Convexity study of interval functions and functionals & fuzzy functions and functionals

Bing-yuan Cao ()
Additional contact information
Bing-yuan Cao: Guangzhou University

Fuzzy Information and Engineering, 2009, vol. 1, issue 4, 421-434

Abstract: Abstract The writer in this paper, on their foundation, discusses the convexity of interval and fuzzy function, interval and fuzzy functional variation. Besides he 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 fuzzyvalued 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. And finally he illustrates their application by example.

Keywords: Convexity; Interval; Function and functional; Fuzzy point; Fuzzy optimization (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s12543-009-0032-y Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:fuzinf:v:1:y:2009:i:4:d:10.1007_s12543-009-0032-y

Ordering information: This journal article can be ordered from
https://www.springer.com/journal/12543

DOI: 10.1007/s12543-009-0032-y

Access Statistics for this article

More articles in Fuzzy Information and Engineering from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().