Skip to main content

Multicriteria Analysis Based On Stochastic and Probabilistic Dominance in Measuring Quality of Life

  • Conference paper
Multiple Objective and Goal Programming

Part of the book series: Advances in Soft Computing ((AINSC,volume 12))

Abstract

In terminology introduced by Vansnik [10], the multicriteria formulation of decision situation can be defined as a model of three components: the set of attributes, the set of alternatives and the set of evaluations. Each pair (attribute, alternatives) is described by vector of evaluation, which may be of different nature. In multicriteria analysis with uncertainty we apply MCAP procedures by Zaras and Martel [13] based on stochastic and probabilistic dominances for welfare in the decision making process.

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

Access this chapter

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

  1. Bawa V.S., Lindberg E.B., Rafsky L.C. „An Efficient Algoritm To Determinate Stochastic Dominance Admissible Sets“, Managment Science, Vol 25, No 7, July 1979, (609–622)

    Google Scholar 

  2. Burr R., Porter Portfolio Applications: Empirical Studies; - Stochastic Dominnce An Approach to Decision-Making Under Risk, Lexington Books, D.C. Heath and Company, Lexington, Massachusetts, Toronto, 1978.

    Google Scholar 

  3. Hadar J., Russel W. R. „Rules of Ordering Uncertaine Prospects”, American Economic Review, Vol. 59, 1969. (25–34)

    Google Scholar 

  4. Lee Y. R., Stam A. and Yu P.L. (1984). Dominance Concepts in Random Outcomes. Proceedings of International Seminar on the Mathemathics of Multi-Objective Optimization, CISM, Udine, Italy.

    Google Scholar 

  5. Martel J.M., Zaras K. (1994). Multiattribute analysis based on stochastic dominance, in Models and Experiments in Risk and Rationality. Kluwer Academic Publishers,, (225–248)

    Google Scholar 

  6. Quirk P., Saposnik R. Admissibility and Measurable Utility Functions. Review of Economic Study, Vol. 29, 1962, (142–146)

    Google Scholar 

  7. Roy B. and Bouyssou D. (1993). Aide multicritere a la decision: Methodes et cas, Economica, Paris.

    Google Scholar 

  8. Whitemore A. (1970). Third Degree Stochastic Dominance American Economic Review, Vol. 60,, (457–459)

    Google Scholar 

  9. Trzaskalik T.,Zaras K., Trzpiot G. (1996). Modelowanie preferencji z wykorzystaniem dominacji stochastycznych. Akademia Ekonomiczna w Katowicach, Katowice

    Google Scholar 

  10. Trzaskalik T.,Zaras K., Trzpiot G. (1997). Modelowanie preferencji z wykorzystaniem dominacji stochastycznych - etap I I. Akademia Ekonomiczna w Katowicach, Katowice

    Google Scholar 

  11. Vansnik, J.C. (1990) “Measurment theory and decision aid”, Readings in Multiple criteria decision aid, Springer Verlag, Berlin 81–100

    Book  Google Scholar 

  12. Wrather, c. and Yu, P.L. 1982 „Probability Dominance in Random Outcomes“. Journal of Optimization Theory and Appliccation, 36, 3, 315–334.

    Google Scholar 

  13. Zaras K. (1989). Dominances stochastiques pour deux classes de fonctions d’utilite: concaves et convexes. RAIRO: Recherche Operationnelle. Vol 23, 1, (57–65)

    Google Scholar 

  14. Zaras K. and Martel J. M. (1997). Modeling Preferences Using Stochastic and Probabilistic Dominances. International Conference on Methods and Applications of Multicriteria Decision Making, Mons, Belgium.

    Google Scholar 

  15. Zawisza M. (1997). Dominacje stochastyczne i ich implementacja komputerowa. Praca magisterska pod kierunkiem naukowym T. Trzaskalika i G. Trzpiot, Akademia Ekonomiczna w Katowicach, Katowice.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zawisza, M., Trzpiot, G. (2002). Multicriteria Analysis Based On Stochastic and Probabilistic Dominance in Measuring Quality of Life. In: Trzaskalik, T., Michnik, J. (eds) Multiple Objective and Goal Programming. Advances in Soft Computing, vol 12. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1812-3_32

Download citation

  • DOI: https://doi.org/10.1007/978-3-7908-1812-3_32

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1409-5

  • Online ISBN: 978-3-7908-1812-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics