凹函数的范畴

Category of Concave Function

以凹函数为对象,以特殊的仿射函数为态射,建立了范畴CONF,指出凸集和凸模糊集为范畴CONF中的对象,证明了范畴CONF有FiniteProducts和Equalizers性质.

In this paper we build category CONF. The object of CONF is a concave function and the morphism of CONF is an affine function. It is pointed that convex sets and convex fuzzy sets are objects of category CONF, and category CONF has properties such as Finite Products and Equalizers.