TECHNICAL PAPERS
Mar 1, 2007

Water Quality Index: A Fuzzy River-Pollution Decision Support Expert System

Publication: Journal of Water Resources Planning and Management
Volume 133, Issue 2

Abstract

Water quality management policies, which are proposed to prevent, control, or treat environmental problems related to quality of water, are broad and complex issues. We have various types of water resources, different water uses, and a lot of decision parameters with several levels of decision makers involved. Moreover, there are a lot of strategies and technologies available to be applied for water quality management and so environmental decision makers are required to evaluate and prioritize them in order to choose the best possible plan for each particular problem. To provide a comprehensive but easy to use tool in the assessment and evaluation of water quality policies, the concept of water quality index (WQI) has been developed. Due to the abovementioned complexities, to get this index, there is a need for a methodology to not only structure and identify information relevant to the problem but also to help users reach a decision. Designing a multiple-attribute decision support expert system, which makes expert knowledge available to nonexpert users, can do this. In doing so, we may encounter qualitative or linguistic assessments in the index making process. Thus, fuzzy set theory can be applied to recognize this inherent fuzziness of such a process. Briefly, in this study we propose a fuzzy multiple-attribute decision support expert system to compute the water quality index and to provide an outline for the prioritization of alternative plans based on the amount of improvements in WQI. At the end, applicability and usefulness of the proposed methodology is revealed by a case study.

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Acknowledgments

The writers of this paper are very grateful to Gerald Fuller at the University of Regina for support. The writers are also very thankful to anonymous reviewers for very insightful comments and suggestions which were helpful in improving the manuscript.

