Abstract
Many complex engineering problems require multicriterion decision making (MCDM) under uncertainty. The purpose of this paper is to investigate how such decision making may take place. Although a few specialized techniques are available for solving such problems, no general approach is available for examining the effect of uncertainty on both individual criteria or objectives and the overall solution of the MCDM problem. Uncertainty can be reduced by obtaining additional information. However, no multicriterion approach nor technique is available for considering the value of additional information in reducing the effect of uncertainty in MCDM analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Berger, J. 1985. Statistical Decision Theory. Springer, N.Y.
Davis, D., C. Kisiel, and L. Duckstein. 1972. Bayesian decision theory applied to design in hydrology. Water Resources Research. Vol. 8. No. 1. pp. 33–41.
Davis, D., L. Duckstein, and F. Szidarovsky. 1985. Opportunity losses due to uncertainty in multiobjective decision problems. Applied Mathematics and Computation, Vol. 17, pp. 69–91, 1985.
De Groot, M. 1970. Optimal Statistical Decisions. McGraw-Hill, Inc., New York.
Duckstein, L., R. Krzystofowicz, and D. Davis. 1976. To build or not to build: a Bayesian analysis. Journal Hydrological Sciences. Vol. 5. No. 1. pp. 55–68.
Duckstein, L., E. Plate, and M. Benedini. 1984. Incidents & failures in resources and dams: a mathematical system framework. Invited paper, American Geophysical Union Fall Meeting. San Francisco. December. Available as SIE working paper, 84–16. Systems & Industrial Engineering. University of Arizona. Tucson, 85721.
Ferrell, W., and K. Rehm. 1979. A model of subjective probabilities from small groups. Working paper. Department of Systems and Industrial Engineering. University of Arizona, Tucson, Arizona.
Goicoechea, A., D. Hansen, and L. Duckstein, 1982. Multiobjective Decision Analysis with Engineering and Business Applications. Wiley, N. Y.
Hwang, C. L. and A. S. M. Masud. 1979. Multiple Decision Making Methods and Applications. Springer-Verlag, N. Y.
Sheridan, T. B. and W. R. Ferrell. 1974. Man-Machine Systems, MIT Press, Cambridge, Massachusetts.
Szidarovszky, F., M.E. Gershon, and L. Duckstein. 1986 Techniques for Multiobjective Decision Making in Systems Management, Elsevier, Amsterdam, 506 p.
Szidarovszky, F. and L. Duckstein. 1986. Dynamic multiobjective optimization: a framework with application to regional water and mining management. Eur. J.Oper. Res Vol. 24, pp. 305–317.
Weber, J., L. Duckstein and D. Davis. 1977. Energy development decision making: Minimax versus expected value criterion. Proceedings. International Conference on Energy Use Management. Tucson, Arizona.
Wymore, A. W. 1976. Systems Engineering Methodology for Interdisciplinary Teams. Wiley, N. Y.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1987 Springer-Verlag Berlin HeidelBerg
About this paper
Cite this paper
Duckstein, L., Davis, D., Weber, J. (1987). Bicriterion Decision-Making under Randomness and Worth of Perfect Information. In: Sawaragi, Y., Inoue, K., Nakayama, H. (eds) Toward Interactive and Intelligent Decision Support Systems. Lecture Notes in Economics and Mathematical Systems, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46609-0_34
Download citation
DOI: https://doi.org/10.1007/978-3-642-46609-0_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-17719-7
Online ISBN: 978-3-642-46609-0
eBook Packages: Springer Book Archive