Relationships between convexity and generalized convexity of comparable fuzzy functions

摘要

In this paper, we show some relations between the convexity and generalized convexity such as pseudo-convexity, strongly quasi-convexity of fuzzy mappings of several multi-variables by using a partial order relation. Also we established a necessary and sufficient condition for convexity of fuzzy mapping. Finally we showed a necessary condition for global minimum of a fuzzy mapping.