Skip to main content

A Solution to a System of Linear Equations with Fuzzy Numbers

  • Conference paper
Advances in Machine Learning and Cybernetics

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 3930))

  • 1065 Accesses

Abstract

The concepts and solutions to a system of linear equations of interval numbers have been discussed previously. In this paper, we will extend the concepts and solutions to from the system of interval numbers to the system of fuzzy numbers. The basic properties of the system of linear equations with fuzzy numbers are discussed.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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. Xingfang, Z.: A kind of system grey linear equations and the solution of its matrix. The Journal of Grey System l.2(2), 119–129 (1990)

    MATH  MathSciNet  Google Scholar 

  2. The property of four arithmetic operation of fuzzy numbers and linear equation of fuzzy number. In: Proceedings of IEEE International Conference on Machine Learning and Cybernetics, pp. 2669–2671 (2003)

    Google Scholar 

  3. Hong Xing, L., Pei Zhuang, W.: Fuzzy mathematics. Beijing National Defense Industry Publishing Company (1993) (in Chinese)

    Google Scholar 

  4. Xingfang, Z.: The simplification of addition and subtraction operations of fuzzy numbers. The Journal of Fuzzy Math. 4, 959–968 (2002)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Zhang, X., Meng, G. (2006). A Solution to a System of Linear Equations with Fuzzy Numbers. In: Yeung, D.S., Liu, ZQ., Wang, XZ., Yan, H. (eds) Advances in Machine Learning and Cybernetics. Lecture Notes in Computer Science(), vol 3930. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11739685_44

Download citation

  • DOI: https://doi.org/10.1007/11739685_44

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-33584-9

  • Online ISBN: 978-3-540-33585-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics