Application of Entropy Weight Technique in Grey Relational Analysis for Scheme Optimization of Sewage Treatment Plant

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In this paper, an attempt has been made to apply an efficient technique, in order to solve the uncertainty of multi-objective optimization, in the field of sewage treatment plant. The traditional grey relational analysis has been extended to deal with the multi-objective optimization problems. The difficulty of traditional grey relational analysis exists in calculation of the multiple indicators and ignorance of the relationship among evaluating indicators. But there is no specific guideline for assigning these indicator weights. In this context, the present study aims to apply the entropy measurement technique in order to determine the weights of evaluating indicators, which avoids the subjectivity in the process of estimating the weights. The proposed method involves four steps, including 1) original data processing, 2) grey relational coefficients calculation, 3) indicator weight calculation, and 4) grey relation grade calculations. The previously mentioned method has been applied to optimize schemes of a sewage treatment plant. The paper demonstrates a detailed methodology of the proposed technique as well as its effectiveness and applicability.

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Advanced Materials Research (Volumes 199-200)

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1722-1728

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February 2011

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© 2011 Trans Tech Publications Ltd. All Rights Reserved

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[1] Hall DL, Nauda A. An interactive method for selecting IR&D projects. IEEE Trans Eng Manage; 37(2) (1990): pp.126-33.

DOI: 10.1109/17.53715

Google Scholar

[2] Martino J P. Research and development project selection. New York: Wiley(1995).

Google Scholar

[3] ELL IS KV, TANG S L. Wastewater treatment optimization model for developing world. I: Model development [J]. Journal of Environmental Engineering Division, ASCE, 117(1991): pp.501-581.

Google Scholar

[4] ELL IS KV, TANG S L. Wastewater treatment optimization model for development world. II: Model testing [J]. Journal of Environmental Engineering Division, ASCE, 120(1994): pp.610-624.

DOI: 10.1061/(asce)0733-9372(1994)120:3(610)

Google Scholar

[5] LIN M, HANG S J. The application of fuzzy decision–making method in the process alternatives of municipal wastewater treatment plant [J]. Water and Wastewater Engineering, 24(3)(1998): pp.6-9. (In Chinese).

Google Scholar

[6] ZENG GM, JIANG R, HUANG GH, et al. Optimization of wastewater treatment alternatives selection by hierarchy grey relational analysis[J]. Journal of Environmental Management, 82(2007): pp.250-259.

DOI: 10.1016/j.jenvman.2005.12.024

Google Scholar

[7] WANGL L, ZENG GM, HUANG GH, et al. Study on multi-objective programming for wastewater treatment in small region[J]. Environmental Engineering, 22(6)(2004): pp.88-89. (In Chinese).

Google Scholar

[8] J.L. Deng. The introduction of grey system. The Journal of Grey System, 1(1) (1989): pp.1-24.

Google Scholar

[9] Chang NB, Wang SF. A grey nonlinear programming method for planning coastal wastewater treatment and disposal systems [J]. Water Sci &Technol; 32(2) (1995): pp.19-29.

DOI: 10.1016/0273-1223(95)00565-5

Google Scholar

[10] Huang GH, Baetz BW, Patry GG. Grey integer programming: an application to waste management planning under uncertainty [J]. Eur J Oper Res 1995; 83(1995): pp.594-620.

DOI: 10.1016/0377-2217(94)00093-r

Google Scholar

[11] Huang GH, Baetz BW, Patry GG. A response to 'a comment on 'Grey integer programming: an application to waste management planning under uncertainty' by Larry Jenkins', [J]. Eur J Oper Res; 100(3) (1997): pp.638-642.

DOI: 10.1016/s0377-2217(97)00081-7

Google Scholar

[12] J.J. Zhang D.S. Wu,D.L. Olson. The method of grey related analysis to multiple attribute decision making problems with interval numbers[J]. Mathematical and Computer Modeling, 42(9-10)(2005), pp.991-998.

DOI: 10.1016/j.mcm.2005.03.003

Google Scholar

[13] M.F. Chen G.H. Tzeng. Combining grey relation and TPOSIS concepts for selecting an expatriate host country[J]. Mathematical and Computer Modeling, 40(13)(2004), pp.1473-1490.

DOI: 10.1016/j.mcm.2005.01.006

Google Scholar

[14] Ming-Lang Tseng. Using linguistic preferences and grey relational analysis to evaluate the environmental knowledge management capacity [J]. Expert Systems with Applications, 37(2010): pp.70-81.

DOI: 10.1016/j.eswa.2009.05.020

Google Scholar

[15] W.C. Ip ,B.Q. Hu, H. Wong, J. Xia. Applications of grey relational method to river environment quality evaluation in China[J]. Journal of Hydrology, 379 (2009): pp.284-290.

DOI: 10.1016/j.jhydrol.2009.10.013

Google Scholar

[16] Chen, H., Chang, N. Prediction analysis of solid waste generation based on gray fuzzy dynamic modeling[J]. Resour. Conserv. Recycl. 29 (2000), pp.1-18.

Google Scholar

[17] Shannon C E. A Mathematical Theory of Communication [J]. Bell System Technical Journal, 27(3) (1948): pp.379-423.

Google Scholar

[18] Cheng T, Zhang C X. Application of fuzzy AHP based on entropy weight to site selection of solid sanitary landfill[J]. Environmental and Sanitary Engineering, 12(2)(2003): pp.64-67. (in Chinese).

Google Scholar

[19] Xu S Q, Hu Z G, Liu Q, et al. Multi-objective decision analysis of diversion standards based on entropy [J]. China Rural Water and Hydropower, (8)(2004): pp.45-47. (in Chinese).

Google Scholar

[20] Wen KL, Chang TC, You ML. The grey entropy and its application in welding analysis. IEEE International Conference on Systems, Man, and Cybernetics 2(1998): pp.1842-1844.

Google Scholar

[21] Qiu W H. Management decision and applied entropy [M]. Beijing: China Machine Press (2002), pp.193-196. (in Chinese).

Google Scholar

[22] WANG Zheming, et al. Application of the Gray Interrelated Analysis and Multi-purposes Decision-making Model in Optimization of Project Options[J]. CHINA WATER &WASTEWATER ; 18(1)(2002), pp.81-84. (in Chinese).

Google Scholar