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Evaluation and Selection of Alternatives Considering Multiple Criteria

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Expert Systems in Structural Safety Assessment

Part of the book series: Lecture Notes in Engineering ((LNENG,volume 53))

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

    Article  MATH  MathSciNet  Google Scholar 

  • 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

    Article  MATH  MathSciNet  Google Scholar 

  • Bellman, R.E., Zadeh, L.A.: Decision-making in a fuzzy environment, in: Mgt. Sc. 17 (1970), pp. B141–164

    MathSciNet  Google Scholar 

  • Bortolan, G., Degani, R.: A review of some methods for ranking fuzzy subsets, in: Fuzzy Sets and Systems 15 (1985), pp. 1–20

    Article  MATH  MathSciNet  Google Scholar 

  • Chen, S.H.: Ranking fuzzy numbers with maximizing set and minimizing set, in: Fuzzy Sets and Systems 17 (1985), pp. 113–130

    Article  MATH  MathSciNet  Google Scholar 

  • 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

    Google Scholar 

  • Jain, R.: Procedure for multi-aspect decision making using fuzzy sets, in: Int. Journal Systems Science 8 (1977), pp. 1–7

    Article  MATH  Google Scholar 

  • 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

    Article  MATH  MathSciNet  Google Scholar 

  • 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

    Google Scholar 

  • Tong, R.M., Bonissone, P.P.: Linguistic solutions to fuzzy decision problems, in: zimmermann, H.-J. et al. (1984), pp. 323–334

    Google Scholar 

  • Werners, B.: Interaktive Entscheidungsunterstutzung durch ein flexibles mathematisches Programmierungssystem, München 1984

    Google Scholar 

  • Werners, B.: An interactive fuzzy programming system, in: Fuzzy Sets and Systems 23 (1987), pp. 131–147

    Article  MATH  MathSciNet  Google Scholar 

  • Werners, B.: Aggregation models in mathematical programming, in: G. Mitra (ed.), Mathematical models for decision support, Berlin, Heidelberg, New York 1988, pp. 295–305

    Chapter  Google Scholar 

  • Yager, R.R.: Fuzzy Decision Making including unequal objectives, in: Fuzzy Sets and Systems 1 (1978), pp. 87–95

    Article  MATH  Google Scholar 

  • Zadeh, L.A.: Linguistic characterization of preference relations as a basis for choice in social systems, Memo UCB/ERL M77/24 Berkeley 1977

    Google Scholar 

  • Zimmermann, H.-J., Zysno, P.: Decisions and evaluations by hierarchical aggregation of information, in: Fuzzy Sets and Systems 10 (1983), pp. 243–266

    Article  MATH  Google Scholar 

  • Zimmermann, H.-J., Zadeh, L.A., Gaines, B.R. (Eds.): Fuzzy sets and decision analysis, New York 1984

    MATH  Google Scholar 

  • Zimmermann, H.-J.: Fuzzy set theory — and its applications, Boston-Dordrecht-Lancaster 1985

    Google Scholar 

  • Zimmermann, H.-J.: Fuzzy sets, decision making, and expert systems, Boston-Dordrecht-Lancaster 1987

    Book  Google Scholar 

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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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51823-5

  • Online ISBN: 978-3-642-83991-7

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