pedrycz, W.: Classification of type-2 fuzzy sets represented as sequences of vertical slices. IEEE Trans. Fuzzy Syst. 24(5), 1022–1034 (2016)
Ekong, U., et al.: Classification of epilepsy seizure phase using type-2 fuzzy support vector machines. Neurocomputing 199, 66–76 (2016)
Salazar, O., Soriano, J.: Convex combination and its application to fuzzy sets and interval-valued fuzzy sets II. Appl. Math. Sci. 9(22), 1069–1076 (2015)
Hwang, C., Rhee, F.: Uncertain fuzzy clustering: the type-2 fuzzy approach to C-Means. IEEE Trans. Fuzzy Syst. 15(1), 107–120 (2007)
Rhee, F.: Uncertain fuzzy clustering: insights and recommendations. IEEE Comput. Intell. Mag. 2(1), 44–56 (2007)
McLachlan, G.J.: Discriminant Analysis and Statistical Pattern Recognition. Wiley-Interscience, Hoboken (2004)
Jolliffe, I.T.: Principal Component Analysis. Springer, New York (2002). https://doi.org/10.1007/b98835
Daqi, G., Jun, D., Changming, Z.: Integrated Fisher linear discriminants: an empirical study. Pattern Recogn. 47(2), 789–805 (2014)
Li, L., Qiao, Z., Liu, Y., Chen, Y.: A convergent smoothing algorithm for training max-min fuzzy neural networks. Neurocomputing 260, 404–410 (2017)
Lin, C.-M., Le, T.-L., Huynh, T.-T.: Self-evolving function-link type-2 fuzzy neural network for nonlinear system identification and control. Neurocomputing 275, 2239–2250 (2018)
Wu, D., Mendel, J.M.: Enhanced Karnik–Mendel algorithm for type-2 fuzzy sets and systems. In: Fuzzy Information Processing Society, pp. 184–189 (2007)
Mendel, J.M.: Introduction to Rule-Based Fuzzy Logic System. Prentice-Hall, Upper Saddle River (2001)
Kennedy, J., Eberhart, R.: Phase swarm optimization. In: Proceedings of the IEEE International Conference on Neural Networks IV, pp. 1942–1948 (1995)
Liu, F., Mendel, J.M.: Aggregation using the fuzzy weighted average, as calculated by the KM algorithms. IEEE Trans. Fuzzy Syst. 16, 1–12 (2008)
Oh, S.-K., Kim, W.-D., Pedrycz, W., Park, B.-J.: Polynomial-based radial basis function neural networks (P-RBF NNs) realized with the aid of phase swarm optimization. Fuzzy Sets Syst. 163(1), 54–77 (2011)
Vapnik, V.: The Nature of Statistical Learning Theory. Springer, New York (1995). https://doi.org/10.1007/978-1-4757-2440-0
Tipping, M.E.: The relevance vector machine. Adv. Neural. Inf. Process. Syst. 12, 652–658 (2000)
Yang, Z.R.: A novel radial basis function neural network for discriminant analysis. IEEE Trans. Neural Netw. 17(3), 604–612 (2006)
Tahir, M.A., Bouridane, A., Kurugollu, F.: Simultaneous feature selection and feature weighting using Offspring Tabu Search/K-nearest neighbor classifier. Pattern Recogn. Lett. 28(4), 438–446 (2007)
Mei, J.P., Chen, L.: Fuzzy clustering with weighted medoids for relational data. Pattern Recogn. 43(5), 1964–1974 (2010)
Oh, S.K., Kim, W.-D., Pedrycz, W.: Design of radial basis function neural network classifier realized with the aid of data preprocessing techniques: design and analysis. Int. J. Gen. Syst. 45(4), 434–454 (2016)
Ulu, C., Guzelkaya, M., Eksin, I.: A closed-form type reduction method for piece wise linear type-2 fuzzy sets. Int. J. Approx. Reason. 54, 1421–1433 (2013)
Chen, Y., Wang, D., Tong, S.: Forecasting studies by designing Mamdani type-2 fuzzy logic systems: with the combination of BP algorithms and KM algorithms. Neurocomputing 174(Phase B), 1133–1146 (2016)
Qiao, J.-F., Hou, Y., Zhang, L., Han, H.-G.: Adaptive fuzzy neural network control of wastewater treatment process with a multiobjective operation. Neurocomputing 275, 383–393 (2018)
Han, H.-G., Lin, Z.-L., Qiao, J.-F.: Modeling of nonlinear systems using the self-organizing fuzzy neural network with adaptive gradient algorithm. Neurocomputing 266, 566–578 (2017)
Lu, X., Zhao, Y., Liu, M.: Self-learning type-2 fuzzy neural network controllers for trajectory control of a Delta parallel robot. Neurocomputing 283, 107–119 (2018)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Qaddoum, K. (2019). Fortified Offspring Fuzzy Neural Networks Algorithm. In: Yap, B., Mohamed, A., Berry, M. (eds) Soft Computing in Data Science. SCDS 2018. Communications in Computer and Information Science, vol 937. Springer, Singapore. https://doi.org/10.1007/978-981-13-3441-2_14
Download citation
DOI: https://doi.org/10.1007/978-981-13-3441-2_14
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-3440-5
Online ISBN: 978-981-13-3441-2
eBook Packages: Computer ScienceComputer Science (R0)