Multicriteria decision methods: an attempt to evaluate and unify. (English) Zbl 1080.90050

Summary: Four well-known multicriteria decision methods are described in this paper, and illustrated with a simple example and are then shown to be fundamentally related by appropriate transformation from paired comparison data. Finally, two sets of several criteria each are given so that researchers and users can use them to evaluate the merits and shortcomings of each of these methods.


90B50 Management decision making, including multiple objectives
90C29 Multi-objective and goal programming


Full Text: DOI


[1] Aksoy, Y., Interactive multiple objective decision making: A bibliography (1965-1988), Mgmt. res. news, 13, 1-8, (1990)
[2] Booker, J.M.; Bryson, M.C., Decision analysis in project management: an overview, IEEE transactions on engineering management, 32, 1, 3-9, (1985) · Zbl 0573.90059
[3] Korhonen, P.; Moskowitz, H.; Wallenius, J., Multiple criteria decision support-A review, European journal of operational research, 63, 3, 361-375, (1992) · Zbl 0825.90576
[4] Mollaghasemi, M.; Pet-Edwards, J., Technical briefing: making multiple objective decisions, (1997), IEEE Computer Society Press
[5] Shin, W.; Ravindran, A., Interactive multiple objective optimization: survey I-continuous case, Computers & operations research, 18, 97-114, (1991) · Zbl 0713.90039
[6] White, D., A bibliography on the applications of mathematical programming multiple-objective methods, The journal of the operational research society, 41, 669-691, (1990) · Zbl 0707.90083
[7] B. Roy, How outranking relation helps multiple criteria decision making, Topics in Multiple Criteria Decision Making (edited by J. Cochrane and M. Zeleny), pp. 179-201, University of South Carolina Press.
[8] Roy, B.; Vincke, P., Multicriteria analysis: survey and new directions, European journal of operational research, 8, 207-218, (1981) · Zbl 0464.90068
[9] Roubens, M., Preference relations on actions and criteria in multicriteria decision making, European journal of operational research, 10, 51-55, (1982) · Zbl 0481.90080
[10] Pastijn, H.; Leysen, J., Constructing an outranking relation with ORESTE, Mathl. comput. modelling, 12, 10/11, 1255-1268, (1989)
[11] Brans, J.P.; Mareschal, B.; Vincke, P., PROMETHEE: A new family of outranking methods in multicriteria analysis, () · Zbl 0571.90042
[12] Keeney, R.L.; Raiffa, H., Decisions with multiple objectives: preference and value tradeoffs, (1976), John Wiley New York · Zbl 0488.90001
[13] Saaty, T.L., The analytic hierarchy process, (1980), McGraw-Hill · Zbl 1176.90315
[14] Hinloopen, E.; Nijkamp, P.; Rletveld, P., The regime method: A new multicriteria technique, (), 146-155
[15] Korhonen, P.; Wallenius, J.; Zionts, S., Solving the discrete multiple criteria problem using convex cones, Management science, 30, 1336-1345, (1984) · Zbl 0557.90090
[16] Korhonen, P., A hierarchical interactive method for ranking alternatives with multiple qualitative criteria, European journal of operational research, 24, 265-276, (1986) · Zbl 0581.90047
[17] Korhonen, P., A visual reference direction approach to solving discrete multiple criteria problems, European journal of operational research, 34, 152-159, (1988)
[18] Lofti, V.; Stewart, T.; Zionts, S., An aspiration-level interactive method for multiple criteria decision making, Computers and operations research, 19, (1992) · Zbl 0775.90252
[19] Zadeh, L.A., Fuzzy sets, Information and control, 8, 3, 338-353, (1965) · Zbl 0139.24606
[20] Zimmermann, H.J., Fuzzy set theory and its applications, (1991), Kluwer Boston, MA · Zbl 0719.04002
[21] Newman, J.W., Management applications of decision theory, (1971), Harper & Row
[22] Charnes, A.; Cooper, W.W., Management models and industrial applications of linear programming, (1961), John Wiley New York · Zbl 0107.37004
[23] Charnes, A.; Cooper, W.W.; Rhodes, E., Measuring the efficiency of decison making units, European journal of operational research, 2, 6, 429-444, (1978) · Zbl 0416.90080
[24] Geoffrion, A.; Dyer, J.; Feinberg, A., An interactive approach for multicriterion optimization with an application to the operation of an Academic department, Management science, 19, 357-368, (1972) · Zbl 0247.90069
[25] Zionts, S.; Wallenius, J., An interactive programming method for solving the multiple criteria problem, Management science, 22, 652-663, (1976) · Zbl 0318.90053
[26] Wierzbicki, A., The use of reference objectives in multiobjective optimization, () · Zbl 0435.90098
[27] Korhonen, P.; Laakso, J., A visual interactive method for solving the multiple criteria problem, European journal of operational research, 24, 277-287, (1986) · Zbl 0581.90088
[28] Korhonen, P.; Wallenius, J., A Pareto race, Naval research logistics, 35, 615-623, (1988) · Zbl 0661.90085
[29] Steuer, R.; Choo, E.U., An interactive weighted Tchebycheff procedure for multiple objective programming, Mathematical programming, 26, 326-344, (1983) · Zbl 0506.90075
[30] Zeleny, M., Multiple criteria decision making, (1982), McGraw-Hill · Zbl 0588.90019
[31] Saaty, T.L., A scaling method for priorities in hierarchical structures, Journal of mathematical psychology, 15, 3, 234-281, (1977) · Zbl 0372.62084
[32] Vargas, L.G., An overview of the analytic hierarchy process and its applications, European journal of operational research, 48, 1, 2-8, (1990)
[33] Zahedi, F., The analytic hierarchy process-A survey of the method and its application, Interfaces, 16, 4, 96-108, (1986)
[34] Saaty, T.L., Decision making with dependence and feedback: the analytic network process, (2001), RWS Publications Pittsburgh, PA · Zbl 1176.90315
[35] Vargas, L.G., Comparison of three multicriteria decision making theories: the analytic hierarchy process, multiattribute utility theory and outranking methods, (), 19-29
[36] Yager, R.R., An eigenvalue method of obtaining subjective probabilities, Behavioral science, 24, 382-387, (1979)
[37] Saaty, T.L.; Bennett, J.P., A theory of analytical hierarchies applied to political candidacy, Behavioral science, 22, 237-245, (1977)
[38] K. Peniwati, The possibility theorem for group decision making: The analytic hierarchy process, Ph.D. Thesis, University of Pittsburgh, Pittsburgh, PA. · Zbl 1173.91344
[39] Carlsson, C.; Walden, P., AHP in political group decisions: A study in the art of possibilities, Interfaces, 25, 4, 14-29, (1995)
[40] Charnes, A.; Cooper, W.W.; Ferguson, R.O., Optimal estimation of executive compensation by linear programming, Management science, 1, 2, 138-151, (1955) · Zbl 0995.90590
[41] Dyer, J.; Fishburn, P.; Wallenius, J.; Zionts, S., Multiple criteria decision making: multiattribute utility theory-the next ten years,, Management science, 38, 645-654, (1992) · Zbl 0825.90620
[42] Forgionne, G.A., Quantitative decision making, (1986), Wadsworth Publishing · Zbl 1176.90376
[43] Goicoechen, A.; Hansen, D.R.; Duckstein, L., Multiobjective decision analysis with engineering and business applications, (1982), John Wiley New York
[44] Haimes, Y.; Tarvainen, K.; Shims, T.; Thadathil, J., Hierarchical multiobjective analysis of large-scale systems, (1990), Hemisphere Publishing
[45] Lee, S.M., Goal programming for decision analysis, (1972), Auerbach Publishers
[46] NijKamp, P.; van Delft, A., Multicriteria analysis and regional decision-making, (1977), Martinus Nijhoff Leiden
[47] Olson, D., Decision aids for selection problems, (1996), Springer Series in Operations Research New York
[48] Reagen-Cirincione, P., Improving the accuracy of group judgment: A process intervention combining group facilitation, socail judgment analysis, and information technology, Organizational behavior and human decision processes, 58, 246-270, (1994)
[49] Saaty, T.L., Fundamentals of decision making and priority theory, (1994), RWS Publications Pittsburgh, PA · Zbl 0816.90001
[50] Sawaragi, Y.; Nakayama, J.; Tanino, T., Theory of multiobjective optimization, (1985), Academic Press · Zbl 0566.90053
[51] Schoemaker, P.J.H.; Waid, C.C., A comparison of several methods for constructing additive representations of multi-attribute preferences, (1978), Wharton Applied Research Center, University of Philadelphia Philadelphia, PA
[52] Steuer, R.E., Multiple criteria optimization: theory, computation, and applications, (1986), John Wiley New York · Zbl 0663.90085
[53] Vincke, P.; Gassner, M.; Roy, B., Multicriteria decision-aid, (1992), John Wiley New York
[54] Yu, P.L., Multiple criteria decision making: concepts, techniques, and extensions, (1985), Plenum
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.