References

Adelman, L. (1991). Evaluating decision support and expert systems, 1st Ed., Wiley-Interscience, New York.
Bellman, R., and Zadeh, L. A. (1970). “Decision-making in a fuzzy environment.” Manage. Sci., 17(4), 141–164.
Bernardo, J. J., and Blin, J. M. (1977). “A programming model of consumer choice among multi attributed brands.” IEEE Trans. Eng. Manage., 4(2), 111–118.
Brown, R. M., McClleland, N. I., Deininger, R. A., and Tozer, R. (1970). “A water quality index—Do we dare?” Water and Sewage Works, 117(10), 339–343.
Calvo, T., Mayor, G., and Mesiar, R. (2002). Aggregation operators: New trends and applications (studies in fuzziness and soft computing), Physica, Heidelberg.
Carlsson, C., and Fuller, R. (1994). “Interdependence in fuzzy multiple objective programming.” Fuzzy Sets Syst., 65(1), 19–29.
Carlsson, C., and Fuller, R. (1996). “Fuzzy multiple-criteria decision-making: Recent developments.” Fuzzy Sets Syst., 78(2), 139–153.
Carlsson, C., and Fuller, R. (2001). Fuzzy reasoning in decision making and optimization, (studies in fuzziness and soft computing), 1st Ed., Physica, Heidelberg.
CCME. (2005). Application and testing of the CCME water quality index in selected water bodies in Atlantic Canada, CCME Water Quality Task Group, Canadian Council of Ministers of the Environment, Winnipeg, MB, Canada.
Chang, N. B., Chen, H. W., and Ning, S. K. (2001). “Identification of river water quality using the fuzzy synthetic evaluation approach.” J. Environ. Manage., 63(3), 293–305.
Chen, J. E., and Otto, K. N. (1995). “Constructing membership function using interpolation and measurement theory.” Fuzzy Sets Syst., 73(3), 313–327.
Chen, S. J., and Hwang, C. L. (1992). Fuzzy multi-attribute decision making: Methods and applications, Springer, Berlin.
Cude, C. G. (2001). “Oregon water quality index: A tool for evaluating water quality management effectiveness.” J. Am. Water Resour. Assoc., 37(1), 125–139.
Dawes, R. M. (1964). “Social selection based on multidimensional criteria.” J. Abnorm. Soc. Psychol., 68(1), 104–109.
Dojlido, J., Raniszewski, I. J., and Woyciechowska, J. (1994). “Water quality index—Application for rivers in Vistula River Basin in Poland.” Water Sci. Technol., 30(10), 57–64.
Easton, A. (1973). “One of a kind decisions, involving weighted multiple objectives and disparate alternatives.” Multiple criteria decision making, J. L. Cochrane and M. Zeleny, eds., University of South Carolina Press, Columbia, S.C., 567–667.
Fan, Z. P., Ma, J., and Zhang, Q. (2002).”An approach to multiple attribute decision-making based on fuzzy preference information on alternatives.” Fuzzy Sets Syst., 131(1), 101–106.
Figueira, J., Greco, S., and Ehrgott, M. (2004). Multiple criteria decision analysis: State of the art surveys, International series in operations research and management science, Springer, Berlin.
Figueiredo, M., and Gomide, F. (1999). “Design of fuzzy systems using neuro-fuzzy networks.” IEEE Trans. Neural Netw., 10(4), 815–827.
Heinonen, P., and Herve, S. (1994). “The development of a new water quality classification system for Finland.” Water Sci. Technol., 30(10), 21–24.
Holz, H., and Mosler, K. (1994). “An interactive decision procedure with multiple attributes under risk.” Ann. Operat. Res., 52(1), 151–170.
Horton, R. K. (1965). “An index-number system for rating water quality.” J. Water Pollut. Control Fed., 37(3), 300–306.
House, M. A., and Ellis, J. B. (1987). “The development of water quality indices for operational management.” Water Sci. Technol., 19(9), 145–154.
Hwang, C. L. (1981). Multiple attribute decision making, Springer, Berlin.
Ignizio, J. P. (1991). An introduction to expert systems, McGraw-Hill, New York.
Inhaber, M. (1975). “An approach to a water quality index for canada.” Water Res., 9(9), 821–833.
Jackson, P. (1998). Introduction to expert systems, 3rd Ed., Addison Wesley, Reading, Mass.
Jain, S. K., and Singh, V. P. (2003). Water resources systems planning and management (developments in water science), 1st Ed., Elsevier, Amsterdam, The Netherlands.
Kaewkrajang, V. (2000). “Integrated planning of water quality management system in Tha Chin River.” Master’s of Applied Science thesis, Environmental Systems Engineering, Univ. of Regina, Regina, Sask, Canada.
