Abstract
In the present paper, the convexity of fuzzy sets is generalized based on
conjunctive aggregation functions, and the degree of the non-convexity of fuzzy sets
is considered as an application of the generalized convexity. Then, the properties of
the generalized convexity of fuzzy sets, and the properties of the degree of the nonconvexity
of fuzzy sets with respect to operations are investigated.
