Skip to main content
SpringerLink
Log in

Pareto-Optimal and Compromise Decisions in Problem with Fuzzy Criteria

  • Conference paper
Operations Research Proceedings 1998

Part of the book series: Operations Research Proceedings 1998 ((ORP,volume 1998))

  • 340 Accesses

Summary

This paper deals with the problem of existence Pareto-optimal decisions, the existence of compromise decisions and conditions for a compromise decision to be Pareto-optimal. The concept of compromise decision is generalized by adopting triangular norms.

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.99
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. R. Bellmann and L. Zadeh, Decision making in fuzzy environment, Management Science 17, 4(1970), 141–164.

    Google Scholar 

  2. B. Martos, Nonlinear programming, Akademia Kiado, Budapest, 1975.

    Google Scholar 

  3. J. Ramik, A unified approach to fuzzy optimization, in: Proceedings of the 2-nd IFSA Congressin Tokyo, Vol.1, 1987, 128–130.

    Google Scholar 

  4. H. Rommelfanger, Entscheiden bei Unschärfe — Fuzzy Decision Support Systeme (Springer Verlag, Berlin — Heidelberg, 1988; Second Edition 1994).

    Google Scholar 

  5. B. Schweizer and A. Sklar, Probabilistic metric spaces, North Holand, New York, 1983.

    Google Scholar 

  6. G.L. Nemhauser, Optimization — Handbook in Operations Research and Management Science, Elsevier, Amsterdam, 1989.

    Google Scholar 

  7. Avriel M., Diewert W.E., Scheible S., Zang I., Generalized concavity. Plenum Press, N.Y.,London, 1988.

    Book  Google Scholar 

  8. Ramik J., Vlach M.: Pareto-optimality of compromise decisions, Fuzzy Sets and Systems, to appear.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Silesian University, Karvina, Czech Republic

    Dr. Jaroslav Ramik

Authors
  1. Dr. Jaroslav Ramik
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jaroslav Ramik .

Editor information

Editors and Affiliations

  1. Institute for Operations Research, University of Zurich, Moussonstr. 15, CH-8044, Zurich, Switzerland

    Peter Kall

  2. Institute for Operations Research, ETH Zentrum, CLP, Clausiusstr. 47, CH-8092, Zurich, Switzerland

    Hans-Jakob Lüthi

Rights and permissions

Reprints and permissions

Copyright information

© 1999 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ramik, J. (1999). Pareto-Optimal and Compromise Decisions in Problem with Fuzzy Criteria. In: Kall, P., Lüthi, HJ. (eds) Operations Research Proceedings 1998. Operations Research Proceedings 1998, vol 1998. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-58409-1_53

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-58409-1_53

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-65381-3

  • Online ISBN: 978-3-642-58409-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation