Abstract
This paper presents a hybrid multi-objective genetic fuzzy algorithm for the variable-selection problem in spectroscopy. The problem formulation considers three fitness functions related to linear equations system stability. These fitness functions are models with fuzzy sets that evaluate the fitness solution for pick out the best to crossover. The population diversity is obtained applying the crowding distance method. The study shows that the selection by a fuzzy decision has better results than the selection by non-domination in problems where the fitness weighing is more proper than no-domination solutions.
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References
Augugliaro, A., Dusonchet, L., Riva Sanseverino, E.: Multiobjective service restoration in distribution networks using an evolutionary approach and fuzzy sets. Electrical Power and Energy Systems 22(2), 103–110 (2000)
Deb, K.: Multi-objective optimization using evolutionary algorithms. John Wiley and Sons, Ltd. (2001)
Goldberg, D.E.: Genetic algorithms in search, optimization, and machine learning. Addison-Wesley Publishing Company, Inc., Reading (1989)
Guy, R.H., Hostynek, J.J., Hinz, R.S., Lorence, C.R.: Metals and the skin. Marcel Dekker Incorporated (1999)
Hsiao, Y.-T., Chien, C.-Y.: Enhancement of restoration service in distribution systems using a combination fuzzy-ga method. IEEE Transactions on Power Systems 15(4), 1394–1400 (2000)
Naes, T., Mevik, B.H.: Understanding the collinearity problem in regression and discriminant analysis. Journal of Chemometrics 15(4), 413–426 (2001)
Schaffer, J.D.: Multiple objective optimization with vector evaluated genetic algorithms. In: Genetic Algorithms and their Applications: Proceedings of the First International Conference on Genetic Algorithms, pp. 93–100. Lawrence Erlbaum (1985)
Skoog, D.A.: Princpios de anlise instrumental. Bookman (2002)
Srinivas, N., Deb, K.: Multiobjective Optimization Using Nondominated Sorting in Genetic Algorithms. Evolutionary Computation 2(3), 221–248 (1994)
Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)
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de Lima, T.W., da Silva Soares, A., Coelho, C.J., Salvini, R.L., Laureano, G.T. (2013). Hybrid Genetic-Fuzzy Algorithm for Variable Selection in Spectroscopy. In: Rutkowski, L., Korytkowski, M., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artificial Intelligence and Soft Computing. ICAISC 2013. Lecture Notes in Computer Science(), vol 7895. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38610-7_3
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DOI: https://doi.org/10.1007/978-3-642-38610-7_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-38609-1
Online ISBN: 978-3-642-38610-7
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