Kung, H., and Ying, L. (1991). “A study of lake eutrophication in Shanghai.” The Geographical J. (The Royal Geographical Society), 157(1), 1–6.
Kung, H., Ying, L., and Liu, Y. (1992). “A complementary tool to water quality index: Fuzzy clustering analysis.” Water Resour. Bull., 28(3), 525–533.
Kung, H., Ying, L., and Liu, Y. (1993). “Fuzzy clustering analysis in environmental impact assessment—A complement tool to environmental quality index.” Environ. Monit. Assess., 28(1), 1–14.
Landwehr, J. M., Deininger, N. L., McClelland, N. L., and Brown, R. M. (1974). “Discussion: An objective water quality index.” J. Water Pollut. Control Fed., 46(8), 1804–1809.
Lehr, J., Hyman, M., Glass, T. E., and Seevers, W. J. (2002). Handbook of complex environmental remediation problems, McGraw-Hill, New York.
Linstone, H. A., and Turoff, M. (1975). The Delphi method: Techniques and applications, Addison-Wesley, Reading, Mass.
Lu, R. S., Lo, S. L., and Hu, J. Y. (1999). “Analysis of reservoir water quality using fuzzy synthetic evaluation.” Stochastic Environ. Res. Risk Assess., 13(5), 327–336.
Ma, J., Fan, Z. P., and Huang, L. H. (1999). “A subjective and objective integrated approach to determine attribute weights.” Eur. J. Oper. Res.112(2), 397–404.
MacCrimmon, K. R. (1968). “Decision making among multiple attribute alternatives: A survey and consolidated approach.” RAND Memorandum, RM-4823-ARPA.
Mang, G., Lan, H., and Zhang, L. (1995). “A genetic-based method of generating fuzzy rules and membership functions by learning from examples.” Proc., Int. Conf. on Neural Information Processing (ICONIP’95), IEEE, Beijing, 335–338.
Maqsood, I., Huang, G. H., Chen, Z., and Huang, Y. F. (2003). “Development of an intuitive river-pollution index for prioritizing water quality management alternatives.” Proc., 8th Environmental and Sustainable Engineering Specialty Conf., Canadian Society for Civil Engineering (CSCE), Moncton, N.B., Canada, ENG 553, 1–8.
Michnik, J., and Trzaskalik, T. (2002). Multiple objective and goal programming: Recent development (advances in soft computing), Springer, Berlin.
Mitchell, M. K., and Stapp, W. B. (2000). Field manual for water quality monitoring, 12th Ed., Kendall/Hunt, Dubuque, Iowa.
Nakamura, E., and Kehtarnavez, N. (1995). “Optimization of fuzzy membership function parameters.” Proc., Int. Conf. on Systems, Man and Cybernetics, IEEE, Vancouver, B.C., Canada, 1–6.
Neufville, R. (1990). Applied systems analysis: Engineering planning & technology management, Chapter 16: Decision Analysis, McGraw-Hill, New York, 297–328.
Oregon Watershed Enhancement Board (OWEB). (2005). “Annual report on performance measures.” Oregon Progress Board, Department of Administrative Services, State of Oregon, APPR05.
Park, K. S., Lee, K. S. Eum, Y. S., and Park, K. (2001).”Extended methods for identifying dominance and potential optimality in multi-criteria analysis with imprecise information.” Eur. J. Oper. Res., 134(3), 557–563.
Porter, A. L., Roper, T. A., Mason, T. W., Rossini, F. A., and Banks, J. (1991). Forecasting and management of technology, Chapter 11: Expert opinion, Wiley, New York, 214–219.
Prati, L., Pavanello, R., and Pesarin, F. (1971). “Assessment of surface water quality by a single index of pollution.” Water Res., 5(9), 741–751.
Resource Management Plan (RMP). (2002). Resource management plan for the Kootenay Boundary Region, Ministry of Forests/Ministry of Sustainable Resource Management/Ministry of Water, Land and Air Protection, Government of British Columbia, B.C., Vancouver, Canada.
Rijckaert, M. J., Debroey, V., and Bogaerts, W. (1988). “Expert systems: The-state-of-the-art.” Mathematical models for decision support, G. Mitra, ed., Springer, Berlin, 487–517.
Rubin, E. S. (2001). Engineering and the environment, 1st Ed., McGraw-Hill, New York.
Saaty, T. L. (1977). “A scaling method for priorities in hierarchical structures.” J. Math. Psychol., 15(3), 234–281.
Sakawa, M. (2000). Large scale interactive fuzzy multiobjective programming: Decomposition approaches (studies in fuzziness and soft computing), 1st Ed., Physica, Heidelberg.
Sii, H. I., Sherrard, J. H., and Wilson, T. E. (1993). “A water quality index based on fuzzy sets theory.” Joint ASCE/CSCE National Conf. on Environmental Engineering (ENJN93), ASCE-CSCE, Montreal, 253–259.
