Abstract
Multicriterion Q-analysis (MCQA) is a multicriterion decision making (MCDM) technique based on a form of polyhedral dynamics called Q-analysis. In brief, Q-analysis views the decision problem as a kind of multidimensional graph, or simplicial complex, in which the decision alternatives form multidimensional simplices, the vertices of which are the criteria for which that project was found to be satisfactory. Combined with fuzzy sets (Duckstein and Kempf 1981), MCQA has been used to select a design for a water supply system in the Tisza Easin in Hungary, a case study which has been approached by a number of other multicriterion techniques (ELECTRE: David and Duck-stein 1976; multiattribute utility theory: Keeney and Wood 1977; compromise programming: Duckstein and Opricovic 1980). Results were similar to those obtained using multiattribute utility theory. Another case study, the Santa Cruz River basin in Southern Arizona, has also been investigated by means of several techniques (Gershon and Duckstein 1983) including MCQA (Pfaff and Duckstein 1981).
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References
Atkin R.H., Mathematical Structure in Human Affairs, Heinemann, London, 1974.
Chen, C.W. and Orlob, G.T., Ecological Simulation for Aquatic Environments, Water Resources Engineers, Inc., Walnut Creek, California, 1971.
David, L. and Duckstein, L., ‘Multicriterion ranking of alternative Long-range water resource systems’, Water Resources Bulletin, 12, (4), 1976, pp. 731–754.
Duckstein, L., MulticriterionWater Quality Planning by Fuzzy Sets and Q-Analysis, Working Paper #82–24, Sys. & Ind. Engineering Department, University of Arizona, Tuscon, Arizona, 1982.
Duskstein, L. and Kempf, J., ‘Multicriteria Q-analysis for plan evaluation’, Chapter 6 in Nijkamp P. and Spronk, J. (eds), Multiple Criteria Analysis, Gower, Aldershot, 1981, pp. 87–99.
Duckstein, L. and Opricovic, S., ‘Multiobjective optimization in river basin development’, Water Resources Research, 16 (1), 1980, pp. 14–20.
Gershon, M. and Duckstein, L., ‘Multiobjective approaches to river basin planning’, ASCE,Journal of Water Resources Planning & Management, January, vol. 109, no. 1, 1983, pp. 13–28.
Goicoechea, A., Hansen, D.R. and Duckstein, L., Multiobjective Decision Analysis with Engineering and Business Applications, John Wiley & Sons, New York, 1982.
Hashimoto, T., Stedinger, J.R. and Loucks, D.P., ‘Reliability, resiliency, and vulnerability criteria for water resource system performance evaluation’, Water Resources Research, 18, 1982, pp. 14–20.
Kaufman, A., Introduction to the Theory of Fuzzy Subsets, Volume 1, Academic Press, New York, 1975.
Keeney, R.L. and Wood, E., ‘An illustrative example of the use of multiattribute utility theory for water resources planning’, Water Resources Research, 13, 1977, pp. 705–719.
Kempf, J., Duckstein, L. and Casti, J., ‘Polyhedral dynamics and fuzzy sets as a multicriteria decision making aid’, Paper presented at the Joint TIMS/ORSA Conference, New Orleans, Louisiana, April 30 — May 2, available as paper #78–25, Department of Systems & Industrial Engineering, University of Arizona, Tuscon, Arizona, 1979.
Pfaff, R. and Duckstein, L., ‘Ranking alternative plans for the Santa Cruz River Basin by Q-analysis’, Proceedings, Joint AZ Sect., AWRA, and Hydrology Sect., AZ-Nevada Academy of Science, May 1–2, Tuscon, 1981.
Whipple, W., Planning Water Quality Systems, D.C. Heath and Co., Toronto, 1977.
Zadeh, L., ‘Outline of a new approach to the analysis of complex systems and decision processes’, IEEE Transactions on Systems, Man and Cybernetics, CMC-3, 28, 1973.
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Duckstein, L., Kempf, J., Casti, J. (1984). Design and Management of Regional Systems by Fuzzy Ratings and Polyhedral Dynamics (MCQA). In: Despontin, M., Nijkamp, P., Spronk, J. (eds) Macro-Economic Planning with Conflicting Goals. Lecture Notes in Economics and Mathematical Systems, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46504-8_11
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DOI: https://doi.org/10.1007/978-3-642-46504-8_11
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