Skip to main content
SpringerLink
Log in

A method for solving a fuzzy linear programming

  • Published:
Korean Journal of Computational and Applied Mathematics Aims and scope Submit manuscript

Abstract

In this paper a fuzzy linear programming problem is presented. Then using the concept of comparison of fuzzy numbers, by the aid of the Mellin transform, we introduce a method for solving this problem.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. L. Compos and J.L. Verdegay,Linear programming problems and ranking of fuzzy numbers, Fuzzy Sets and Systems, 32 (1989), 1–12.

    Article  MathSciNet  Google Scholar 

  2. M. Delgado, J.L. Verdegay and M.A. Vila,A general model for fuzzy linear programming, Fuzzy Sets and Systems, 29 (1989), 21–29.

    Article  MATH  MathSciNet  Google Scholar 

  3. B. Epstein,Some application of the Mellin transform in statistics, Ann. Math. Statist., 19 (1948), 370–379.

    Article  MATH  Google Scholar 

  4. P. Fortemps and M. Roubens,Ranking and defuzzification methods based on area compensation, Fuzzy Sets and Systems, 82 (1996), 319–330.

    Article  MATH  MathSciNet  Google Scholar 

  5. E.S. Lee and R.J. Li,Comparison of fuzzy numbers based on the probability measure of fuzzy events, Comput. Math. Appl., 15 (1988), 887–896.

    Article  MATH  MathSciNet  Google Scholar 

  6. H.R. Maleki, M. Tata and M. Mashinchi,Linear programming with fuzzy variables, Fuzzy Sets and Systems,109(2000), 21–33.

    Article  MATH  MathSciNet  Google Scholar 

  7. C.S. Park,The Mellin transform in probabilistic cash flow modeling, Engry. Economist., 32 (1987), 115–134.

    Article  Google Scholar 

  8. M. Sakawa,Fuzzy Sets and Interactive Multiobjective Optimization, Plenum Press, New York, 1993.

    MATH  Google Scholar 

  9. Li Xiaozhang,Possibilistic linear programming problems with fuzzy constraints, The Journal of Fuzzy Mathematics, 5 (1997), 425–430.

    Google Scholar 

  10. Li Xiaozhang,Fuzzy linear programming problems with fuzzy variables and fuzzy coefficients, BUSEFAL, 73 (1998), 45–52.

    Google Scholar 

  11. K.P. Yoon,A probabilistic approach to rank complex fuzzy numbers, Fuzzy Sets and Systems, 80 (1996) 167–176.

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Imam Mohammad Baghar Tecnical College, Sari, Iran

    E. Yazdani Peraei

  2. Faculty of Mathematics and Computer Scinces, Shahid Bahonar University of Kerman, Kerman, Iran

    H. R. Maleki & M. Mashinchi

Authors
  1. E. Yazdani Peraei
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. H. R. Maleki
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. M. Mashinchi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. Yazdani Peraei.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Peraei, E.Y., Maleki, H.R. & Mashinchi, M. A method for solving a fuzzy linear programming. Korean J. Comput. & Appl. Math. 8, 347–356 (2001). https://doi.org/10.1007/BF02941971

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02941971

AMS Mathematics Subject Classification

Key words and phrases

Search

Navigation