Researches on convex extension problems of fuzzy valued functions
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Authors
Yu-e Bao
- College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Tongliao 028043, China.
Bing Dai
- College of Mathematics, Inner Mongolia University for Nationalities, Inner Mongolia Tongliao 028043, China.
Abstract
In this paper, we extend the concept of fuzzy valued convex functions, subdifferential, and introduce
a kind of subdifferential of general fuzzy valued functions. By means of the convexification
method, the paper studies the relationships between the subdifferential of general fuzzy valued functions
and the subdifferential of convexification fuzzy valued functions, so that we get the conditions of
how lower semi continuous fuzzy valued functions can be extended to fuzzy valued convex functions.
Share and Cite
ISRP Style
Yu-e Bao, Bing Dai, Researches on convex extension problems of fuzzy valued functions, Journal of Mathematics and Computer Science, 16 (2016), no. 2, 239-247
AMA Style
Bao Yu-e, Dai Bing, Researches on convex extension problems of fuzzy valued functions. J Math Comput SCI-JM. (2016); 16(2):239-247
Chicago/Turabian Style
Bao, Yu-e, Dai, Bing. "Researches on convex extension problems of fuzzy valued functions." Journal of Mathematics and Computer Science, 16, no. 2 (2016): 239-247
Keywords
- Fuzzy valued functions
- subdifferential
- convexification fuzzy valued functions
- convex extension.
MSC
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