Skip to main content
SpringerLink
Log in

A Nonlinear Multi-Attribute Utility Theory

  • Conference paper
Decision Making with Multiple Objectives

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 242))

  • 155 Accesses

Abstract

In this paper we discuss a new nonlinear Multi-Attribute Utility Function (MAUF) which is quasi-concave. Three types of information on the local scaling constants (coefficients) are defined which are partial, complete, and global. We discuss optimality and how to obtain the most preferred alternative using a partially known MAUF.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Arrow, K. J.F, and A.C. Enthoven, “Quasiconcave Programming” Econometrica, 29, No. 4, 779–800, (1961).

    Article  Google Scholar 

  • Bazaraa, M. S., and C. M. Shetty, Nonlinear Programming, John Wiley, N.Y., (1979).

    Google Scholar 

  • Chankong, V. and Y. Y. Haimes, Multiobjective Decision Making: Theory and Methodology, Elsevier Science Publishing, (1983).

    Google Scholar 

  • Farguhar, P. H., “Utility Assessment Methods”, Management Science, Vol. 30, No. 11 (1984).

    Google Scholar 

  • Fishburn, P.C., “Multiattribute Nonlinear Utility Theory”, Management Science, Vol. 30, No. 11 (1984).

    Google Scholar 

  • Geoffrion, A. M., J. S. Dyer and A. Feinberg, “An Interactive Approach for Multicriterion Optimization with an Application to the Operation of an Academic Department”, Management Science, 19, No. 4, 357–368, (1972).

    Article  Google Scholar 

  • Hazen, G. B., and T. L. Morin, “Optimality Conditions in Nonconical Multiple Objective Programming”, Journal of Optimization Theory and Applications, 40, (1983), pp. 25–60.

    Article  Google Scholar 

  • Kahneman, D. and A. Tversky, “Prospect Theory: An Analysis of Decision Under Risk,”Econometrica, 47 (1979).

    Google Scholar 

  • Keeney, R. L. and H. Raiffa, Decisions with Multiple Objectives: Preferences and Value Tradeoffs, New York: Wiley, (1976).

    Google Scholar 

  • Korhonen, P., J. Wallenius, and S. Zionts, “Solving the Discrete Multiple Criteria Problem Using Convex Cones”, Management Science, Vol. 30, No. 11, Nov. (1984).

    Google Scholar 

  • Machina, M.J., “ ‘Expected Utility’ Analysis Without the Independence Axiom”, Econometrica, Vol. 50, No. 2 (1982).

    Google Scholar 

  • Malakooti, B. and A. Ravindran, “Interactive Paired Comparison Methods for M0LP Problems”, Working Paper No. 10–2–83, Systems Engineering Dept., CWRU, Cleveland, OH.

    Google Scholar 

  • Malakooti, B., “An Interactive Method for Solving the Discrete Multiple Criteria Problem”, Working Paper No. 1–5–84, Systems Engineering Dept., CWRU, Cleveland, OH 44106.

    Google Scholar 

  • Malakooti, B. and G. D’Souza, “An Interactive Approach for Computer Aided Facility Layout Selection (CAFLAS)”, Int. HE Proceedings, (May 1984).

    Google Scholar 

  • Malakooti, B., “Assessment Through Strength of Preference”, Urgg Scale Systems: Theory and Applications, Forthcoming. (1985 a).

    Google Scholar 

  • Malakooti, B., “A Nonlinear Expected Utility Theory,” Working Paper, Systems Engineering Dept., CWRU, Cleveland, OH, 44106 (1985b).

    Google Scholar 

  • Malakooti, B., “An Interactive Paired Comparison Method for MOLP Problems with an Underlying Quasi-Concave Utility Function”, Working Paper #9–1–85, Systems Engineering Dept. CWRU, Cleveland, OH 44106 (1985c).

    Google Scholar 

  • McCord, M. and R. de Neufuille, “Empirical Demonstration That Expected Utility Decision Analysis is not Operational”, MIT, Cambridge, MA 02139 (1982).

    Google Scholar 

  • Musselman, K. and J. Talavage, “A Tradeoff Cut Approach to Multiple Objective Optimization”, Operations Research, 28, 1980.

    Google Scholar 

  • Sadagopan, S. and A. Ravindran, “Multicriteria Mathematical Programming — A Unified Interactive approach”, European Journal of Operations Research, Forthcoming.

    Google Scholar 

  • von Neumann, J. and O. Morgenstern, Theory of Games and Economic Behavior, 2nd ed., Princeton University Press, Princeton, N.J., (1947).

    Google Scholar 

  • Zeleny, M., Multiple Criteria Decision Making, McGraw-Hill, Inc. New York, (1982).

    Google Scholar 

  • Zionts, S., “Multiple Criteria Decision Making: An Overview and Several Approaches”, Working Paper No. 454, School of Management, SUNY at Buffalo (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Systems Engineering and Operations Research, Case Western Reserve University, Cleveland, Ohio, 44106, USA

    B. Malakooti (Assistant Professor)

Authors
  1. B. Malakooti
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Systems Engineering Department, Case Institute of Technology, Case Western Reserve University, Cleveland, Ohio, 44106, USA

    Yacov Y. Haimes  & Vira Chankong  & 

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Malakooti, B. (1985). A Nonlinear Multi-Attribute Utility Theory. In: Haimes, Y.Y., Chankong, V. (eds) Decision Making with Multiple Objectives. Lecture Notes in Economics and Mathematical Systems, vol 242. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46536-9_12

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46536-9_12

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-15223-1

  • Online ISBN: 978-3-642-46536-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation