Researches on convex extension problems of fuzzy valued functions


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.


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