Multiple criteria classification with an application in water resources planning. (English) Zbl 1113.90068

Summary: A new kind of multiple criteria decision aid (MCDA) problem, multiple criteria classification (MCC), is studied in this paper. Traditional classification methods in MCDA focus on sorting alternatives into groups ordered by preference. MCC is the classification of alternatives into nominal groups, structured by the decision maker (DM), who specifies multiple characteristics for each group. Starting with illustrative examples, the features, definition and structures of MCC are presented, emphasizing criterion and alternative flexibility. Then an analysis procedure is proposed to solve MCC problems systematically. Assuming additive value functions, an optimization model with constraints that incorporate various classification strategies is constructed to solve MCC problems. An application of MCC in water resources planning is carried out and some future extensions are suggested.


90B50 Management decision making, including multiple objectives


UTA Plus
Full Text: DOI


[1] Roy, B., Multicriteria methodology for decision aiding (1996), Kluwer: Kluwer Dordrecht · Zbl 0893.90108
[2] Keeney, R. L.; Raiffa, H., Decisions with multiple objectives: preferences and value tradeoffs (1976), Wiley: Wiley New York · Zbl 0488.90001
[3] Saaty, T. L., Analytic hierarchy process (1980), McGraw Hill: McGraw Hill New York · Zbl 1176.90315
[4] Roy, B., Méthodologie multicritère d’aide la décision (1985), Economica: Economica Paris
[5] Lotfi, V.; Stewart, T. J.; Zionts, S., An aspiration-level interactive model for multiple criteria decision making, Computers and Operations Research, 19, 671-681 (1992) · Zbl 0775.90252
[6] Slowinski, R., Rough set approach to decision analysis, AI Expert Magazine, 10, 18-25 (1995)
[7] Mousseau, V.; Slowinski, R., Inferring an ELECTRE TRI model from assignment examples, Journal of Global Optimization, 12, 2, 157-174 (1998) · Zbl 0904.90093
[8] Doumpos, M.; Zopounidis, C., Multicriteria decision aid classification methods (2002), Kluwer: Kluwer Dordrecht · Zbl 1029.91015
[9] Perny, P., Multicriteria filtering methods based on concordance/non-discordance principles, Annals of Operations Research, 80, 137-167 (1998) · Zbl 0907.90011
[10] Scarelli, A.; Narula, S., A multicriteria assignment problem, Journal of Multi-criteria Decision Analysis, 11, 65-74 (2002) · Zbl 1037.90546
[11] Stewart, T., Robustness of additive value function methods in MCDM, Journal of Multi-Criteria Decision Analysis, 5, 301-309 (1996) · Zbl 0863.90007
[12] von Winterfeldt, D.; Edwards, W., Decision analysis and behavioral research (1986), Cambridge University Press: Cambridge University Press Cambridge
[13] Belton, V.; Stewart, T. J., Multiple criteria decision analysis: an integrated approch (2002), Kluwer: Kluwer Dordrecht
[14] Jacquet-Lagrèze, E.; Siskos, Y., Assessing a set of additive utility functions for multicriteria decision-making, the UTA method, European Journal of Operational Research, 10, 151-164 (1982) · Zbl 0481.90078
[16] Rajabi, S.; Hipel, K. W.; Kilgour, D. M., Water supply planning under interdependence of actions: theory and application, Water Resources Research, 35, 2225-2235 (1999)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.