Abstract
Determining the coefficient value is important to measure relationship in algebraic expression and to build a mathematical model though it is complex and troublesome. Additionally, providing precise value for the coefficient is difficult when it deals with fuzzy information and the existence of random information increase the complexity of deciding the coefficient. Hence, this paper proposes a fuzzy random regression method to estimate the coefficient values for which statistical data contains simultaneous fuzzy random information. A numerical example illustrates the proposed solution approach whereby coefficient values are successfully deduced from the statistical data and the fuzziness and randomness were treated based on the property of fuzzy random regression. The implementation of the fuzzy random regression method shows the significant capabilities to estimate the coefficient value to further improve the model setting of production planning problem which retain simultaneous uncertainties.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Smith, T.F., Waterman, M.S.: Identification of Common Molecular Subsequences. J. Mol. Biol. 147, 195–197 (1981)
May, P., Ehrlich, H.C., Steinke, T.: ZIB Structure Prediction Pipeline: Composing a Complex Biological Workflow through Web Services. In: Nagel, W.E., Walter, W.V., Lehner, W. (eds.) Euro-Par 2006. LNCS, vol. 4128, pp. 1148–1158. Springer, Heidelberg (2006)
Foster, I., Kesselman, C.: The Grid: Blueprint for a New Computing Infrastructure. Morgan Kaufmann, San Francisco (1999)
Czajkowski, K., Fitzgerald, S., Foster, I., Kesselman, C.: Grid Information Services for Distributed Resource Sharing. In: 10th IEEE International Symposium on High Performance Distributed Computing, pp. 181–184. IEEE Press, New York (2001)
Foster, I., Kesselman, C., Nick, J., Tuecke, S.: The Physiology of the Grid: an Open Grid Services Architecture for Distributed Systems Integration. Technical report, Global Grid Forum (2002)
National Center for Biotechnology Information, http://www.ncbi.nlm.nih.gov , Montgomery, D.C., Peck, E.A., Vining, G.G.: Introduction to linear regression analysis, vol. 821. Wiley (2012)
Griffiths, T.L., Tenenbaum, J.B.: Predicting the future as Bayesian inference: People combine priorknowledge with observations when estimating duration and extent 140(4), 725–743 (2011)
Cave, W.C.: Prediction Theory for Control System (2011)
Yang, M.S., Ko, C.H.: On cluster-wise fuzzy regression analysis. IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics 27(1), 1–13 (1997)
González-Rodríguez, G., Blanco, Á., Colubi, A., Lubiano, M.A.: Estimation of a simple linear regression model for fuzzy random variables. Fuzzy Sets and Systems 160(3), 357–370 (2009)
Watada, J.: Building models based on environment with hybrid uncertainty. In: 2011 4th International Conference on Modeling, Simulation and Applied Optimization (ICMSAO), pp. 1–10. IEEE (April 2011)
Nureize, A., Watada, J.: Multi-level multi-objective decision problem through fuzzy random regression based objective function. In: 2011 IEEE International Conference on Fuzzy Systems (FUZZ), pp. 557–563. IEEE (June 2011)
Watada, J., Wang, S., Pedrycz, W.: Building confidence-interval-based fuzzy random regression models. IEEE Transactions on Fuzzy Systems 17(6), 1273–1283 (2009)
Näther, W.: Regression with fuzzy random data. Computational Statistics & Data Analysis 51(1), 235–252 (2006)
Kwakernaak: Fuzzy random variables—I. Definitions and Theorems. Information Sciences 15(1), 1–29 (1978)
Market Watch 2012. The Rubber Sector in Malaysia, http://www.malaysia.ahk.de (retrieved October 22, 2013)
Malaysian Investment Development Authority. Rubber-based industry, http://www.mida.gov.my (retrieved on October 10, 2013)
Malaysian Rubber Export Promotion Council, http://www.mrepc.gov.my (retrieved on October 10, 2013)
Malaysian Rubber Board.Natural Rubber Statistic, http://www.lgm.gov.my (retrieved September 1, 2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 Springer International Publishing Switzerland
About this paper
Cite this paper
Arbaiy, N., Rahman, H.M. (2014). Fuzzy Random Regression to Improve Coefficient Determination in Fuzzy Random Environment. In: Herawan, T., Ghazali, R., Deris, M. (eds) Recent Advances on Soft Computing and Data Mining. Advances in Intelligent Systems and Computing, vol 287. Springer, Cham. https://doi.org/10.1007/978-3-319-07692-8_20
Download citation
DOI: https://doi.org/10.1007/978-3-319-07692-8_20
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07691-1
Online ISBN: 978-3-319-07692-8
eBook Packages: EngineeringEngineering (R0)