Skip to main content
SpringerLink
Log in

Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems and Its Application to a Crop Planning Problem

  • Conference paper
Computational Intelligence (IJCCI 2012)

Part of the book series: Studies in Computational Intelligence ((SCI,volume 577))

Included in the following conference series:

  • 911 Accesses

Abstract

In this paper, we propose an interactive fuzzy decision making method for multiobjective fuzzy random linear programming problems (MOFRLP), in which the criteria of probability maximization and fractile optimization are considered simultaneously. In the proposed method, it is assumed that the decision maker has fuzzy goals for not only objective functions of MOFRLP but also permissible probability levels in a fractile optimization model for MOFRLP, and such fuzzy goals are quantified by eliciting the corresponding membership functions. Using the fuzzy decision, such two kinds of membership functions are integrated. In the integrated membership space, the satisfactory solution is obtained from among a Pareto optimal solution set through the interaction with the decision maker.

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
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover 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. Birge, J.R., Louveaux, F.: Introduction to Stochastic Programming. Springer (1997)

    Google Scholar 

  2. Charnes, A., Cooper, W.W.: Chance Constrained Programming. Management Science 6, 73–79 (1959)

    Article  MathSciNet  Google Scholar 

  3. Danzig, G.B.: Linear Programming under Uncertainty. Management Science 1, 197–206 (1955)

    Article  MathSciNet  Google Scholar 

  4. Dubois, D., Prade, H.: Fuzzy Sets and Systems: Theory and Applications. Academic Press (1980)

    Google Scholar 

  5. Glen, J.J.: Mathematical Models in Farm Planning: A Survey. Operations Research 35, 641–666 (1987)

    Article  Google Scholar 

  6. Hayashi, K.: Multicriteria Analysis for Agricultural Resource Management: A Critical Survey and Future Perspectives. European Journal of Operational Research 122, 486–500 (2000)

    Article  Google Scholar 

  7. Itoh, T., Ishii, H., Nanseki, T.: A model of crop planning under uncertainty in agricultural management. International Journal of Production Economics 81, 555–558 (2003)

    Article  Google Scholar 

  8. Kall, P., Mayer, J.: Stochastic Linear Programming Models, Theory, and Computation. Springer (2005)

    Google Scholar 

  9. Katagiri, H., Ishii, H., Itoh, T.: Fuzzy Random Linear Programming Problem. In: Proceedings of Second European Workshop on Fuzzy Decision Analysis and Neural Networks for Management, Planning and Optimization, Dortmund, pp. 107–115 (1997)

    Google Scholar 

  10. Kwakernaak, H.: Fuzzy Random Variable-1. Information Sciences 15, 1–29 (1978)

    Article  MathSciNet  Google Scholar 

  11. Lai, V.J., Hwang, C.L.: Fuzzy Mathematical Programming. Springer (1992)

    Google Scholar 

  12. Luhandjula, M.K., Gupta, M.M.: On Fuzzy Stochastic Optimization. Fuzzy Sets and Systems 81, 47–55 (1996)

    Article  MathSciNet  Google Scholar 

  13. Puri, M.L., Ralescu, D.A.: Fuzzy Random Variables. Journal of Mathematical Analysis and Applications 14, 409–422 (1986)

    Article  MathSciNet  Google Scholar 

  14. Sakawa, M.: Fuzzy Sets and Interactive Multiobjective Optimization. Plenum Press (1993)

    Google Scholar 

  15. Sakawa, M., Nishizaki, I., Katagiri, H.: Fuzzy Stochastic Multiobjective Programming. Springer (2011)

    Google Scholar 

  16. Toyonaga, T., Itoh, T., Ishii, H.: A Crop Planning with Fuzzy Random Profit Coefficients. Fuzzy Optimization and Decision Making 4, 51–69 (2005)

    Article  MathSciNet  Google Scholar 

  17. Wang, G.-Y., Qiao, Z.: Linear Programming with Fuzzy Random Variable Coefficients. Fuzzy Sets and Systems 57, 295–311 (1993)

    Article  MathSciNet  Google Scholar 

  18. Yano, H., Matsui, K.: Fuzzy Approaches for Multiobjective Fuzzy Random Linear Programming Problems Through a Probability Maximization Model. In: Proceedings of The International MultiConference of Engineers and Computer Scientists 2011, Hong Kong, pp. 1349–1354 (2011)

    Google Scholar 

  19. Zimmermann, H.-J.: Fuzzy Sets, Decision-Making and Expert Systems. Kluwer Academic Publishers, Boston (1987)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Humanities and Social Sciences, Nagoya City University, Nagoya, 467-8501, Japan

    Hitoshi Yano

  2. Department of System Cybernetics, Graduate School of Engineering, Hiroshima University, Higashi-Hiroshima, 739-8511, Japan

    Masatoshi Sakawa

Authors
  1. Hitoshi Yano
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Masatoshi Sakawa
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hitoshi Yano .

Editor information

Editors and Affiliations

  1. University Paris-Est Créteil (UPEC), Créteil, France

    Kurosh Madani

  2. Departamento de Engenharia Informatica, University of Coimbra, Coimbra, Portugal

    António Dourado Correia

  3. Evolutionary Systems and Biomedical Engineering Lab, Instituto Superior Tecnico IST Systems and Robotics Institute, Lisboa, Portugal

    Agostinho Rosa

  4. Polytechnic Institute of Setúbal INSTICC, Setubal, Portugal

    Joaquim Filipe

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Yano, H., Sakawa, M. (2015). Interactive Fuzzy Decision Making for Multiobjective Fuzzy Random Linear Programming Problems and Its Application to a Crop Planning Problem. In: Madani, K., Correia, A., Rosa, A., Filipe, J. (eds) Computational Intelligence. IJCCI 2012. Studies in Computational Intelligence, vol 577. Springer, Cham. https://doi.org/10.1007/978-3-319-11271-8_10

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-11271-8_10

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-11270-1

  • Online ISBN: 978-3-319-11271-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation