Abstract
In complex decision problems in which a ranking of alternatives, i.e. projects, objects etc., has to be determined, in general several criteria have to be considered simultaneously. Often parts of the description are in addition uncertain. To aid decision makers in such situations numerous mathematical models and methods have been developed, of which some shall be described in the following. On the one hand, these models can be used in expert systems to model human decision making behavior properly. On the other hand, they may provide a benchmark for the quality of decisions in a normative sense.
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References
Baas, M.S., Kwakernaak, H.: Rating and ranking of multiple-aspect alternatives using fuzzy sets, in: Automatica 13 (1977), pp. 47–58
Baldwin, J.F., Guild, N.C.F.: Comparison of fuzzy sets on the same decision space, in: Fuzzy Sets and Systems 2 (1979), pp. 213–232
Bellman, R.E., Zadeh, L.A.: Decision-making in a fuzzy environment, in: Mgt. Sc. 17 (1970), pp. B141–164
Bortolan, G., Degani, R.: A review of some methods for ranking fuzzy subsets, in: Fuzzy Sets and Systems 15 (1985), pp. 1–20
Chen, S.H.: Ranking fuzzy numbers with maximizing set and minimizing set, in: Fuzzy Sets and Systems 17 (1985), pp. 113–130
Dubois,D., Prade, H.: Criteria aggregation and ranking of alternatives in the framework of fuzzy set theory, in: Zimmermann et al. (1984), pp. 209–240
Jain, R.: Procedure for multi-aspect decision making using fuzzy sets, in: Int. Journal Systems Science 8 (1977), pp. 1–7
Van Laarhoven, P.J.M., Pedrycz, W.: A fuzzy extension of Saaty’s priority theory, in: Fuzzy Sets and Systems 11 (1983), pp. 229–241
Siskos, J., Lochard, J., Lombard, J.: A multicriteria decision-making methodology under fuzziness: Appreciation to the evaluation of radiological protection in nuclear power plants, in: Zimmermann et al. (1984), pp. 261–284
Tong, R.M., Bonissone, P.P.: Linguistic solutions to fuzzy decision problems, in: zimmermann, H.-J. et al. (1984), pp. 323–334
Werners, B.: Interaktive Entscheidungsunterstutzung durch ein flexibles mathematisches Programmierungssystem, München 1984
Werners, B.: An interactive fuzzy programming system, in: Fuzzy Sets and Systems 23 (1987), pp. 131–147
Werners, B.: Aggregation models in mathematical programming, in: G. Mitra (ed.), Mathematical models for decision support, Berlin, Heidelberg, New York 1988, pp. 295–305
Yager, R.R.: Fuzzy Decision Making including unequal objectives, in: Fuzzy Sets and Systems 1 (1978), pp. 87–95
Zadeh, L.A.: Linguistic characterization of preference relations as a basis for choice in social systems, Memo UCB/ERL M77/24 Berkeley 1977
Zimmermann, H.-J., Zysno, P.: Decisions and evaluations by hierarchical aggregation of information, in: Fuzzy Sets and Systems 10 (1983), pp. 243–266
Zimmermann, H.-J., Zadeh, L.A., Gaines, B.R. (Eds.): Fuzzy sets and decision analysis, New York 1984
Zimmermann, H.-J.: Fuzzy set theory — and its applications, Boston-Dordrecht-Lancaster 1985
Zimmermann, H.-J.: Fuzzy sets, decision making, and expert systems, Boston-Dordrecht-Lancaster 1987
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© 1989 Springer-Verlag Berlin, Heidelberg
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Werners, B., Zimmermann, H.J. (1989). Evaluation and Selection of Alternatives Considering Multiple Criteria. In: Jovanović, A.S., Kussmaul, K.F., Lucia, A.C., Bonissone, P.P. (eds) Expert Systems in Structural Safety Assessment. Lecture Notes in Engineering, vol 53. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83991-7_10
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DOI: https://doi.org/10.1007/978-3-642-83991-7_10
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