Skip to main content
Springer Nature Link
Log in

Fuzzy Value Function’s Curvilinear and Surface Integral Base on Fuzzy Structured Element Method (I) – Fuzzy-valued Function’s Curvilinear Integral

  • Conference paper
Fuzzy Information and Engineering 2010

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 78))

  • 1071 Accesses

Abstract

According to the fuzzy structured element representation theorem of fuzzy-valued function, under the background of engineering, this paper gives the definition of fuzzy-valued function’s first form curvilinear integral, presents the representation theorem of two-dimensional fuzzy number and fuzzy vector based on fuzzy structured element, and gives the definition of the fuzzy-valued function’s second form curvilinear integral. In fact, both calculation method and property of fuzzy-valued function’s curvilinear integral have been presented in this paper.

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
eBook
USD 259.00
Price excludes VAT (USA)
Softcover Book
USD 329.99
Price excludes VAT (USA)

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.

Similar content being viewed by others

References

  1. Guo, S.Z.: Principle of fuzzy mathematical analysis based on structurede element. Dongbei University Press (2004)

    Google Scholar 

  2. Guo, S.Z.: Representation theory of fuzzy mathematical analysis based on structurede element. Progress in Natural Science 15(5), 547–552 (2005)

    Google Scholar 

  3. Guo, S.Z.: Commonly express method of fuzzy-valued function based on structured element. Fuzzy Systems and Mathematics 1, 82–86 (2005)

    Google Scholar 

  4. Buckley, J.J., Eslami, E.: Fuzzy plane geometry I:Points and lines. Fuzzy Sets and Systems 86(2), 179–188 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  5. Buckley, J.J., Eslami, E.: Fuzzy plane geometry II: Circles and polygons. Fuzzy Sets and Systems 87, 79–85 (1997)

    Article  MATH  MathSciNet  Google Scholar 

  6. Sun, X.D., Guo, S.Z.: O-fuzzy-number and the method of cCircular fuzzy structured element. Fuzzy Systems and Mathematics 3 (2009)

    Google Scholar 

  7. Lou, C.Z.: Introduction to fuzzy sets. Beijing University Press, Beijing (1989)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics and System Science, Liaoning Technical University, Fuxin, Liaoning, 123000, P.R. China

    Guo Sizong, Han jian & Chen Changhua

Authors
  1. Guo Sizong
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Han jian
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Chen Changhua
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Mathematics and Information Science Guangzhou Higher Education Mega Center , Guangzhou University, 230Wai Huan Xi Road, ZIP 510006, Guangdong, China

    Bing-yuan Cao

  2. Shaanxi Normal University, China

    Guo-jun Wang

  3. Institute of Mathematics and Systems Science, Liaoning Technical University , 123000, China

    Si-zong Guo

  4. School of Science, Jimei University , 361021, Xiamen, Fujian, China

    Shui-li Chen

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Sizong, G., jian, H., Changhua, C. (2010). Fuzzy Value Function’s Curvilinear and Surface Integral Base on Fuzzy Structured Element Method (I) – Fuzzy-valued Function’s Curvilinear Integral. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-14880-4_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14879-8

  • Online ISBN: 978-3-642-14880-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation