A Solution to a System of Linear Equations with Fuzzy Numbers | SpringerLink
Skip to main content
Springer Nature Link
Log in

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))

  • 1173 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

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

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

  1. School of Mathematics System Science, Liaocheng University, Shandong, 252059, P.R. China

    Xingfang Zhang & Guangwu Meng

Authors
  1. Xingfang Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guangwu Meng
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Computing, Hong Kong Polytechnic University, P.O. Box, Hong Kong, China

    Daniel S. Yeung

  2. School of Creative Media, City University of Hong Kong,, China

    Zhi-Qiang Liu

  3. Department of Mathematics and Computer Science, Hebei University, 071002, Baoding, Hebei, P.R. China

    Xi-Zhao Wang

  4. School of Electrical and Information Engineering, University of Sydney, 2006, NSW, Australia

    Hong Yan

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

Search

Navigation