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2017 | OriginalPaper | Chapter

Non-linear Based Fuzzy Random Regression for Independent Variable Selection

Authors : Mohd Zaki Mohd Salikon, Nureize Arbaiy

Published in: Recent Advances on Soft Computing and Data Mining

Publisher: Springer International Publishing

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Abstract

This paper demonstrates a fuzzy random regression approach using genetic algorithm (FRR-GA) to select independent variable for regression model. The FRR-GA approach enables us to indicate the best coefficient values among regressor that indicate the best independent variable, which is important to build regression model. Additionally, the fuzzy random regression approach is employed to treat dual uncertainties due to the realization of such data in real application. This paper presents an algorithm reflecting the non-linear strategy in the fuzzy random regression model. A numerical example illustrates the proposed solution procedure whereby the result suggested several feasible solutions to the user.

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Literature
1.
go back to reference Abiyev, R.H., Aliev, R., Kaynak, O., Turksen, I.B., Bonfig, K.W.: Fusion of computational intelligence techniques and their practical applications. Comput. Intell. Neurosci. 2015, 463147:1–463147:3 (2015)CrossRef Abiyev, R.H., Aliev, R., Kaynak, O., Turksen, I.B., Bonfig, K.W.: Fusion of computational intelligence techniques and their practical applications. Comput. Intell. Neurosci. 2015, 463147:1–463147:3 (2015)CrossRef
2.
go back to reference Stewart, T.J., Durbach, I.: Dealing with uncertainties in MCDA. In: Multiple Criteria Decision Analysis, pp. 467–496. Springer, New York (2016) Stewart, T.J., Durbach, I.: Dealing with uncertainties in MCDA. In: Multiple Criteria Decision Analysis, pp. 467–496. Springer, New York (2016)
3.
go back to reference Dubois, D., Prade, H.: Possibility theory and its applications: where do we stand? In: Kacprzyk, J., Pedrycz, W. (eds.) Springer Handbook of Computational Intelligence, pp. 31–60. Springer, Heidelberg (2015)CrossRefMATH Dubois, D., Prade, H.: Possibility theory and its applications: where do we stand? In: Kacprzyk, J., Pedrycz, W. (eds.) Springer Handbook of Computational Intelligence, pp. 31–60. Springer, Heidelberg (2015)CrossRefMATH
4.
go back to reference Scholten, L., Schuwirth, N., Reichert, P., Lienert, J.: Tackling uncertainty in multi-criteria decision analysis–an application to water supply infrastructure planning. Eur. J. Oper. Res. 242(1), 243–260 (2015)CrossRef Scholten, L., Schuwirth, N., Reichert, P., Lienert, J.: Tackling uncertainty in multi-criteria decision analysis–an application to water supply infrastructure planning. Eur. J. Oper. Res. 242(1), 243–260 (2015)CrossRef
5.
go back to reference Arbaiy, N.: Fuzzy regression for weight information extraction in fuzzy environment. In: Knowledge Management International Conference (KMICe) (2014) Arbaiy, N.: Fuzzy regression for weight information extraction in fuzzy environment. In: Knowledge Management International Conference (KMICe) (2014)
6.
go back to reference Arbaiy, N., Watada, J., Lin, P.C.: Fuzzy random regression-based modeling in uncertain environment. In: Sustaining Power Resources through Energy Optimization and Engineering, p. 127 (2016) Arbaiy, N., Watada, J., Lin, P.C.: Fuzzy random regression-based modeling in uncertain environment. In: Sustaining Power Resources through Energy Optimization and Engineering, p. 127 (2016)
7.
go back to reference Griffiths, T.L., Tenenbaum, J.B.: Predicting the future as Bayesian inference: people combine prior knowledge with observations when estimating duration and extent. J. Exp. Psychol. 140(4), 725–743 (2011)CrossRef Griffiths, T.L., Tenenbaum, J.B.: Predicting the future as Bayesian inference: people combine prior knowledge with observations when estimating duration and extent. J. Exp. Psychol. 140(4), 725–743 (2011)CrossRef
8.
go back to reference Sykes, A.O.: An introduction to regression analysis (1993) Sykes, A.O.: An introduction to regression analysis (1993)
9.
go back to reference Watada, J., Wang, S., Pedrycz, W.: Building confidence interval-based fuzzy random regression model. IEEE Trans. Fuzzy Syst. 11(6), 1273–1283 (2009)CrossRef Watada, J., Wang, S., Pedrycz, W.: Building confidence interval-based fuzzy random regression model. IEEE Trans. Fuzzy Syst. 11(6), 1273–1283 (2009)CrossRef
