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Indefinite preference structures and decision analysis

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Abstract

It always takes time for people to digest information and make judgments. The decision maker's preference is not always clear and stable when decision analysis and decision making are performed. In this paper, we introduce a generalized preference structure to cope with indefinite preferences. We describe its general properties, its implication on value function representation, its solution concepts, and methods for obtaining the solutions.

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References

  1. 1.

    Debreu, G.,Representation of a Preference Ordering by a Numerical Function, Decision Processes, Edited by R. M. Thrall, C. H. Combes, and R. L. Davis, Wiley, New York, New York, 1954.

  2. 2.

    Fishburn, P. C.,Utility Theory for Decision Making, Wiley, New York, New York, 1970.

  3. 3.

    Gorman, W. M.,The Structure of Utility Functions, Review of Economic Studies, Vol. 35, pp. 367–390, 1968.

  4. 4.

    Keeney, R. L. andRaiffa, H.,Decisions with Multiple Objectives: Preferences and Value Tradeoffs, Wiley, New York, New York, 1976.

  5. 5.

    Steuer, R. E.,Multiple-Criteria Optimization, Wiley, New York, New York, 1985.

  6. 6.

    White, D. J.,Optimality and Efficiency, Wiley, New York, New York, 1982.

  7. 7.

    Yu. P. L.,Multiple-Criteria Decision Making: Concepts, Techniques and Extensions, Plenum Publishing Corporation, New York, New York, 1985.

  8. 8.

    Yu. P. L.,Cone Convexity, Cone Extreme Points, and Nondominated Solutions in Decision Problems with Multiobjectives, Journal of Optimization Theory and Applications, Vol. 14, pp. 319–377, 1974.

  9. 9.

    Zeleny, M.,Multiple-Criteria Decision Making, McGraw-Hill, New York, New York, 1982.

  10. 10.

    Rockafellar, R. T.,Convex Analysis, Princeton University Press, Princeton, New Jersey, 1970.

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Additional information

This research has been partially supported by NSF Grant No. IST-84-18863. The authors are grateful to Dr. D. J. White for his helpful comments on a previous draft.

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Chien, I.S., Yu, P.L. & Zhang, D. Indefinite preference structures and decision analysis. J Optim Theory Appl 64, 71–85 (1990). https://doi.org/10.1007/BF00940023

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Key Words

  • Multiple criteria optimization
  • generalized preference structures
  • value function
  • nondominated solutions
  • cone preference structures