Cost and Land Functions for Wastewater Treatment Projects: Typical Simple Linear Regression versus Fuzzy Linear Regression
Publication: Journal of Environmental Engineering
Volume 133, Issue 6
Abstract
This paper analyzes cost data pertinent to the municipal wastewater treatment plants (MWTP) in Greece. First, data have been collected with onsite visits and contain the land size necessary for a MWTP, the construction cost, and the operation and maintenance cost of existing wastewater treatment facilities. Second, they come from analytical budgeting of natural wastewater treatment system units. Twelve equations of the form are estimated both with ordinary least squares (OLS) and fuzzy linear regression (FLR). The root mean square error and the mean absolute error are used as fitting measures for the comparison of the OLS with the fuzzy estimations. It is shown that the FLR did produce very similar estimates but slightly inferior to those of OLS in most of the cases for these particular datasets.
Get full access to this article
View all available purchase options and get full access to this article.
References
Carrasco, E. F., Rodríguez, J., Puñal, A., Roca, E., and Lema, J. M. (2004). “Diagnosis of acidification states in an anaerobic wastewater treatment plant using a fuzzy-based expert system.” Control Eng. Pract., 12(1), 59–64.
Chen, H. W., and Chang, N. B. (2002). “A comparative analysis of methods to represent uncertainty in estimating the cost of constructing wastewater treatment plants.” J. Environ. Manage., 65(4), 383–409.
Ministry of Environment Physical Planning and Public Works (MPPPW). (2005). “Detailed pricelist for public projects. General secretariat of public projects.” ⟨www. ggde.gr/ggde/el/analitika_timologia.jsp?cat=35⟩ (March 3, 2005).
Papadopoulos, B. K., and Sirpi, M. (1999). “Similarities in fuzzy regression models.” J. Optim. Theory Appl., 102(2), 373–383.
Papadopoulos, B. K., and Sirpi, M. (2004). “Similarities and distances in fuzzy regression modelling.” Soft Comput., 8(8), 556–561.
Porter, A., Sadek, A., and Hayden, N. (2006). “Fuzzy geographic information systems for phytoremediation plant selection.” J. Environ. Eng., 132(1), 120–128.
Sadiq, R., Al-Zahrani, M. A., Sheikh, A. K., Husain, T., and Farooq, S. (2004). “Performance evaluation of slow sand filters using fuzzy rule-based modelling.” Environ. Modell. Software, 19, 507–515.
Seo, S., Aramaki, T., Hwang, Y., and Hanaki, K. (2003). “Evaluation of solid waste management system using fuzzy composition.” J. Environ. Eng., 129(6), 520–531.
Tanaka, H. (1987). “Fuzzy data analysis by possibilistic linear models.” Fuzzy Sets Syst., 24(3), 363–376.
Tanaka, H., Uejima, S., and Asai, K. (1982). “Linear fuzzy regression analysis with fuzzy models.” IEEE Trans. Syst. Man Cybern., 12, 903–907.
Tay, J. H., and Zhang, X. (2000). “Stability of high-rate anaerobic systems II: Fuzzy stability index.” J. Environ. Eng., 126(8), 726–731.
Tsagarakis, K. P., Mara, D. D., and Angelakis, A. N. (2003). “Application of cost criteria for selection of municipal wastewater treatment systems.” Water, Air, Soil Pollut., 142(1–4), 187–210.
Wen, C. G., and Lee, C. S. (1999). “Development of a cost function for wastewater treatment systems with fuzzy regression.” Fuzzy Sets Syst., 106, 143–153.
Woldt, W. E., Dvorak, B. I., and Dahab, M. F. (2003). “Application of fuzzy set theory to industrial pollution prevention: Production system modeling and life cycle assessment.” Soft Comput., 7(6), 419–433.
Information & Authors
Information
Published In
Copyright
© 2007 ASCE.
History
Received: Jan 31, 2006
Accepted: Nov 16, 2006
Published online: Jun 1, 2007
Published in print: Jun 2007
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.