10.
go back to reference Nureize, A., Watada, J.: Building fuzzy random objective function for interval fuzzy goal programming. In: Proceedings of IEEE International Conference on Industrial Engineering and Engineering Management, pp. 980–984 (2010) Nureize, A., Watada, J.: Building fuzzy random objective function for interval fuzzy goal programming. In: Proceedings of IEEE International Conference on Industrial Engineering and Engineering Management, pp. 980–984 (2010)
11.
go back to reference Oreski, S., Oreski, G.: Genetic algorithm-based heuristic for feature selection in credit risk assessment. Expert Syst. Appl. 41(4), 2052–2064 (2014)CrossRef Oreski, S., Oreski, G.: Genetic algorithm-based heuristic for feature selection in credit risk assessment. Expert Syst. Appl. 41(4), 2052–2064 (2014)CrossRef
12.
go back to reference Aydilek, I.B., Arslan, A.: A hybrid method for imputation of missing values using optimized fuzzy c-means with support vector regression and a genetic algorithm. Inf. Sci. 233, 25–35 (2013)CrossRef Aydilek, I.B., Arslan, A.: A hybrid method for imputation of missing values using optimized fuzzy c-means with support vector regression and a genetic algorithm. Inf. Sci. 233, 25–35 (2013)CrossRef
13.
go back to reference Nureize, A., Watada, J.: Multi-level multi-objective decision problem through fuzzy random regression based objective function. In: Fuzzy Systems (FUZZ) (2011) Nureize, A., Watada, J.: Multi-level multi-objective decision problem through fuzzy random regression based objective function. In: Fuzzy Systems (FUZZ) (2011)
14.
go back to reference Liu, B., Liu, Y.-K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 10(4), 445–450 (2002)CrossRef Liu, B., Liu, Y.-K.: Expected value of fuzzy variable and fuzzy expected value models. IEEE Trans. Fuzzy Syst. 10(4), 445–450 (2002)CrossRef
15.
17.
go back to reference Guo, H., Wang, X.: Variance of uncertain random variables. J. Uncertainty Anal. Appl. 2(1), 1 (2014) Guo, H., Wang, X.: Variance of uncertain random variables. J. Uncertainty Anal. Appl. 2(1), 1 (2014)
19.
go back to reference González-Rodríguez, G., Blanco, Á., Colubi, A., Lubiano, M.A.: Estimation of a simple linear regression model for fuzzy random variables. Fuzzy Sets Syst. 160(3), 357–370 (2009)MathSciNetCrossRefMATH González-Rodríguez, G., Blanco, Á., Colubi, A., Lubiano, M.A.: Estimation of a simple linear regression model for fuzzy random variables. Fuzzy Sets Syst. 160(3), 357–370 (2009)MathSciNetCrossRefMATH
20.
go back to reference Dasgupta, D., Michalewicz, Z. (eds.): Evolutionary Algorithms in Engineering Applications. Springer, Heidelberg (2013) Dasgupta, D., Michalewicz, Z. (eds.): Evolutionary Algorithms in Engineering Applications. Springer, Heidelberg (2013)
21.
go back to reference Hoque, M.S., Mukit, M., Bikas, M., Naser, A.: An implementation of intrusion detection system using genetic algorithm (2012). arXiv preprint arXiv:1204.1336 Hoque, M.S., Mukit, M., Bikas, M., Naser, A.: An implementation of intrusion detection system using genetic algorithm (2012). arXiv preprint arXiv:​1204.​1336
22.
go back to reference Melanie, M.: An Introduction to Genetic Algorithms. A Bradford Book. The MIT Press, Cambridge (1999). Fifth printingMATH Melanie, M.: An Introduction to Genetic Algorithms. A Bradford Book. The MIT Press, Cambridge (1999). Fifth printingMATH
23.
go back to reference Fahmi, Z., Samah, B.A., Abdullah, H.: Paddy industry and paddy farmers well-being: a success recipe for agriculture industry in Malaysia. Asian Soc. Sci. 9(3), 177 (2013)CrossRef Fahmi, Z., Samah, B.A., Abdullah, H.: Paddy industry and paddy farmers well-being: a success recipe for agriculture industry in Malaysia. Asian Soc. Sci. 9(3), 177 (2013)CrossRef
24.
go back to reference Daño, E.C., Samonte, E.D.: Public sector intervention in the rice industry in Malaysia. State intervention in the rice sector in selected countries: Implications for the Philippines (2005) Daño, E.C., Samonte, E.D.: Public sector intervention in the rice industry in Malaysia. State intervention in the rice sector in selected countries: Implications for the Philippines (2005)
Metadata
Title
Non-linear Based Fuzzy Random Regression for Independent Variable Selection
Authors
Mohd Zaki Mohd Salikon
Nureize Arbaiy
Copyright Year
2017
DOI
https://doi.org/10.1007/978-3-319-51281-5_19

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