Simachaya, W., Watanamahart, P., Kaewkrajang, V., and Yenpiem, A. (1999). Water quality situation in the Chao Phraya Delta, Water Quality Management Division, Pollution Control Department, Bangkok, Thailand.
Simon, D. (2002). “Sum normal optimization of fuzzy membership functions.” Int. J. Uncertainty, Fuzziness Knowledge-Based Syst., 10(4), 363–384.
Simonovic, S. P. (1996a). “Decision support systems for sustainable management of water resources: 1. Case studies.” Water Int., 21(4), 223–232.
Simonovic, S. P. (1996b). “Decision support systems for sustainable management of water resources: 2. Case studies.” Water Int., 21(4), 233–244.
Suvarna, A. C., and Somashekar, R. K. (1997). “Evaluation of water quality index of the River Cauvery and its tributaries.” Curr. Sci., 72(9), 640–646.
Turban, E., Aronson, J. E., and Liang, T. P. (2004). Decision support systems and intelligent systems, 7th Ed., Prentice-Hall, Englewood Cliffs, N.J.
U.S. Environmental Protection Agency (USEPA). (2002). “The twenty needs report: How research can improve the TMDL program.” Assessment and Watershed Protection Division, U.S. Environmental Protection Agency, EPA841-B-02-002, Washington, D.C.
World Health Organization (WHO). (2001). Water quality—Guidelines, standards and health: Assessment of risk and risk management for water-related infectious disease, Chapter 13: Indicators of microbial water quality, IWA, London.
Xu, Z. (2005).”On method for uncertain multiple attribute decision making problems with uncertain multiplicative preference information on alternatives.”Fuzzy Optimization Decision Making, 4(2), 131–139.
Yager, R. R. (1978). “Fuzzy decision-making including unequal objectives.” Fuzzy Sets Syst., 1(2), 87–95.
Yager, R. R. (1980). “On a general class of fuzzy connectives.” Fuzzy Sets Syst., 4(3), 235–242.
Yager, R. R., and Kacprzyk, J. (1997). The ordered weighted averaging operators: Theory and applications, Kluwer Academic, Dordrecht, The Netherlands.
Yazdandoost, M. Y., and Katdare, M. S. (2000). “Water quality index of major rivers in Pune.” J. Ind. Pollut. Control, 16(2), 231–238.
Yoon, K. P., and Hwang, C. L. (1995). Multiple attribute decision making: An introduction (quantitative applications in the social sciences), SAGE, Thousand Oaks, Calif.
Zadeh, L. A. (1965). “Fuzzy sets.” Information and Control, 8(3), 338–353.
Zadeh, L. A. (1975a). “The concept of a linguistic variable and its application to approximate reasoning—I.” Inf. Sci. (N.Y.), 8(3), 199–249.
Zadeh, L. A. (1975b). “The concept of a linguistic variable and its application to approximate reasoning—II.” Inf. Sci. (N.Y.), 8(4), 301–357.
Zadeh, L. A. (1975c). “The concept of a linguistic variable and its application to approximate reasoning—III.” Inf. Sci. (N.Y.), 9(1), 43–80.
Zheng, J., and Ying, L. (1984). “Regional environmental assessment and fuzzy clustering analysis.” Acta Scientiae Circumstantiae, 4(3), 197–203.
Zimmermann, H. J. (1978). “Fuzzy programming and linear programming with several objective functions.” Fuzzy Sets Syst., 1(1), 45–55.
Zimmermann, H. J. (1990). Fuzzy set theory and its applications, 2nd Ed., Kluwer Academic, Dordrecht, The Netherlands.

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Go to Journal of Water Resources Planning and Management
Journal of Water Resources Planning and Management
Volume 133Issue 2March 2007
Pages: 95 - 105

History

Received: Jun 17, 2004
Accepted: Dec 21, 2005
Published online: Mar 1, 2007
Published in print: Mar 2007

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Authors

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Fuzhan Nasiri [email protected]
Ph.D. Student, Faculty of Environmental Systems Engineering, Univ. of Regina, Regina SK, Canada (corresponding author). E-mail: [email protected]
Imran Maqsood [email protected]
Research Associate, Faculty of Environmental Systems Engineering, Univ. of Regina, Regina SK, Canada. E-mail: [email protected]
Gordon Huang [email protected]
Professor, Faculty of Environmental Systems Engineering, Univ. of Regina, Regina SK, Canada. E-mail: [email protected]
Norma Fuller [email protected]
Assistant Professor, Dept. of Science, First Nations Univ. of Canada, Regina SK, Canada. E-mail: [email protected]

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