Skip to main content
SpringerLink
Log in

Sensitivity Analysis for Fuzzy Linear Programming Problems

  • Conference paper
Rough Sets, Fuzzy Sets, Data Mining and Granular Computing (RSFDGrC 2011)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6743))

Abstract

Kheirfam and Hasani [5] proposed a method for the sensitivity analysis for fuzzy linear programming problem with fuzzy variables. In this paper, a new method is proposed for solving same type of problems. The main advantage of proposed method over the existing method is that if the same problems are solved by both the existing as well as proposed method then the obtained results will be same, while, it is easy and less time consuming to apply the proposed method as compared to existing method. To illustrate the proposed method and to show the advantage of proposed method the numerical examples, solved by Kheirfam and Hasani, are solved by the proposed method and the obtained results are compared.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. Dutta, D., Rao, J.R., Tiwari, R.N.: Sensitivity analysis in fuzzy linear fractional programming problem. Fuzzy Sets and Systems 48, 211–216 (1992)

    Article  MathSciNet  MATH  Google Scholar 

  2. Fuller, R.: On stability in fuzzy linear programming problems. Fuzzy Sets and Systems 30, 339–344 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  3. Gupta, P., Bhatia, D.: Sensitivity analysis in fuzzy multi-objective linear fractional programming problem. Fuzzy Sets and Systems 122, 229–236 (2001)

    Article  MathSciNet  MATH  Google Scholar 

  4. Hamacher, H., Leberling, H., Zimmermann, H.J.: Sensitivity analysis in fuzzy linear programming. Fuzzy Sets and Systems 1, 269–281 (1978)

    Article  MathSciNet  MATH  Google Scholar 

  5. Kheirfam, B., Hasani, F.: Sensitivity analysis for fuzzy linear programming problems with fuzzy variables. Advanced Modeling and Optimization 12, 257–272 (2010)

    MathSciNet  MATH  Google Scholar 

  6. Lotfi, F.H., Jondabeh, M.A., Faizrahnemoon, M.: Senstivity analysis in fuzzy environment. Applied Mathematical Sciences 4, 1635–1646 (2010)

    MathSciNet  MATH  Google Scholar 

  7. Precup, R.E., Preitl, S.: Stability and sensitivity analysis of fuzzy control systems. Mechatronics Applications 3, 61–76 (2006)

    Google Scholar 

  8. Sakawa, M., Yano, H.: An interactive fuzzy satisfying method for multi-objective linear fractional programming problems. Fuzzy Sets and Systems 28, 129–144 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  9. Tanaka, H., Asai, K.: Fuzzy linear programming with fuzzy number. Fuzzy Sets and Systems 13, 1–10 (1984)

    Article  MathSciNet  MATH  Google Scholar 

  10. Tanaka, H., Ichihashi, H., Asai, K.: A value of information in fuzzy linear programming problems via sensitivity analysis. Fuzzy Sets and Systems 18, 119–129 (1986)

    Article  MATH  Google Scholar 

  11. Verdegay, J.L., Aguado, C.G.: On the sensitivity of membership function for fuzzy linear programming problem. Fuzzy Sets and Systems 56, 47–49 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  12. Yager, R.R.: A procedure for ordering fuzzy subsets of the unit interval. Information Sciences 24, 143–161 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  13. Zadeh, L.A.: Fuzzy sets. Information and Control 8, 338–353 (1965)

    Article  MathSciNet  MATH  Google Scholar 

  14. Zimmerman, H.J.: Description and optimization of fuzzy systems. International Journal of General Systems 2, 209–215 (1976)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mathematics and Computer Applications, Thapar University, Patiala, 147004, India

    Amit Kumar & Neha Bhatia

Authors
  1. Amit Kumar
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Neha Bhatia
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. State University Higher School of Economics, Pokrovskiy Bd. 11, 109028, Moscow, Russia

    Sergei O. Kuznetsov

  2. Institute of Mathematics, University of Warsaw, ul. Banacha 2, 02-097, Warsaw, Poland

    Dominik Ślęzak

  3. Department of Computer Science, University of Regina, 3737 Wascana Parkway, S4S 0A2, Regina, SK, Canada

    Daryl H. Hepting

  4. Birbeck University of London, Malet Street, WC1E 7HX, London, UK

    Boris G. Mirkin

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Kumar, A., Bhatia, N. (2011). Sensitivity Analysis for Fuzzy Linear Programming Problems. In: Kuznetsov, S.O., Ślęzak, D., Hepting, D.H., Mirkin, B.G. (eds) Rough Sets, Fuzzy Sets, Data Mining and Granular Computing. RSFDGrC 2011. Lecture Notes in Computer Science(), vol 6743. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-21881-1_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-21881-1_18

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-21880-4

  • Online ISBN: 978-3-642-21881-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation