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225646

Convex interval and fuzzy (valued) functions with functionals

Bing-yuan Cao

pp. 233-244

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.

Publication details

Published in:

Cao Bing-yuan, Zhang Cheng-yi, Li Tai-fu (2009) Fuzzy information and Engineering I. Dordrecht, Springer.

Pages: 233-244

DOI: 10.1007/978-3-540-88914-4_30

Full citation:

Cao Bing-yuan (2009) „Convex interval and fuzzy (valued) functions with functionals“, In: B. Cao, C. Zhang & T.-f. Li (eds.), Fuzzy information and Engineering I, Dordrecht, Springer, 233–244.