Skip to main content
SpringerLink
Log in

On Possibilistic/Fuzzy Optimization

  • Conference paper
Foundations of Fuzzy Logic and Soft Computing (IFSA 2007)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4529))

Included in the following conference series:

Abstract

We focus on possibilistic/fuzzy optimality in the framework of mathematical programming problem with a possibilistic objective function. We observe the interaction between possibilistic objective function values. Two optimality concepts, possible and necessary optimalities are reviewed. The necessary soft optimality is investigated.

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

  1. Inuiguchi, M., Ramík, J.: Possibilistic linear programming. Fuzzy Sets and Systems 111(1), 3–28 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  2. Inuiguchi, M., Kume, Y.: Extensions of fuzzy relations considering interaction between possibility distributions and an application to fuzzy linear program (in Japanese). Trans. of ISCIE 3(4), 93–102 (1990)

    Google Scholar 

  3. Inuiguchi, M., Sakawa, M.: Possible and necessary optimality tests in possibilistic linear programming problems. Fuzzy Sets and Systems 67(1), 29–46 (1994)

    Article  MATH  MathSciNet  Google Scholar 

  4. Inuiguchi, M.: Enumeration of all possibly optimal vertices with possible optimality degrees in linear programming problems with a possibilistic objective function. Fuzzy Optimization and Decision Making 3(4), 311–326 (2004)

    Article  MATH  MathSciNet  Google Scholar 

  5. Inuiguchi, M., Sakawa, M.: Robust optimization under softness in a fuzzy linear programming problem. International Journal of Approximate Reasoning 18(1-2), 21–34 (1998)

    Article  MATH  MathSciNet  Google Scholar 

  6. Inuiguchi, M., Tanino, T., Tanaka, H.: Optimization approaches to possibilistic linear programming problems. In: Proc. of Joint 9th IFSA Congress and 20th NAFIPS International Conference, pp. 2724–2729 (2001)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Systems Innovation, Graduate School of Engineering Science, Osaka University, 1-3, Machikaneyama, Toyonaka, Osaka 560-8531, Japan

    Masahiro Inuiguchi

Authors
  1. Masahiro Inuiguchi
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Patricia Melin Oscar Castillo Luis T. Aguilar Janusz Kacprzyk Witold Pedrycz

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer Berlin Heidelberg

About this paper

Cite this paper

Inuiguchi, M. (2007). On Possibilistic/Fuzzy Optimization. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds) Foundations of Fuzzy Logic and Soft Computing. IFSA 2007. Lecture Notes in Computer Science(), vol 4529. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72950-1_35

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-72950-1_35

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72917-4

  • Online ISBN: 978-3-540-72950-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation