Nothing Special   »   [go: up one dir, main page]
Skip to main content
Springer Nature Link
Log in

Convex Interval and Fuzzy (Valued) Functions with Functionals

  • Conference paper
Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

  • 1100 Accesses

Abstract

The writer in this paper, on the foundation of interval and fuzzy (value) function, interval and fuzzy (value) functional variation, puts forward a concept on convex interval and convex fuzzy (value) function with functional, gives the definition of a convex function and convex functional about an interval, a common function at fuzzy points, a fuzzy-valued function at common points and a fuzzy-valued function at fuzzy points, and judges their convexity condition. This lays a foundation on the application of fuzzy optimal theories and fuzzy variation methods at physical and approximate calculation.

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)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
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.

Similar content being viewed by others

References

  1. Cao, B.Y.: Variation of Interval-valued and Fuzzy Functional. In: 4th IFSA Congress, Brussels, pp. 21–24 (1991)

    Google Scholar 

  2. Cao, B.Y.: Variation of condition extremum in interval and fuzzy valued functional. J. Fuzzy Mathematics 9(4), 845–852 (2001)

    MATH  Google Scholar 

  3. Cao, B.Y.: Variation of condition extremum with fuzzy variable. J. Fuzzy Mathematics 7(3), 559–564 (1999)

    MATH  Google Scholar 

  4. Jiaten, M.F.: Variational method and its application. Science technique publisher of Shanghai, Shanghai (1961)

    Google Scholar 

  5. Cen, Y.T.: Newton-Leibniz formulas of interval-valued function and fuzzy-valued function. J. Fuzzy Mathematics 3-4, 13–18 (1987)

    MathSciNet  Google Scholar 

  6. Wang, D.M., Lou, C.Z.: Extension of fuzzy differenial calculus. Fuzzy Mathematics 1, 75–80 (1985)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 510006, China, 230 Wai Huan Xi Road

    Bing-yuan Cao

Authors
  1. Bing-yuan Cao
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Cao, By. (2009). Convex Interval and Fuzzy (Valued) Functions with Functionals. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_30

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-88914-4_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-88913-7

  • Online ISBN: 978-3-540-88914-4

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation