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

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  • Bing-yuan Cao

    (Guangzhou University)

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.

Suggested Citation

  • Bing-yuan Cao, 2009. "Convexity study of interval functions and functionals & fuzzy functions and functionals," Fuzzy Information and Engineering, Springer, vol. 1(4), pages 421-434, December.
    • Handle: RePEc:spr:fuzinf:v:1:y:2009:i:4:d:10.1007_s12543-009-0032-y
    DOI: 10.1007/s12543-009-0032-y
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    Cited by:

    1. Pedro Huidobro & Pedro Alonso & Vladimír Janiš & Susana Montes, 2022. "Convexity and level sets for interval-valued fuzzy sets," Fuzzy Optimization and Decision Making, Springer, vol. 21(4), pages 553-580, December.

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